:: AMI_4 semantic presentation

begin

begin

definition
func Euclide-Algorithm -> ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) equals :: AMI_4:def 1
(0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) .--> ((dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) := (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( V2() Relation-like {0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V32() ) set ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined {0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V32() ) set ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like one-to-one finite ) set ) +* ((1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) .--> (Divide ((dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,(dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( V2() Relation-like {1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined {1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like one-to-one finite ) set ) +* ((2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) .--> ((dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) := (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( V2() Relation-like {2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined {2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like one-to-one finite ) set ) +* ((3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) .--> ((dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) >0_goto 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( V2() Relation-like {3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined {3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like one-to-one finite ) set ) +* (4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) .--> (halt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( V2() Relation-like {4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined {4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( non empty finite V64() V65() ) set ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like one-to-one finite ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) set ) : ( ( Relation-like Function-like ) ( Relation-like the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) set ) ;
end;

theorem :: AMI_4:1
dom Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) : ( ( ) ( finite ) set ) = 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ;

begin

theorem :: AMI_4:2
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) ) ;

theorem :: AMI_4:3
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = ((Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) div ((Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) : ( ( integer ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = ((Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) mod ((Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) : ( ( integer ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) ) ;

theorem :: AMI_4:4
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) ) ;

theorem :: AMI_4:5
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( ( (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) implies IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) & ( (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) <= 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) implies IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) ) ;

theorem :: AMI_4:6
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for k, i being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) = Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) ;

theorem :: AMI_4:7
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) )
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for x, y being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) & s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) . (dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) & x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
(Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) gcd y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) set ) ;

definition
func Euclide-Function -> ( ( Function-like ) ( Relation-like FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -valued Function-like ) PartFunc of ,) means :: AMI_4:def 2
for p, q being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) holds
( [p : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ,q : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ] : ( ( ) ( ) set ) in it : ( ( ) ( ) set ) iff ex x, y being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st
( x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & p : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) = ((dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,(dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) --> (x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ,y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) set ) & q : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) = (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) .--> (x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) gcd y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) set ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( V2() Relation-like {(dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) } : ( ( ) ( non empty finite ) set ) -defined the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined {(dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) } : ( ( ) ( non empty finite ) set ) -defined Function-like one-to-one K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) set ) ) );
end;

theorem :: AMI_4:8
for p being ( ( ) ( ) set ) holds
( p : ( ( ) ( ) set ) in dom Euclide-Function : ( ( Function-like ) ( Relation-like FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -valued Function-like ) PartFunc of ,) : ( ( ) ( ) set ) iff ex x, y being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st
( x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & p : ( ( ) ( ) set ) = ((dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,(dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) --> (x : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ,y : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) set ) ) ) ;

theorem :: AMI_4:9
for i, j being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st i : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & j : ( ( integer ) ( V11() V12() integer ext-real ) Integer) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
Euclide-Function : ( ( Function-like ) ( Relation-like FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -valued Function-like ) PartFunc of ,) . (((dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,(dl. 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) --> (i : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ,j : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) set ) : ( ( ) ( ) set ) = (dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) .--> (i : ( ( integer ) ( V11() V12() integer ext-real ) Integer) gcd j : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) set ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( V2() Relation-like {(dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) } : ( ( ) ( non empty finite ) set ) -defined the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined {(dl. 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V63() ) ( V63() ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) } : ( ( ) ( non empty finite ) set ) -defined Function-like one-to-one K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite ) set ) ;

registration
cluster Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) -> Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ;
end;

registration
cluster Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) Function) -> Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite non halt-free ;
end;

theorem :: AMI_4:10
Euclide-Algorithm : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like finite non halt-free ) Function) , Start-At (0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( non empty Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding finite finite-yielding V32() ext-real non positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) set ) computes Euclide-Function : ( ( Function-like ) ( Relation-like FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined FinPartSt SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) Element of K6(K184(K286(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V64() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -valued Function-like ) PartFunc of ,) ;