:: SCMFSA6A semantic presentation

begin

definition
let P be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) Function) ;
let l be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ;
func Directed (P,l) -> ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) equals :: SCMFSA6A:def 1
P : ( ( ) ( ) set ) +~ ((halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ins-loc-free V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,(goto l : ( ( ) ( ) AMI-Struct over P : ( ( ) ( ) set ) ) ) : ( ( ) ( with_explicit_jumps IC-relocable ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( ) ( ) set ) ;
end;

definition
let P be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) Function) ;
func Directed P -> ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) equals :: SCMFSA6A:def 2
Directed (P : ( ( ) ( ) set ) ,(card P : ( ( ) ( ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;
end;

registration
let I be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
cluster Directed I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) set ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) -> Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ;
end;

theorem :: SCMFSA6A:1
for I being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds not halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ins-loc-free V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) in rng (Directed I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( ) ( non empty finite ) set ) ;

theorem :: SCMFSA6A:2
for m being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) )
for I being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds Reloc ((Directed I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,m : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) = ((id the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( total ) ( Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like one-to-one total ) Element of K48(K49( the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) , the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) +* ((halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ins-loc-free V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) .--> (goto (m : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) + (card I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non ins-loc-free V59( the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) V144(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( ) ( Relation-like {(halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ins-loc-free V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) } : ( ( ) ( non empty finite ) set ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -defined {(halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ins-loc-free V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) } : ( ( ) ( non empty finite ) set ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued V17() Function-like one-to-one constant finite ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like ) set ) * (Reloc (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ,m : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) : ( ( Relation-like ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ;

theorem :: SCMFSA6A:3
for i being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for s being ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( InsCode i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) : ( ( ) ( non empty ) set ) ) in {0 : ( ( ) ( Relation-like non-empty empty-yielding NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural empty Function-like one-to-one constant functional ext-real V27() V28() integer finite finite-yielding V39() FinSequence-like FinSubsequence-like FinSequence-membered Function-yielding V124() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ,6 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ,7 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ,8 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) } : ( ( ) ( finite ) Element of K48(NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) ) or (Exec (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,s : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V72( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real V27() V28() integer V46() ) set ) ) ;

theorem :: SCMFSA6A:4
canceled;

theorem :: SCMFSA6A:5
canceled;

theorem :: SCMFSA6A:6
canceled;

theorem :: SCMFSA6A:7
canceled;

theorem :: SCMFSA6A:8
for s1, s2 being ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for n being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) )
for i being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) st (IC s1 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) = IC s2 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) & DataPart s1 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible data-only ) set ) = DataPart s2 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible data-only ) set ) holds
( (IC (Exec (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,s1 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) + n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) = IC (Exec ((IncAddr (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( with_explicit_jumps IC-relocable ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,s2 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) & DataPart (Exec (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,s1 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible data-only ) set ) = DataPart (Exec ((IncAddr (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( with_explicit_jumps IC-relocable ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,s2 : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the U2 of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible data-only ) set ) ) ;

theorem :: SCMFSA6A:9
canceled;

theorem :: SCMFSA6A:10
canceled;

theorem :: SCMFSA6A:11
canceled;

theorem :: SCMFSA6A:12
canceled;

theorem :: SCMFSA6A:13
canceled;

theorem :: SCMFSA6A:14
canceled;

begin

definition
canceled;
let I, J be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
func I ";" J -> ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) equals :: SCMFSA6A:def 4
(Directed (CutLastLoc (stop I : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) +* (Reloc (J : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over I : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) ,(card I : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) )) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) : ( ( Relation-like Function-like ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ;
end;

registration
let I be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
let J be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial non halt-free ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial non halt-free ) Program of ) ;
cluster I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) set ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial non halt-free ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial non halt-free ) set ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) -> Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial non halt-free ;
end;

theorem :: SCMFSA6A:15
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of )
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) st l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) in dom I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( non empty finite V117() ) set ) & I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) . l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) <> halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ins-loc-free V92(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) with_explicit_jumps IC-relocable V142(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) holds
(I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) . l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) . l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) ;

theorem :: SCMFSA6A:16
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds Directed I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) c= I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:17
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds dom I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( non empty finite V117() ) set ) c= dom (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( non empty finite V117() ) set ) ;

theorem :: SCMFSA6A:18
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) +* (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like Function-like ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite ) set ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

begin

definition
let i be ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;
let J be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
func i ";" J -> ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) equals :: SCMFSA6A:def 5
(Macro i : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ";" J : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over i : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
end;

definition
let I be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
let j be ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;
func I ";" j -> ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) equals :: SCMFSA6A:def 6
I : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ";" (Macro j : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over I : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
end;

definition
let i, j be ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;
func i ";" j -> ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) equals :: SCMFSA6A:def 7
(Macro i : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ";" (Macro j : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over i : ( ( standard-ins V58() ) ( Relation-like non empty standard-ins V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;
end;

theorem :: SCMFSA6A:19
for i, j being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) holds i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = (Macro i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) set ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:20
for i, j being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) holds i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" (Macro j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) set ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:21
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds card (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) = (card I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) + (card J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ;

registration
let P be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;
let l be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ;
cluster Directed (P : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ,l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) -> Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite halt-free ;
end;

registration
let P be ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;
cluster Directed P : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) -> Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite halt-free ;
end;

theorem :: SCMFSA6A:22
for I being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) st I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) is halt-free holds
Directed (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite halt-free ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;

theorem :: SCMFSA6A:23
for I being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) holds Reloc ((Directed I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite halt-free ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) = Directed ((Reloc (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ,k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) set ) ,((card I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) + k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite halt-free ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ;

theorem :: SCMFSA6A:24
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds Directed (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial halt-free V63( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" (Directed J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial halt-free V63( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) preProgram of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:25
for I, J, K being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" (J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:26
for k being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for I, J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" (J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:27
for j being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for I, K being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" (j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:28
for j, k being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for I being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" (j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:29
for i being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for J, K being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" (J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:30
for i, k being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" (J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:31
for i, j being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for K being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" (j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" K : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:32
for i, j, k being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) holds (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) = i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" (j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" k : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ;

theorem :: SCMFSA6A:33
for i being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for J being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds card (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) = (card J : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) + 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA6A:34
for j being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) )
for I being ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) holds card (I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) = (card I : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) + 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA6A:35
for i, j being ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) holds card (i : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ";" j : ( ( ) ( with_explicit_jumps IC-relocable ) Instruction of ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V93(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) with_explicit_jumps IC-relocable V143(3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V55() J/A-independent V58() ) ( Relation-like non empty standard-ins V55() J/A-independent V58() ) set ) -valued non empty Function-like finite initial ) Program of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural ext-real V27() V28() integer ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) set ) ) = 4 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty ext-real positive V27() V28() integer V46() ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty ) Element of K48(REAL : ( ( ) ( non empty V17() non finite V47() ) set ) ) : ( ( ) ( ) set ) ) ) ;