begin
theorem
for
P1,
P2 being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P1 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) &
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P2 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
(
Comput (
P1 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
P2 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) &
CurInstr (
P1 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,k : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ) : ( ( ) ( )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
= CurInstr (
P2 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
(Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,k : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ) : ( ( ) ( )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ) ;
theorem
for
P1,
P2 being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P1 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) &
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P2 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
(
LifeSpan (
P1 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
= LifeSpan (
P2 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) &
Result (
P1 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Result (
P2 : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
for
m being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
<= LifeSpan (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
Comput (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
for
m being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
<= LifeSpan (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
Comput (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
begin
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
stop I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) )
set )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,(LifeSpan ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
= card I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
set ) ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
< LifeSpan (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
IC (Comput ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,k : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
in dom I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( ( ) (
ext-real non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements V124() )
set ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) &
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
<= LifeSpan (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
Comput (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,(LifeSpan ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
= card I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
set ) ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
( not
I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) or
CurInstr (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
(Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,(LifeSpan ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ) : ( ( ) ( )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
= halt SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) (
V93(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
parahalting )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) or
IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,(LifeSpan ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
= card I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
set ) ) ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
I : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) &
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
< LifeSpan (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
CurInstr (
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
(Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,k : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ) : ( ( ) ( )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
<> halt SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) (
V93(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
parahalting )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
<= LifeSpan (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
<= LifeSpan (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
k : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
m,
n being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
for
P,
P1 being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) )
for
s1 being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting shiftable ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting shiftable )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
stop J : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting shiftable ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting shiftable )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
shiftable )
set )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) &
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) )
= Comput (
(P1 : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() shiftable ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s1 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
m : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) holds
Exec (
(CurInstr (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) )) : ( ( ) ( )
Element of the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
(IncIC (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) ,n : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= IncIC (
(Following (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ,
n : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
begin
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting shiftable ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting shiftable )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
k being ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) st
stop (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
set ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() )
set )
c= P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
IncIC (
(Comput (((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) +* (stop J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() shiftable ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,(Initialize (Result ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) set ) ,k : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ,
(card I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= Comput (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) set ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ,
((LifeSpan ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) + k : ( ( ) ( ext-real epsilon-transitive epsilon-connected ordinal natural V14() V15() integer ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting shiftable ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting shiftable )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
LifeSpan (
(P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) set ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) set ) ) : ( (
Relation-like Function-like ) ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
set ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
= (LifeSpan ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
+ (LifeSpan (((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) +* (stop J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() shiftable ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,(Initialize (Result ((P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) +* (stop I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) set ) ) : ( ( Relation-like Function-like ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) set ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) set ) )) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting shiftable ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting shiftable )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
IExec (
(I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting )
set ) ,
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= IncIC (
(IExec (J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,(Initialize (IExec (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) set ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ,
(card I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
a being ( (
Int-like ) (
Int-like )
Int_position)
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
J being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
parahalting shiftable ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
paraclosed parahalting shiftable )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
(IExec ((I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) set ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
. a : ( (
Int-like ) (
Int-like )
Int_position) : ( ( ) (
ext-real V14()
V15()
integer )
set )
= (IExec (J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() parahalting shiftable ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting shiftable ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,(Initialize (IExec (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) set ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
. a : ( (
Int-like ) (
Int-like )
Int_position) : ( ( ) (
ext-real V14()
V15()
integer )
set ) ;
begin
theorem
for
s1,
s2 being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) st
s1 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) )
| (SCM-Data-Loc : ( ( ) ( ) Element of K19(SCM-Memory : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) \/ {(IC ) : ( ( ) ( ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) } : ( ( ) ( non empty ) set ) ) : ( ( ) ( non
empty )
set ) : ( (
Relation-like ) (
Relation-like SCM-Data-Loc : ( ( ) ( )
Element of
K19(
SCM-Memory : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
\/ {(IC ) : ( ( ) ( ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) } : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible )
set )
= s2 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) )
| (SCM-Data-Loc : ( ( ) ( ) Element of K19(SCM-Memory : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) \/ {(IC ) : ( ( ) ( ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) } : ( ( ) ( non empty ) set ) ) : ( ( ) ( non
empty )
set ) : ( (
Relation-like ) (
Relation-like SCM-Data-Loc : ( ( ) ( )
Element of
K19(
SCM-Memory : ( ( ) ( )
set ) ) : ( ( ) ( )
set ) )
\/ {(IC ) : ( ( ) ( ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) } : ( ( ) ( non
empty )
set ) : ( ( ) ( non
empty )
set )
-defined the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible )
set ) holds
s1 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) )
= s2 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) ;
theorem
for
i being ( ( ) ( )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s1,
s2 being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) st
DataPart s1 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set )
= DataPart s2 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set ) &
InsCode i : ( ( ) ( )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) : ( ( ) (
ext-real epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer )
Element of
InsCodes the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) : ( ( ) ( non
empty )
set ) )
<> 3 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) holds
DataPart (Exec (i : ( ( ) ( ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s1 : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set )
= DataPart (Exec (i : ( ( ) ( ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s2 : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set ) ;
theorem
for
s1,
s2 being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) )
for
i being ( (
shiftable ) (
shiftable )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) st
DataPart s1 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set )
= DataPart s2 : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
State of ( ( ) ( )
set ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set ) holds
DataPart (Exec (i : ( ( shiftable ) ( shiftable ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s1 : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set )
= DataPart (Exec (i : ( ( shiftable ) ( shiftable ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s2 : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible data-only )
set ) ;
theorem
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
i being ( (
parahalting ) (
parahalting )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
Exec (
i : ( (
parahalting ) (
parahalting )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
= IExec (
(Load i : ( ( parahalting ) ( parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35() 1 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-element V74()
paraclosed parahalting )
set ) ,
P : ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) ,
s : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set ) ;
theorem
for
a being ( (
Int-like ) (
Int-like )
Int_position)
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
I being ( ( non
empty Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free parahalting ) ( non
empty T-Sequence-like Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like V35()
V74()
halt-free V84(
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
paraclosed parahalting )
Program of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
j being ( (
shiftable parahalting ) (
shiftable parahalting )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
(IExec ((I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' j : ( ( shiftable parahalting ) ( shiftable parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) set ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
. a : ( (
Int-like ) (
Int-like )
Int_position) : ( ( ) (
ext-real V14()
V15()
integer )
set )
= (Exec (j : ( ( shiftable parahalting ) ( shiftable parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,(IExec (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free parahalting ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() halt-free V84( SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) paraclosed parahalting ) Program of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
. a : ( (
Int-like ) (
Int-like )
Int_position) : ( ( ) (
ext-real V14()
V15()
integer )
set ) ;
theorem
for
a being ( (
Int-like ) (
Int-like )
Int_position)
for
P being ( (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total ) (
Relation-like NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) )
-defined the
InstructionsF of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set )
-valued Function-like total )
Instruction-Sequence of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
s being ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total 0 : ( ( ) (
ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14()
V15()
integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) )
-started )
State of ( ( ) ( )
set ) )
for
i being ( (
No-StopCode parahalting ) (
No-StopCode parahalting )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) )
for
j being ( (
shiftable parahalting ) (
shiftable parahalting )
Instruction of ( (
standard-ins V76()
J/A-independent V79() ) ( non
empty Relation-like standard-ins V76()
J/A-independent V79() )
set ) ) holds
(IExec ((i : ( ( No-StopCode parahalting ) ( No-StopCode parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ';' j : ( ( shiftable parahalting ) ( shiftable parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like V35() V74() paraclosed parahalting ) set ) ,P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
. a : ( (
Int-like ) (
Int-like )
Int_position) : ( ( ) (
ext-real V14()
V15()
integer )
set )
= (Exec (j : ( ( shiftable parahalting ) ( shiftable parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,(Exec (i : ( ( No-StopCode parahalting ) ( No-StopCode parahalting ) Instruction of ( ( standard-ins V76() J/A-independent V79() ) ( non empty Relation-like standard-ins V76() J/A-independent V79() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( ext-real empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() V15() integer Relation-like non-empty empty-yielding Function-like one-to-one constant functional V74() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K316(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V86(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V94(2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( ext-real positive non empty epsilon-transitive epsilon-connected ordinal natural V14() V15() integer non with_non-empty_elements ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K19(REAL : ( ( ) ( non empty V35() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) )) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total ) (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like K316(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ,
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) ) : ( (
Relation-like the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total ) (
Relation-like non-empty the
carrier of
SCMPDS : ( (
strict ) ( non
empty V86(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) )
IC-Ins-separated strict V94(2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) )
AMI-Struct over 2 : ( ( ) (
ext-real positive non
empty epsilon-transitive epsilon-connected ordinal natural V14()
V15()
integer non
with_non-empty_elements )
Element of
NAT : ( ( ) ( non
empty epsilon-transitive epsilon-connected ordinal )
Element of
K19(
REAL : ( ( ) ( non
empty V35() )
set ) ) : ( ( ) ( )
set ) ) ) ) : ( ( ) ( )
set )
-defined Function-like total )
set )
-compatible total )
set )
. a : ( (
Int-like ) (
Int-like )
Int_position) : ( ( ) (
ext-real V14()
V15()
integer )
set ) ;