:: SCMPDS_8 semantic presentation

REAL is non empty V43() set
NAT is non empty epsilon-transitive epsilon-connected ordinal V43() countable denumerable Element of K32(REAL)
K32(REAL) is set
SCM is non empty with_non-empty_values IC-Ins-separated strict V103(2) AMI-Struct over 2
2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
SCM-Memory is set
{NAT} is non empty V76() V77() set
K216() is set
1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
{1} is non empty countable V76() V77() Element of K32(NAT)
K32(NAT) is set
K66(NAT,REAL,{1},NAT) is Relation-like NAT -defined REAL -valued V33() V34() V35() Element of K32(K33(NAT,REAL))
K33(NAT,REAL) is Relation-like set
K32(K33(NAT,REAL)) is set
{NAT} \/ K216() is non empty set
K377(NAT,SCM-Memory) is Element of SCM-Memory
K217() is non empty set
SCM-OK is Relation-like SCM-Memory -defined 2 -valued Function-like total V30( SCM-Memory ,2) Element of K32(K33(SCM-Memory,2))
K33(SCM-Memory,2) is Relation-like set
K32(K33(SCM-Memory,2)) is set
SCM-VAL is non empty Relation-like 2 -defined Function-like total set
INT is non empty V43() set
K282(NAT,INT) is Relation-like NAT -defined Function-like T-Sequence-like V43() 2 -element countable V83() set
SCM-Exec is non empty Relation-like K217() -defined K133((product (SCM-OK (#) SCM-VAL)),(product (SCM-OK (#) SCM-VAL))) -valued Function-like total V30(K217(),K133((product (SCM-OK (#) SCM-VAL)),(product (SCM-OK (#) SCM-VAL)))) Element of K32(K33(K217(),K133((product (SCM-OK (#) SCM-VAL)),(product (SCM-OK (#) SCM-VAL)))))
SCM-OK (#) SCM-VAL is Relation-like SCM-Memory -defined Function-like total set
product (SCM-OK (#) SCM-VAL) is functional with_common_domain product-like set
K133((product (SCM-OK (#) SCM-VAL)),(product (SCM-OK (#) SCM-VAL))) is non empty functional set
K33(K217(),K133((product (SCM-OK (#) SCM-VAL)),(product (SCM-OK (#) SCM-VAL)))) is Relation-like set
K32(K33(K217(),K133((product (SCM-OK (#) SCM-VAL)),(product (SCM-OK (#) SCM-VAL))))) is set
AMI-Struct(# SCM-Memory,K377(NAT,SCM-Memory),K217(),SCM-OK,SCM-VAL,SCM-Exec #) is strict AMI-Struct over 2
the carrier of SCM is set
the_Values_of SCM is Relation-like non-empty the carrier of SCM -defined Function-like total set
the Object-Kind of SCM is Relation-like the carrier of SCM -defined 2 -valued Function-like total V30( the carrier of SCM,2) Element of K32(K33( the carrier of SCM,2))
K33( the carrier of SCM,2) is Relation-like set
K32(K33( the carrier of SCM,2)) is set
the ValuesF of SCM is non empty Relation-like 2 -defined Function-like total set
the Object-Kind of SCM (#) the ValuesF of SCM is Relation-like the carrier of SCM -defined Function-like total set
NAT is non empty epsilon-transitive epsilon-connected ordinal V43() countable denumerable set
K32(NAT) is set
9 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Segm 9 is countable Element of K32(NAT)
K32(SCM-Memory) is set
the InstructionsF of SCM is non empty Relation-like standard-ins V85() V86() V88() set
SCMPDS is non empty with_non-empty_values IC-Ins-separated strict strict V103(2) AMI-Struct over 2
the carrier of SCMPDS is set
the InstructionsF of SCMPDS is non empty Relation-like standard-ins V85() V86() V88() set
the_Values_of SCMPDS is Relation-like non-empty the carrier of SCMPDS -defined Function-like total set
the Object-Kind of SCMPDS is Relation-like the carrier of SCMPDS -defined 2 -valued Function-like total V30( the carrier of SCMPDS,2) Element of K32(K33( the carrier of SCMPDS,2))
K33( the carrier of SCMPDS,2) is Relation-like set
K32(K33( the carrier of SCMPDS,2)) is set
the ValuesF of SCMPDS is non empty Relation-like 2 -defined Function-like total set
the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS is Relation-like the carrier of SCMPDS -defined Function-like total set
COMPLEX is non empty V43() set
RAT is non empty V43() set
3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
0 is empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional ext-real non positive non negative epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V27() V28() V33() V34() V35() V36() Cardinal-yielding integer V83() Element of NAT
14 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
IC is Element of the carrier of SCMPDS
halt SCMPDS is V102(2, SCMPDS ) V113() Element of the InstructionsF of SCMPDS
halt the InstructionsF of SCMPDS is V87( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
4 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
5 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
6 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
K7(0,4,5,6,14) is set
SCM-Data-Loc is Element of K32(SCM-Memory)
P is Int-like Element of the carrier of SCMPDS
s is set
I is set
[s,I] is set
a is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
intpos a is Int-like Element of the carrier of SCMPDS
dl. a is Int-like Element of the carrier of SCM
[1,a] is set
{0,4,5,6,14} is countable Element of K32(NAT)
P is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize P is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
P +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
s is Element of the InstructionsF of SCMPDS
InsCode s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of InsCodes the InstructionsF of SCMPDS
InsCodes the InstructionsF of SCMPDS is non empty set
Exec (s,P) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . s is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . s) . P is set
Initialize (Exec (s,P)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Exec (s,P)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
DataPart (Exec (s,P)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
(Exec (s,P)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart P is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
P | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
product (the_Values_of SCMPDS) is non empty functional with_common_domain product-like set
K33((product (the_Values_of SCMPDS)),NAT) is Relation-like set
K32(K33((product (the_Values_of SCMPDS)),NAT)) is set
P is Int-like Element of the carrier of SCMPDS
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total Element of product (the_Values_of SCMPDS)
s . P is ext-real V27() V28() integer set
I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
a is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total Element of product (the_Values_of SCMPDS)
s . P is ext-real V27() V28() integer set
I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
a is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total Element of product (the_Values_of SCMPDS)
s . P is ext-real V27() V28() integer set
s is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
I is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
s . I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
a is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total Element of product (the_Values_of SCMPDS)
s . a is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
i is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
i . P is ext-real V27() V28() integer set
I is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
s . I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
I . P is ext-real V27() V28() integer set
a is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
a . P is ext-real V27() V28() integer set
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
s is Int-like Element of the carrier of SCMPDS
I is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() shiftable set
(s,I,P) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card P is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom P is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card P) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(s,I) >=0_goto ((card P) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((s,I) >=0_goto ((card P) + 2)) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card P) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card P) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card P) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((s,I) >=0_goto ((card P) + 2)) ';' P) ';' (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Load ((s,I) >=0_goto ((card P) + 2)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() halt-free V93( SCMPDS ) set
(Load ((s,I) >=0_goto ((card P) + 2))) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card ((Load ((s,I) >=0_goto ((card P) + 2))) ';' P) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom ((Load ((s,I) >=0_goto ((card P) + 2))) ';' P) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card ((Load ((s,I) >=0_goto ((card P) + 2))) ';' P)) + (- ((card P) + 1)) is ext-real V27() V28() integer set
s is Int-like Element of the carrier of SCMPDS
I is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(s,I,P) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card P is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom P is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card P) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(s,I) >=0_goto ((card P) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((s,I) >=0_goto ((card P) + 2)) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card P) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card P) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card P) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((s,I) >=0_goto ((card P) + 2)) ';' P) ';' (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (P,s,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (P,s,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (((P,s) >=0_goto ((card I) + 2)) ';' I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (((P,s) >=0_goto ((card I) + 2)) ';' I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card (((P,s) >=0_goto ((card I) + 2)) ';' I)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((card I) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop (P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(P,s,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (stop (P,s,I)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (stop (P,s,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (P,s,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (P,s,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card (P,s,I)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((card I) + 2) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
a is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card a is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom a is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card a) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s,a) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s) >=0_goto ((card a) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) >=0_goto ((card a) + 2)) ';' a is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card a) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card a) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card a) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) >=0_goto ((card a) + 2)) ';' a) ';' (goto (- ((card a) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
dom (P,s,a) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (P,s,a) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) . 0 is set
(P,s,I) . ((card I) + 1) is set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((P,s) >=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (((P,s) >=0_goto ((card I) + 2)) ';' I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (((P,s) >=0_goto ((card I) + 2)) ';' I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Initialize s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
s +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
P +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((P +* (stop (a,i,I))),(Initialize s),1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Initialize s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize s) . (IC ) is set
dom (Start-At (0,SCMPDS)) is non empty set
(Initialize s) . a is ext-real V27() V28() integer set
DataLoc (((Initialize s) . a),i) is Int-like Element of the carrier of SCMPDS
(Initialize s) . (DataLoc (((Initialize s) . a),i)) is ext-real V27() V28() integer set
(Initialize s) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((a,i) >=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),(Initialize s),(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),(Initialize s),0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),0)) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0)))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))))) . (Comput ((P +* (stop (a,i,I))),(Initialize s),0)) is set
Following ((P +* (stop (a,i,I))),(Initialize s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Initialize s)) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC (Initialize s)) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),(Initialize s))),(Initialize s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Initialize s))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Initialize s)))) . (Initialize s) is set
Exec (((a,i) >=0_goto ((card I) + 2)),(Initialize s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2))) . (Initialize s) is set
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),1)) . (IC ) is set
ICplusConst ((Initialize s),((card I) + 2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
0 + ((card I) + 2) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (a,i,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
dom (stop (a,i,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(P +* (stop (a,i,I))) . ((card I) + 2) is Element of the InstructionsF of SCMPDS
(stop (a,i,I)) . ((card I) + 2) is set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),1))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),(Initialize s),1))) is Element of the InstructionsF of SCMPDS
t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
1 + 0 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),(Initialize s),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) . (IC ) is set
t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,i,I))),(Initialize s),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) . (IC ) is set
t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Start-At (((card I) + 2),SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable (card I) + 2 -started set
K344((IC ),((card I) + 2)) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},((card I) + 2)) is non empty Relation-like non-empty non empty-yielding {(IC )} -defined INT -valued {((card I) + 2)} -valued Function-like total V30({(IC )},{((card I) + 2)}) V33() V34() V35() V36() Element of K32(K33({(IC )},{((card I) + 2)}))
{((card I) + 2)} is non empty V76() V77() set
K33({(IC )},{((card I) + 2)}) is Relation-like set
K32(K33({(IC )},{((card I) + 2)})) is set
s +* (Start-At (((card I) + 2),SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total (card I) + 2 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
DataLoc ((s . a),c) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),c)) is ext-real V27() V28() integer set
(a,c,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(a,c) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,c) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,c) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
IExec ((a,c,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
stop (a,c,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,c,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
P +* (stop (a,c,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((P +* (stop (a,c,I))),s,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
s +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IC s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s . (IC ) is set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((a,c) >=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
CurInstr ((P +* (stop (a,c,I))),s) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,c,I))) /. (IC s) is Element of the InstructionsF of SCMPDS
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,c,I))),s,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,c,I))),s,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,c,I))),s,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,0)) . (IC ) is set
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0)))),(Comput ((P +* (stop (a,c,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0))))) . (Comput ((P +* (stop (a,c,I))),s,0)) is set
Following ((P +* (stop (a,c,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((P +* (stop (a,c,I))),s)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),s)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),s))) . s is set
Exec (((a,c) >=0_goto ((card I) + 2)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,c) >=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,c) >=0_goto ((card I) + 2))) . s is set
Result ((P +* (stop (a,c,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,c,I))),s,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,1)) . (IC ) is set
ICplusConst (s,((card I) + 2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
0 + ((card I) + 2) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (a,c,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (a,c,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
dom (stop (a,c,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(P +* (stop (a,c,I))) . ((card I) + 2) is Element of the InstructionsF of SCMPDS
(stop (a,c,I)) . ((card I) + 2) is set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,1))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,1))) is Element of the InstructionsF of SCMPDS
v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,c,I))),s,v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,c,I))),s,v)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,v)) . (IC ) is set
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,c,I))),s,v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,c,I))),s,v)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,v)) . (IC ) is set
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
LifeSpan ((P +* (stop (a,c,I))),s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (Start-At (((card I) + 2),SCMPDS)) is non empty set
v is set
dom (IExec ((a,c,I),P,s)) is set
(IExec ((a,c,I),P,s)) . v is set
(Comput ((P +* (stop (a,c,I))),s,1)) . v is set
s . v is set
(s +* (Start-At (((card I) + 2),SCMPDS))) . v is set
(IExec ((a,c,I),P,s)) . v is set
(s +* (Start-At (((card I) + 2),SCMPDS))) . v is set
dom (s +* (Start-At (((card I) + 2),SCMPDS))) is non empty set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(a,i) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (IExec ((a,i,I),P,s)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(IExec ((a,i,I),P,s)) . (IC ) is set
Start-At (((card I) + 2),SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable (card I) + 2 -started set
K344((IC ),((card I) + 2)) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},((card I) + 2)) is non empty Relation-like non-empty non empty-yielding {(IC )} -defined INT -valued {((card I) + 2)} -valued Function-like total V30({(IC )},{((card I) + 2)}) V33() V34() V35() V36() Element of K32(K33({(IC )},{((card I) + 2)}))
{((card I) + 2)} is non empty V76() V77() set
K33({(IC )},{((card I) + 2)}) is Relation-like set
K32(K33({(IC )},{((card I) + 2)})) is set
s +* (Start-At (((card I) + 2),SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total (card I) + 2 -started set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is Int-like Element of the carrier of SCMPDS
s . i is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
DataLoc ((s . a),c) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),c)) is ext-real V27() V28() integer set
(a,c,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,c) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,c) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,c) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
IExec ((a,c,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec ((a,c,I),P,s)) . i is ext-real V27() V28() integer set
Start-At (((card I) + 2),SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable (card I) + 2 -started set
K344((IC ),((card I) + 2)) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},((card I) + 2)) is non empty Relation-like non-empty non empty-yielding {(IC )} -defined INT -valued {((card I) + 2)} -valued Function-like total V30({(IC )},{((card I) + 2)}) V33() V34() V35() V36() Element of K32(K33({(IC )},{((card I) + 2)}))
{((card I) + 2)} is non empty V76() V77() set
K33({(IC )},{((card I) + 2)}) is Relation-like set
K32(K33({(IC )},{((card I) + 2)})) is set
s +* (Start-At (((card I) + 2),SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total (card I) + 2 -started set
dom (Start-At (((card I) + 2),SCMPDS)) is non empty set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Shift (P,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
s is Int-like Element of the carrier of SCMPDS
I is ext-real V27() V28() integer set
(s,I,P) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card P is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom P is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card P) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(s,I) >=0_goto ((card P) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((s,I) >=0_goto ((card P) + 2)) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card P) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card P) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card P) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((s,I) >=0_goto ((card P) + 2)) ';' P) ';' (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Load (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() halt-free V93( SCMPDS ) set
(((s,I) >=0_goto ((card P) + 2)) ';' P) ';' (Load (goto (- ((card P) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Load ((s,I) >=0_goto ((card P) + 2)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() halt-free V93( SCMPDS ) set
(Load ((s,I) >=0_goto ((card P) + 2))) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((Load ((s,I) >=0_goto ((card P) + 2))) ';' P) ';' (Load (goto (- ((card P) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (Load ((s,I) >=0_goto ((card P) + 2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (Load ((s,I) >=0_goto ((card P) + 2))) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₅() is Int-like Element of the carrier of SCMPDS
F₂() . F₅() is ext-real V27() V28() integer set
F₆() is ext-real V27() V28() integer set
DataLoc ((F₂() . F₅()),F₆()) is Int-like Element of the carrier of SCMPDS
F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
(F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card F₄() is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom F₄() is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card F₄()) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(F₅(),F₆()) >=0_goto ((card F₄()) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) ';' F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card F₄()) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card F₄()) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card F₄()) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) ';' F₄()) ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
F₃() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
stop (F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(F₅(),F₆(),F₄()) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
F₄() ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
X is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
X + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Initialize b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
b +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
dom (stop (F₅(),F₆(),F₄())) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
F₄() ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) ';' (F₄() ';' (goto (- ((card F₄()) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
b +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
LifeSpan ((b +* (stop F₄())),b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((b +* (stop F₄())),b))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC b is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (IC ) is set
(LifeSpan ((b +* (stop F₄())),b)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (F₅(),F₆(),F₄()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
Shift (F₄(),1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0)) . (IC ) is set
(b +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0)))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0))))) . (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,0)) is set
Following ((b +* (stop (F₅(),F₆(),F₄()))),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),b) is Element of the InstructionsF of SCMPDS
(b +* (stop (F₅(),F₆(),F₄()))) /. (IC b) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),b)),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),b)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),b))) . b is set
Exec (((F₅(),F₆()) >=0_goto ((card F₄()) + 2)),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((F₅(),F₆()) >=0_goto ((card F₄()) + 2))) . b is set
m1 is Int-like Element of the carrier of SCMPDS
b . m1 is ext-real V27() V28() integer set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)) . m1 is ext-real V27() V28() integer set
DataPart b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
b | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
(b +* (stop F₄())) +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (F₄(),b,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((b +* (stop F₄())),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (F₄(),b,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (F₄(),b,b)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)) . (IC ) is set
succ (IC b) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((b +* (stop F₄())),b)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((b +* (stop F₄())),b)))) . (IC ) is set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) . (IC ) is set
(b +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))) is Element of the InstructionsF of SCMPDS
(b +* (stop (F₅(),F₆(),F₄()))) . (IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))) is Element of the InstructionsF of SCMPDS
(b +* (stop (F₅(),F₆(),F₄()))) . ((card F₄()) + 1) is Element of the InstructionsF of SCMPDS
(F₅(),F₆(),F₄()) . ((card F₄()) + 1) is set
Following ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))))) . (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) is set
Exec ((goto (- ((card F₄()) + 1))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card F₄()) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card F₄()) + 1)))) . (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) is set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))) . (IC ) is set
0 - ((card F₄()) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))),(0 - ((card F₄()) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
Comput ((b +* (stop F₄())),b,(LifeSpan ((b +* (stop F₄())),b))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((b +* (stop F₄())),b,(LifeSpan ((b +* (stop F₄())),b)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((b +* (stop F₄())),b,(LifeSpan ((b +* (stop F₄())),b)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((b +* (stop F₄())),b)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((b +* (stop F₄())),b)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Result ((b +* (stop F₄())),b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Result ((b +* (stop F₄())),b)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (IExec (F₄(),b,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(IExec (F₄(),b,b)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
InsCode (goto (- ((card F₄()) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of InsCodes the InstructionsF of SCMPDS
InsCodes the InstructionsF of SCMPDS is non empty set
Initialize (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
F₁((Initialize (IExec (F₄(),b,b)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
F₁((Initialize (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((b +* (stop F₄())),b)))) . F₅() is ext-real V27() V28() integer set
(Comput ((b +* (stop F₄())),b,(LifeSpan ((b +* (stop F₄())),b)))) . F₅() is ext-real V27() V28() integer set
(Result ((b +* (stop F₄())),b)) . F₅() is ext-real V27() V28() integer set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))) . F₅() is ext-real V27() V28() integer set
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((b +* (stop F₄())),b)) + 1))) . F₅() is ext-real V27() V28() integer set
m1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
s2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
s2 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
P2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((b +* (stop F₄())),b,P2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop F₄())),b,P2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop F₄())),b,P2)) . (IC ) is set
(IC (Comput ((b +* (stop F₄())),b,P2))) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),P2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),P2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,1)),P2)) . (IC ) is set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
m2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
m2 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
dom (stop F₄()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (stop F₄()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(card F₄()) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (stop (F₅(),F₆(),F₄())) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
m1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1) + s2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(b +* (stop (F₅(),F₆(),F₄()))) +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
P2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput (((b +* (stop (F₅(),F₆(),F₄()))) +* (stop (F₅(),F₆(),F₄()))),(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((b +* (stop F₄())),b)) + 1) + 1))),P2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((b +* (stop (F₅(),F₆(),F₄()))),b,m1)) . (IC ) is set
m1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(b +* (stop (F₅(),F₆(),F₄()))) +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
F₁(F₂()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₅() is Int-like Element of the carrier of SCMPDS
F₂() . F₅() is ext-real V27() V28() integer set
F₆() is ext-real V27() V28() integer set
DataLoc ((F₂() . F₅()),F₆()) is Int-like Element of the carrier of SCMPDS
F₂() . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
(F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card F₄() is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom F₄() is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card F₄()) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(F₅(),F₆()) >=0_goto ((card F₄()) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) ';' F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card F₄()) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card F₄()) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card F₄()) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) ';' F₄()) ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
F₃() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec ((F₅(),F₆(),F₄()),F₃(),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec (F₄(),F₃(),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (F₄(),F₃(),F₂())) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (F₄(),F₃(),F₂())) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IExec ((F₅(),F₆(),F₄()),F₃(),(Initialize (IExec (F₄(),F₃(),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₂() +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
stop (F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(F₅(),F₆(),F₄()) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
F₃() +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
stop F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
F₄() ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
F₃() +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
LifeSpan ((F₃() +* (stop F₄())),F₂()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(F₃() +* (stop F₄())) +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
(Initialize (IExec (F₄(),F₃(),F₂()))) . F₅() is ext-real V27() V28() integer set
DataLoc (((Initialize (IExec (F₄(),F₃(),F₂()))) . F₅()),F₆()) is Int-like Element of the carrier of SCMPDS
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Q . F₅() is ext-real V27() V28() integer set
Q . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
It is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (F₄(),It,Q) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (F₄(),It,Q)) . F₅() is ext-real V27() V28() integer set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (F₄(),It,Q)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (F₄(),It,Q)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
F₁((Initialize (IExec (F₄(),It,Q)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Q . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
(IExec (F₄(),F₃(),F₂())) . F₅() is ext-real V27() V28() integer set
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Q . (DataLoc (((Initialize (IExec (F₄(),F₃(),F₂()))) . F₅()),F₆())) is ext-real V27() V28() integer set
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Q . F₅() is ext-real V27() V28() integer set
Q . (DataLoc (((Initialize (IExec (F₄(),F₃(),F₂()))) . F₅()),F₆())) is ext-real V27() V28() integer set
It is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (F₄(),It,Q) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (F₄(),It,Q)) . F₅() is ext-real V27() V28() integer set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (F₄(),It,Q)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (F₄(),It,Q)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
F₁((Initialize (IExec (F₄(),It,Q)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Initialize (IExec (F₄(),F₃(),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Initialize (IExec (F₄(),F₃(),F₂()))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
F₄() ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) ';' (F₄() ';' (goto (- ((card F₄()) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC F₂() is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
F₂() . (IC ) is set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))))) . (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)) is set
Following ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC F₂()) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂())),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂())) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()))) . F₂() is set
Exec (((F₅(),F₆()) >=0_goto ((card F₄()) + 2)),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((F₅(),F₆()) >=0_goto ((card F₄()) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((F₅(),F₆()) >=0_goto ((card F₄()) + 2))) . F₂() is set
EP is Int-like Element of the carrier of SCMPDS
F₂() . EP is ext-real V27() V28() integer set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) . EP is ext-real V27() V28() integer set
DataPart F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
F₂() | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
(LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (F₅(),F₆(),F₄()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Shift (F₄(),1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) . (IC ) is set
succ (IC F₂()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) . (IC ) is set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) . (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) . ((card F₄()) + 1) is Element of the InstructionsF of SCMPDS
(F₅(),F₆(),F₄()) . ((card F₄()) + 1) is set
Following ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))))) . (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) is set
Exec ((goto (- ((card F₄()) + 1))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card F₄()) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card F₄()) + 1)))) . (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) is set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) . (IC ) is set
0 - ((card F₄()) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))),(0 - ((card F₄()) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
IC (Initialize (IExec (F₄(),F₃(),F₂()))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (F₄(),F₃(),F₂()))) . (IC ) is set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2))) . (IC ) is set
Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
m2 is Int-like Element of the carrier of SCMPDS
dom (Start-At (0,SCMPDS)) is non empty set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) . m2 is ext-real V27() V28() integer set
(Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) . m2 is ext-real V27() V28() integer set
Result ((F₃() +* (stop F₄())),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(Result ((F₃() +* (stop F₄())),F₂())) . m2 is ext-real V27() V28() integer set
(IExec (F₄(),F₃(),F₂())) . m2 is ext-real V27() V28() integer set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) . m2 is ext-real V27() V28() integer set
(Initialize (IExec (F₄(),F₃(),F₂()))) . m2 is ext-real V27() V28() integer set
DataPart (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Initialize (IExec (F₄(),F₃(),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Initialize (IExec (F₄(),F₃(),F₂()))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2)))) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2)))) is Element of the InstructionsF of SCMPDS
m2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + m2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),(LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))))))) is Element of the InstructionsF of SCMPDS
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))))))) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))))))) is Element of the InstructionsF of SCMPDS
mI is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI))) is Element of the InstructionsF of SCMPDS
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI)) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI))) is Element of the InstructionsF of SCMPDS
Result ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
c is set
X is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
I ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
t2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t2 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
t1 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Initialize t1 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
t1 +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
X . t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t1 . a is ext-real V27() V28() integer set
t1 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
v is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t1 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
dom (stop (a,i,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((a,i) >=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
v is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,v,t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,v,t1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,v,t1)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
X . (Initialize (IExec (I,v,t1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
v +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((v +* (stop (a,i,I))),t1,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((v +* (stop (a,i,I))),t1,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((v +* (stop (a,i,I))),t1,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((v +* (stop (a,i,I))),t1,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,0)) . (IC ) is set
(v +* (stop (a,i,I))) /. (IC (Comput ((v +* (stop (a,i,I))),t1,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,0)))),(Comput ((v +* (stop (a,i,I))),t1,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,0))))) . (Comput ((v +* (stop (a,i,I))),t1,0)) is set
Following ((v +* (stop (a,i,I))),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((v +* (stop (a,i,I))),t1) is Element of the InstructionsF of SCMPDS
IC t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t1 . (IC ) is set
(v +* (stop (a,i,I))) /. (IC t1) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((v +* (stop (a,i,I))),t1)),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((v +* (stop (a,i,I))),t1)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((v +* (stop (a,i,I))),t1))) . t1 is set
Exec (((a,i) >=0_goto ((card I) + 2)),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2))) . t1 is set
m1 is Int-like Element of the carrier of SCMPDS
t1 . m1 is ext-real V27() V28() integer set
(Comput ((v +* (stop (a,i,I))),t1,1)) . m1 is ext-real V27() V28() integer set
DataPart t1 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
t1 | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((v +* (stop (a,i,I))),t1,1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((v +* (stop (a,i,I))),t1,1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
Shift (I,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
LifeSpan ((v +* (stop I)),t1) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(LifeSpan ((v +* (stop I)),t1)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
((LifeSpan ((v +* (stop I)),t1)) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(v +* (stop I)) +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IC (Comput ((v +* (stop (a,i,I))),t1,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,1)) . (IC ) is set
succ (IC t1) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1)))) . (IC ) is set
IC (Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) . (IC ) is set
(v +* (stop (a,i,I))) /. (IC (Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))) is Element of the InstructionsF of SCMPDS
(v +* (stop (a,i,I))) . (IC (Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))) is Element of the InstructionsF of SCMPDS
(v +* (stop (a,i,I))) . ((card I) + 1) is Element of the InstructionsF of SCMPDS
(a,i,I) . ((card I) + 1) is set
Comput ((v +* (stop I)),t1,(LifeSpan ((v +* (stop I)),t1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((v +* (stop I)),t1,(LifeSpan ((v +* (stop I)),t1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((v +* (stop I)),t1,(LifeSpan ((v +* (stop I)),t1)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
Result ((v +* (stop I)),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Result ((v +* (stop I)),t1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Result ((v +* (stop I)),t1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (IExec (I,v,t1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(IExec (I,v,t1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
Following ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))))) . (Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) is set
Exec ((goto (- ((card I) + 1))),(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card I) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card I) + 1)))) . (Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) is set
IC (Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) . (IC ) is set
0 - ((card I) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))),(0 - ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
s7 is Int-like Element of the carrier of SCMPDS
(Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1)))) . s7 is ext-real V27() V28() integer set
(Comput ((v +* (stop I)),t1,(LifeSpan ((v +* (stop I)),t1)))) . s7 is ext-real V27() V28() integer set
(Result ((v +* (stop I)),t1)) . s7 is ext-real V27() V28() integer set
(IExec (I,v,t1)) . s7 is ext-real V27() V28() integer set
t1 . s7 is ext-real V27() V28() integer set
s . s7 is ext-real V27() V28() integer set
(Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) . s7 is ext-real V27() V28() integer set
InsCode (goto (- ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of InsCodes the InstructionsF of SCMPDS
InsCodes the InstructionsF of SCMPDS is non empty set
Initialize (Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
X . (Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),(LifeSpan ((v +* (stop I)),t1)))) . a is ext-real V27() V28() integer set
(Comput ((v +* (stop I)),t1,(LifeSpan ((v +* (stop I)),t1)))) . a is ext-real V27() V28() integer set
(Result ((v +* (stop I)),t1)) . a is ext-real V27() V28() integer set
(Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))) . a is ext-real V27() V28() integer set
(Comput ((v +* (stop (a,i,I))),t1,((LifeSpan ((v +* (stop I)),t1)) + 1))) . a is ext-real V27() V28() integer set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
P7 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
s6 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((v +* (stop I)),t1,s6) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop I)),t1,s6)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop I)),t1,s6)) . (IC ) is set
(IC (Comput ((v +* (stop I)),t1,s6))) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),s6) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),s6)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,1)),s6)) . (IC ) is set
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
P6 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P6 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
dom (stop I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (stop I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(card I) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (stop (a,i,I)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1) + P7 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((v +* (stop (a,i,I))),t1,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(v +* (stop (a,i,I))) +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s6 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput (((v +* (stop (a,i,I))) +* (stop (a,i,I))),(Comput ((v +* (stop (a,i,I))),t1,(((LifeSpan ((v +* (stop I)),t1)) + 1) + 1))),s6) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((v +* (stop (a,i,I))),t1,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((v +* (stop (a,i,I))),t1,s7)) . (IC ) is set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(v +* (stop (a,i,I))) +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t1 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
t1 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
X . t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t1 . a is ext-real V27() V28() integer set
v is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
X . s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t1 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
X . t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t1 . a is ext-real V27() V28() integer set
v is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t1 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
t1 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
X . t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t1 . a is ext-real V27() V28() integer set
v is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t1 is Int-like Element of the carrier of SCMPDS
s . t1 is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
c is set
X is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
X . b is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . a is ext-real V27() V28() integer set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,f,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,f,b)) . a is ext-real V27() V28() integer set
X . b is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (I,f,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,f,b)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
X . (Initialize (IExec (I,f,b))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t2 is Int-like Element of the carrier of SCMPDS
(Initialize (IExec (I,f,b))) . t2 is ext-real V27() V28() integer set
s . t2 is ext-real V27() V28() integer set
(IExec (I,f,b)) . t2 is ext-real V27() V28() integer set
b . t2 is ext-real V27() V28() integer set
b is Int-like Element of the carrier of SCMPDS
s . b is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
c is set
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
I ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
It is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
It + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
t2 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Initialize t2 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
t2 +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
t2 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
- (t2 . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
t2 . a is ext-real V27() V28() integer set
t1 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t1 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,t1,(Initialize t2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,t1,(Initialize t2))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
dom (stop (a,i,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
dom (Start-At (0,SCMPDS)) is non empty set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((a,i) >=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
t1 +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t1 +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0)) . (IC ) is set
(t1 +* (stop (a,i,I))) /. (IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0)))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0))))) . (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),0)) is set
Following ((t1 +* (stop (a,i,I))),(Initialize t2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((t1 +* (stop (a,i,I))),(Initialize t2)) is Element of the InstructionsF of SCMPDS
IC (Initialize t2) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize t2) . (IC ) is set
(t1 +* (stop (a,i,I))) /. (IC (Initialize t2)) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((t1 +* (stop (a,i,I))),(Initialize t2))),(Initialize t2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((t1 +* (stop (a,i,I))),(Initialize t2))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((t1 +* (stop (a,i,I))),(Initialize t2)))) . (Initialize t2) is set
Exec (((a,i) >=0_goto ((card I) + 2)),(Initialize t2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2))) . (Initialize t2) is set
PI is Int-like Element of the carrier of SCMPDS
(Initialize t2) . PI is ext-real V27() V28() integer set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)) . PI is ext-real V27() V28() integer set
DataPart (Initialize t2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
(Initialize t2) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
Shift (I,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
LifeSpan ((t1 +* (stop I)),(Initialize t2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
Result ((t1 +* (stop I)),(Initialize t2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(t1 +* (stop I)) +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Initialize (Initialize t2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Initialize t2) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
(Initialize t2) . a is ext-real V27() V28() integer set
DataLoc (((Initialize t2) . a),i) is Int-like Element of the carrier of SCMPDS
(Initialize t2) . (DataLoc (((Initialize t2) . a),i)) is ext-real V27() V28() integer set
(Initialize t2) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)) . (IC ) is set
succ (IC (Initialize t2)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . (IC ) is set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))) . (IC ) is set
(t1 +* (stop (a,i,I))) /. (IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))) is Element of the InstructionsF of SCMPDS
(t1 +* (stop (a,i,I))) . (IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))) is Element of the InstructionsF of SCMPDS
(t1 +* (stop (a,i,I))) . ((card I) + 1) is Element of the InstructionsF of SCMPDS
(a,i,I) . ((card I) + 1) is set
Comput ((t1 +* (stop I)),(Initialize t2),(LifeSpan ((t1 +* (stop I)),(Initialize t2)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((t1 +* (stop I)),(Initialize t2),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((t1 +* (stop I)),(Initialize t2),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
(Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . a is ext-real V27() V28() integer set
(Comput ((t1 +* (stop I)),(Initialize t2),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . a is ext-real V27() V28() integer set
(Result ((t1 +* (stop I)),(Initialize t2))) . a is ext-real V27() V28() integer set
Following ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))))) . (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))) is set
Exec ((goto (- ((card I) + 1))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card I) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card I) + 1)))) . (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))) is set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) . (IC ) is set
0 - ((card I) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))),(0 - ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
m3 is Int-like Element of the carrier of SCMPDS
(Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . m3 is ext-real V27() V28() integer set
(Comput ((t1 +* (stop I)),(Initialize t2),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . m3 is ext-real V27() V28() integer set
(Result ((t1 +* (stop I)),(Initialize t2))) . m3 is ext-real V27() V28() integer set
(IExec (I,t1,(Initialize t2))) . m3 is ext-real V27() V28() integer set
t2 . m3 is ext-real V27() V28() integer set
s . m3 is ext-real V27() V28() integer set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) . m3 is ext-real V27() V28() integer set
(Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(Comput ((t1 +* (stop I)),(Initialize t2),(LifeSpan ((t1 +* (stop I)),(Initialize t2))))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(Result ((t1 +* (stop I)),(Initialize t2))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
- ((Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1))) . a is ext-real V27() V28() integer set
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1))) . a is ext-real V27() V28() integer set
m3 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
s7 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((t1 +* (stop I)),(Initialize t2),P7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop I)),(Initialize t2),P7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop I)),(Initialize t2),P7)) . (IC ) is set
(IC (Comput ((t1 +* (stop I)),(Initialize t2),P7))) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),P7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),P7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),1)),P7)) . (IC ) is set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
s6 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s6 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
dom (stop I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (stop I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(card I) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (stop (a,i,I)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
m3 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1) + s7 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(t1 +* (stop (a,i,I))) +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput (((t1 +* (stop (a,i,I))) +* (stop (a,i,I))),(Initialize (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),(((LifeSpan ((t1 +* (stop I)),(Initialize t2))) + 1) + 1)))),P7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((t1 +* (stop (a,i,I))),(Initialize t2),m3)) . (IC ) is set
m3 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(t1 +* (stop (a,i,I))) +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
t2 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
t2 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
- (t2 . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
t2 . a is ext-real V27() V28() integer set
t1 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
It is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
It . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
- (It . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
It . a is ext-real V27() V28() integer set
t2 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
- 0 is empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional ext-real non positive non negative epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V27() V28() V33() V34() V35() V36() Cardinal-yielding integer V83() set
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
- (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
It is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t2 is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
t2 . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
- (t2 . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
t2 . a is ext-real V27() V28() integer set
t1 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
v is Int-like Element of the carrier of SCMPDS
s . v is ext-real V27() V28() integer set
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) >=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) >=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) >=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
c is set
Initialize s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
s +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
P +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
(Initialize (IExec (I,P,s))) . a is ext-real V27() V28() integer set
DataLoc (((Initialize (IExec (I,P,s))) . a),i) is Int-like Element of the carrier of SCMPDS
stop I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
I ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
P +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
LifeSpan ((P +* (stop I)),s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(LifeSpan ((P +* (stop I)),s)) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
EP is Int-like Element of the carrier of SCMPDS
s . EP is ext-real V27() V28() integer set
(P +* (stop I)) +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
(IExec (I,P,s)) . a is ext-real V27() V28() integer set
EP is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
EP . a is ext-real V27() V28() integer set
EP . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
m1 is Int-like Element of the carrier of SCMPDS
EP . m1 is ext-real V27() V28() integer set
(Initialize (IExec (I,P,s))) . m1 is ext-real V27() V28() integer set
(IExec (I,P,s)) . m1 is ext-real V27() V28() integer set
s . m1 is ext-real V27() V28() integer set
PI is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,PI,EP) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,PI,EP)) . a is ext-real V27() V28() integer set
(IExec (I,PI,EP)) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
m1 is Int-like Element of the carrier of SCMPDS
(IExec (I,PI,EP)) . m1 is ext-real V27() V28() integer set
EP . m1 is ext-real V27() V28() integer set
Initialize (Initialize (IExec (I,P,s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Initialize (IExec (I,P,s))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
LifeSpan ((P +* (stop (a,i,I))),s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,i,I))),s,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s . (IC ) is set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((a,i) >=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),s,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),s,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,0)) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0)))),(Comput ((P +* (stop (a,i,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0))))) . (Comput ((P +* (stop (a,i,I))),s,0)) is set
Following ((P +* (stop (a,i,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),s) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC s) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),s)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),s)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),s))) . s is set
Exec (((a,i) >=0_goto ((card I) + 2)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) >=0_goto ((card I) + 2))) . s is set
IC (Comput ((P +* (stop (a,i,I))),s,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,1)) . (IC ) is set
succ (IC s) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
s5 is Int-like Element of the carrier of SCMPDS
s . s5 is ext-real V27() V28() integer set
(Comput ((P +* (stop (a,i,I))),s,1)) . s5 is ext-real V27() V28() integer set
DataPart s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
s | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((P +* (stop (a,i,I))),s,1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop (a,i,I))),s,1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
(LifeSpan ((P +* (stop I)),s)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
((LifeSpan ((P +* (stop I)),s)) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Shift (I,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
IC (Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) . (IC ) is set
IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) . (IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) . ((card I) + 1) is Element of the InstructionsF of SCMPDS
(a,i,I) . ((card I) + 1) is set
Following ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))))) . (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) is set
Exec ((goto (- ((card I) + 1))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card I) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card I) + 1)))) . (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) is set
IC (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) . (IC ) is set
0 - ((card I) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))),(0 - ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
IC (Initialize (IExec (I,P,s))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (I,P,s))) . (IC ) is set
Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2))) . (IC ) is set
Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
s7 is Int-like Element of the carrier of SCMPDS
dom (Start-At (0,SCMPDS)) is non empty set
(Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) . s7 is ext-real V27() V28() integer set
(Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s)))) . s7 is ext-real V27() V28() integer set
Result ((P +* (stop I)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(Result ((P +* (stop I)),s)) . s7 is ext-real V27() V28() integer set
(IExec (I,P,s)) . s7 is ext-real V27() V28() integer set
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) . s7 is ext-real V27() V28() integer set
(Initialize (IExec (I,P,s))) . s7 is ext-real V27() V28() integer set
DataPart (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Initialize (IExec (I,P,s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Initialize (IExec (I,P,s))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2)))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2)))) is Element of the InstructionsF of SCMPDS
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
((LifeSpan ((P +* (stop I)),s)) + 2) + s7 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),(LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))))))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))))))) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))))))) is Element of the InstructionsF of SCMPDS
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,i,I))),s,(LifeSpan ((P +* (stop (a,i,I))),s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),P7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),P7))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),P7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),P7)) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),P7))) is Element of the InstructionsF of SCMPDS
Result ((P +* (stop (a,i,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
s is Int-like Element of the carrier of SCMPDS
I is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() shiftable set
(s,I,P) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card P is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom P is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card P) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(s,I) <=0_goto ((card P) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((s,I) <=0_goto ((card P) + 2)) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card P) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card P) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card P) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((s,I) <=0_goto ((card P) + 2)) ';' P) ';' (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Load ((s,I) <=0_goto ((card P) + 2)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() halt-free V93( SCMPDS ) set
(Load ((s,I) <=0_goto ((card P) + 2))) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
c is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() shiftable set
card c is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom c is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card c) + (- ((card P) + 1)) is ext-real V27() V28() integer set
s is Int-like Element of the carrier of SCMPDS
I is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(s,I,P) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card P is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom P is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card P) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(s,I) <=0_goto ((card P) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((s,I) <=0_goto ((card P) + 2)) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card P) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card P) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card P) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((s,I) <=0_goto ((card P) + 2)) ';' P) ';' (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (P,s,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (P,s,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (((P,s) <=0_goto ((card I) + 2)) ';' I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (((P,s) <=0_goto ((card I) + 2)) ';' I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card (((P,s) <=0_goto ((card I) + 2)) ';' I)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((card I) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop (P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(P,s,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (stop (P,s,I)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (stop (P,s,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (P,s,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (P,s,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card (P,s,I)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((card I) + 2) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
a is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card a is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom a is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card a) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s,a) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s) <=0_goto ((card a) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) <=0_goto ((card a) + 2)) ';' a is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card a) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card a) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card a) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) <=0_goto ((card a) + 2)) ';' a) ';' (goto (- ((card a) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
dom (P,s,a) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (P,s,a) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P is Int-like Element of the carrier of SCMPDS
s is ext-real V27() V28() integer set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(P,s) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((P,s) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((P,s) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(P,s,I) . 0 is set
(P,s,I) . ((card I) + 1) is set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((P,s) <=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (((P,s) <=0_goto ((card I) + 2)) ';' I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (((P,s) <=0_goto ((card I) + 2)) ';' I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Initialize s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
s +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
P +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((P +* (stop (a,i,I))),(Initialize s),1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Initialize s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize s) . (IC ) is set
dom (Start-At (0,SCMPDS)) is non empty set
(Initialize s) . a is ext-real V27() V28() integer set
DataLoc (((Initialize s) . a),i) is Int-like Element of the carrier of SCMPDS
(Initialize s) . (DataLoc (((Initialize s) . a),i)) is ext-real V27() V28() integer set
(Initialize s) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((a,i) <=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),(Initialize s),(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),(Initialize s),0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),0)) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0)))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),0))))) . (Comput ((P +* (stop (a,i,I))),(Initialize s),0)) is set
Following ((P +* (stop (a,i,I))),(Initialize s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Initialize s)) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC (Initialize s)) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),(Initialize s))),(Initialize s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Initialize s))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Initialize s)))) . (Initialize s) is set
Exec (((a,i) <=0_goto ((card I) + 2)),(Initialize s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) <=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) <=0_goto ((card I) + 2))) . (Initialize s) is set
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),1)) . (IC ) is set
ICplusConst ((Initialize s),((card I) + 2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
0 + ((card I) + 2) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (a,i,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
dom (stop (a,i,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(P +* (stop (a,i,I))) . ((card I) + 2) is Element of the InstructionsF of SCMPDS
(stop (a,i,I)) . ((card I) + 2) is set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize s),1))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),(Initialize s),1))) is Element of the InstructionsF of SCMPDS
t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
1 + 0 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),(Initialize s),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) . (IC ) is set
t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,i,I))),(Initialize s),t1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize s),t1)) . (IC ) is set
t1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Start-At (((card I) + 2),SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable (card I) + 2 -started set
K344((IC ),((card I) + 2)) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},((card I) + 2)) is non empty Relation-like non-empty non empty-yielding {(IC )} -defined INT -valued {((card I) + 2)} -valued Function-like total V30({(IC )},{((card I) + 2)}) V33() V34() V35() V36() Element of K32(K33({(IC )},{((card I) + 2)}))
{((card I) + 2)} is non empty V76() V77() set
K33({(IC )},{((card I) + 2)}) is Relation-like set
K32(K33({(IC )},{((card I) + 2)})) is set
s +* (Start-At (((card I) + 2),SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total (card I) + 2 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
DataLoc ((s . a),c) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),c)) is ext-real V27() V28() integer set
(a,c,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(a,c) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,c) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,c) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
IExec ((a,c,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
stop (a,c,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,c,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
P +* (stop (a,c,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((P +* (stop (a,c,I))),s,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
s +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IC s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s . (IC ) is set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((a,c) <=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,c,I))),s,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,c,I))),s,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,c,I))),s,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,0)) . (IC ) is set
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0)))),(Comput ((P +* (stop (a,c,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,0))))) . (Comput ((P +* (stop (a,c,I))),s,0)) is set
Following ((P +* (stop (a,c,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),s) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,c,I))) /. (IC s) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,c,I))),s)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),s)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,c,I))),s))) . s is set
Exec (((a,c) <=0_goto ((card I) + 2)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,c) <=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,c) <=0_goto ((card I) + 2))) . s is set
Result ((P +* (stop (a,c,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,c,I))),s,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,1)) . (IC ) is set
ICplusConst (s,((card I) + 2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
0 + ((card I) + 2) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (a,c,I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (a,c,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
dom (stop (a,c,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(P +* (stop (a,c,I))) . ((card I) + 2) is Element of the InstructionsF of SCMPDS
(stop (a,c,I)) . ((card I) + 2) is set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,1))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,1))) is Element of the InstructionsF of SCMPDS
v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,c,I))),s,v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,c,I))),s,v)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,v)) . (IC ) is set
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,c,I))),s,v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,c,I))),(Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,c,I))),s,v)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,c,I))),s,v)) . (IC ) is set
(P +* (stop (a,c,I))) /. (IC (Comput ((P +* (stop (a,c,I))),s,v))) is Element of the InstructionsF of SCMPDS
LifeSpan ((P +* (stop (a,c,I))),s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (Start-At (((card I) + 2),SCMPDS)) is non empty set
v is set
dom (IExec ((a,c,I),P,s)) is set
(IExec ((a,c,I),P,s)) . v is set
(Comput ((P +* (stop (a,c,I))),s,1)) . v is set
s . v is set
(s +* (Start-At (((card I) + 2),SCMPDS))) . v is set
(IExec ((a,c,I),P,s)) . v is set
(s +* (Start-At (((card I) + 2),SCMPDS))) . v is set
dom (s +* (Start-At (((card I) + 2),SCMPDS))) is non empty set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (IExec ((a,i,I),P,s)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(IExec ((a,i,I),P,s)) . (IC ) is set
Start-At (((card I) + 2),SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable (card I) + 2 -started set
K344((IC ),((card I) + 2)) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},((card I) + 2)) is non empty Relation-like non-empty non empty-yielding {(IC )} -defined INT -valued {((card I) + 2)} -valued Function-like total V30({(IC )},{((card I) + 2)}) V33() V34() V35() V36() Element of K32(K33({(IC )},{((card I) + 2)}))
{((card I) + 2)} is non empty V76() V77() set
K33({(IC )},{((card I) + 2)}) is Relation-like set
K32(K33({(IC )},{((card I) + 2)})) is set
s +* (Start-At (((card I) + 2),SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total (card I) + 2 -started set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is Int-like Element of the carrier of SCMPDS
s . i is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
DataLoc ((s . a),c) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),c)) is ext-real V27() V28() integer set
(a,c,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,c) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,c) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,c) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
IExec ((a,c,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec ((a,c,I),P,s)) . i is ext-real V27() V28() integer set
Start-At (((card I) + 2),SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable (card I) + 2 -started set
K344((IC ),((card I) + 2)) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},((card I) + 2)) is non empty Relation-like non-empty non empty-yielding {(IC )} -defined INT -valued {((card I) + 2)} -valued Function-like total V30({(IC )},{((card I) + 2)}) V33() V34() V35() V36() Element of K32(K33({(IC )},{((card I) + 2)}))
{((card I) + 2)} is non empty V76() V77() set
K33({(IC )},{((card I) + 2)}) is Relation-like set
K32(K33({(IC )},{((card I) + 2)})) is set
s +* (Start-At (((card I) + 2),SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total (card I) + 2 -started set
dom (Start-At (((card I) + 2),SCMPDS)) is non empty set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Shift (P,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
s is Int-like Element of the carrier of SCMPDS
I is ext-real V27() V28() integer set
(s,I,P) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card P is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom P is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card P) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(s,I) <=0_goto ((card P) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((s,I) <=0_goto ((card P) + 2)) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
(card P) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card P) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card P) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((s,I) <=0_goto ((card P) + 2)) ';' P) ';' (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Load (goto (- ((card P) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() halt-free V93( SCMPDS ) set
(((s,I) <=0_goto ((card P) + 2)) ';' P) ';' (Load (goto (- ((card P) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
Load ((s,I) <=0_goto ((card P) + 2)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() halt-free V93( SCMPDS ) set
(Load ((s,I) <=0_goto ((card P) + 2))) ';' P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
((Load ((s,I) <=0_goto ((card P) + 2))) ';' P) ';' (Load (goto (- ((card P) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
card (Load ((s,I) <=0_goto ((card P) + 2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom (Load ((s,I) <=0_goto ((card P) + 2))) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₅() is Int-like Element of the carrier of SCMPDS
F₂() . F₅() is ext-real V27() V28() integer set
F₆() is ext-real V27() V28() integer set
DataLoc ((F₂() . F₅()),F₆()) is Int-like Element of the carrier of SCMPDS
F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
(F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card F₄() is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom F₄() is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card F₄()) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(F₅(),F₆()) <=0_goto ((card F₄()) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) ';' F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card F₄()) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card F₄()) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card F₄()) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) ';' F₄()) ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
F₃() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
stop (F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(F₅(),F₆(),F₄()) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
F₄() ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
X is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
X + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
dom (stop (F₅(),F₆(),F₄())) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
F₄() ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) ';' (F₄() ';' (goto (- ((card F₄()) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
f +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
f +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
LifeSpan ((f +* (stop F₄())),b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((f +* (stop F₄())),b))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
b +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IC b is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (IC ) is set
(LifeSpan ((f +* (stop F₄())),b)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (F₅(),F₆(),F₄()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
Shift (F₄(),1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0)) . (IC ) is set
(f +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0)))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0))))) . (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,0)) is set
Following ((f +* (stop (F₅(),F₆(),F₄()))),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),b) is Element of the InstructionsF of SCMPDS
(f +* (stop (F₅(),F₆(),F₄()))) /. (IC b) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),b)),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),b)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),b))) . b is set
Exec (((F₅(),F₆()) <=0_goto ((card F₄()) + 2)),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((F₅(),F₆()) <=0_goto ((card F₄()) + 2))) . b is set
m2 is Int-like Element of the carrier of SCMPDS
b . m2 is ext-real V27() V28() integer set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)) . m2 is ext-real V27() V28() integer set
DataPart b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
b | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
(f +* (stop F₄())) +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (F₄(),f,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((f +* (stop F₄())),b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (F₄(),f,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (F₄(),f,b)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)) . (IC ) is set
succ (IC b) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((f +* (stop F₄())),b)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((f +* (stop F₄())),b)))) . (IC ) is set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) . (IC ) is set
(f +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))) is Element of the InstructionsF of SCMPDS
(f +* (stop (F₅(),F₆(),F₄()))) . (IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))) is Element of the InstructionsF of SCMPDS
(f +* (stop (F₅(),F₆(),F₄()))) . ((card F₄()) + 1) is Element of the InstructionsF of SCMPDS
(F₅(),F₆(),F₄()) . ((card F₄()) + 1) is set
Following ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))))) . (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) is set
Exec ((goto (- ((card F₄()) + 1))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card F₄()) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card F₄()) + 1)))) . (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) is set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))) . (IC ) is set
0 - ((card F₄()) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))),(0 - ((card F₄()) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
Comput ((f +* (stop F₄())),b,(LifeSpan ((f +* (stop F₄())),b))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((f +* (stop F₄())),b,(LifeSpan ((f +* (stop F₄())),b)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((f +* (stop F₄())),b,(LifeSpan ((f +* (stop F₄())),b)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((f +* (stop F₄())),b)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((f +* (stop F₄())),b)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Result ((f +* (stop F₄())),b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Result ((f +* (stop F₄())),b)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (IExec (F₄(),f,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(IExec (F₄(),f,b)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
InsCode (goto (- ((card F₄()) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of InsCodes the InstructionsF of SCMPDS
InsCodes the InstructionsF of SCMPDS is non empty set
Initialize (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
F₁((Initialize b)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
F₁((Initialize (IExec (F₄(),f,b)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
F₁((Initialize (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),(LifeSpan ((f +* (stop F₄())),b)))) . F₅() is ext-real V27() V28() integer set
(Comput ((f +* (stop F₄())),b,(LifeSpan ((f +* (stop F₄())),b)))) . F₅() is ext-real V27() V28() integer set
(Result ((f +* (stop F₄())),b)) . F₅() is ext-real V27() V28() integer set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))) . F₅() is ext-real V27() V28() integer set
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,((LifeSpan ((f +* (stop F₄())),b)) + 1))) . F₅() is ext-real V27() V28() integer set
m2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) . (IC ) is set
mI is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
mI + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
s5 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((f +* (stop F₄())),b,s5) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop F₄())),b,s5)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop F₄())),b,s5)) . (IC ) is set
(IC (Comput ((f +* (stop F₄())),b,s5))) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),s5) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),s5)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,1)),s5)) . (IC ) is set
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) . (IC ) is set
P5 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P5 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
dom (stop F₄()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (stop F₄()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(card F₄()) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (stop (F₅(),F₆(),F₄())) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) . (IC ) is set
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) . (IC ) is set
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) . (IC ) is set
m2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
mI is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1) + mI is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(f +* (stop (F₅(),F₆(),F₄()))) +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput (((f +* (stop (F₅(),F₆(),F₄()))) +* (stop (F₅(),F₆(),F₄()))),(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,(((LifeSpan ((f +* (stop F₄())),b)) + 1) + 1))),mI) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((f +* (stop (F₅(),F₆(),F₄()))),b,m2)) . (IC ) is set
m2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(f +* (stop (F₅(),F₆(),F₄()))) +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
F₁(F₂()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(b) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . F₅() is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₅() is Int-like Element of the carrier of SCMPDS
F₂() . F₅() is ext-real V27() V28() integer set
F₆() is ext-real V27() V28() integer set
DataLoc ((F₂() . F₅()),F₆()) is Int-like Element of the carrier of SCMPDS
F₂() . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
(F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card F₄() is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom F₄() is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card F₄()) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(F₅(),F₆()) <=0_goto ((card F₄()) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) ';' F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card F₄()) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card F₄()) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card F₄()) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) ';' F₄()) ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
F₃() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec ((F₅(),F₆(),F₄()),F₃(),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec (F₄(),F₃(),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (F₄(),F₃(),F₂())) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (F₄(),F₃(),F₂())) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
IExec ((F₅(),F₆(),F₄()),F₃(),(Initialize (IExec (F₄(),F₃(),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
stop (F₅(),F₆(),F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(F₅(),F₆(),F₄()) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
F₃() +* (stop (F₅(),F₆(),F₄())) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
stop F₄() is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
F₄() ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
F₃() +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
LifeSpan ((F₃() +* (stop F₄())),F₂()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₂() +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
(F₃() +* (stop F₄())) +* (stop F₄()) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
(Initialize (IExec (F₄(),F₃(),F₂()))) . F₅() is ext-real V27() V28() integer set
DataLoc (((Initialize (IExec (F₄(),F₃(),F₂()))) . F₅()),F₆()) is Int-like Element of the carrier of SCMPDS
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Q . F₅() is ext-real V27() V28() integer set
Q . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
It is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (F₄(),It,Q) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (F₄(),It,Q)) . F₅() is ext-real V27() V28() integer set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (F₄(),It,Q)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (F₄(),It,Q)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
F₁((Initialize (IExec (F₄(),It,Q)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Q . (DataLoc ((F₂() . F₅()),F₆())) is ext-real V27() V28() integer set
(IExec (F₄(),F₃(),F₂())) . F₅() is ext-real V27() V28() integer set
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Q . (DataLoc (((Initialize (IExec (F₄(),F₃(),F₂()))) . F₅()),F₆())) is ext-real V27() V28() integer set
Q is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Q . F₅() is ext-real V27() V28() integer set
Q . (DataLoc (((Initialize (IExec (F₄(),F₃(),F₂()))) . F₅()),F₆())) is ext-real V27() V28() integer set
It is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (F₄(),It,Q) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (F₄(),It,Q)) . F₅() is ext-real V27() V28() integer set
F₁(Q) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (F₄(),It,Q)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (F₄(),It,Q)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
F₁((Initialize (IExec (F₄(),It,Q)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Initialize (IExec (F₄(),F₃(),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Initialize (IExec (F₄(),F₃(),F₂()))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
F₄() ';' (goto (- ((card F₄()) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) ';' (F₄() ';' (goto (- ((card F₄()) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC F₂() is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
F₂() . (IC ) is set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0))))) . (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),0)) is set
Following ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC F₂()) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂())),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂())) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()))) . F₂() is set
Exec (((F₅(),F₆()) <=0_goto ((card F₄()) + 2)),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((F₅(),F₆()) <=0_goto ((card F₄()) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((F₅(),F₆()) <=0_goto ((card F₄()) + 2))) . F₂() is set
EP is Int-like Element of the carrier of SCMPDS
F₂() . EP is ext-real V27() V28() integer set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) . EP is ext-real V27() V28() integer set
DataPart F₂() is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
F₂() | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
(LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (F₅(),F₆(),F₄()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Shift (F₄(),1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)) . (IC ) is set
succ (IC F₂()) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) . (IC ) is set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) . (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) . ((card F₄()) + 1) is Element of the InstructionsF of SCMPDS
(F₅(),F₆(),F₄()) . ((card F₄()) + 1) is set
Following ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))))) . (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) is set
Exec ((goto (- ((card F₄()) + 1))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card F₄()) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card F₄()) + 1)))) . (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))) is set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) . (IC ) is set
0 - ((card F₄()) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1))),(0 - ((card F₄()) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
IC (Initialize (IExec (F₄(),F₃(),F₂()))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (F₄(),F₃(),F₂()))) . (IC ) is set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2))) . (IC ) is set
Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
m2 is Int-like Element of the carrier of SCMPDS
dom (Start-At (0,SCMPDS)) is non empty set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),1)),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) . m2 is ext-real V27() V28() integer set
(Comput ((F₃() +* (stop F₄())),F₂(),(LifeSpan ((F₃() +* (stop F₄())),F₂())))) . m2 is ext-real V27() V28() integer set
Result ((F₃() +* (stop F₄())),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(Result ((F₃() +* (stop F₄())),F₂())) . m2 is ext-real V27() V28() integer set
(IExec (F₄(),F₃(),F₂())) . m2 is ext-real V27() V28() integer set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) . m2 is ext-real V27() V28() integer set
(Initialize (IExec (F₄(),F₃(),F₂()))) . m2 is ext-real V27() V28() integer set
DataPart (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 1) + 1))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Initialize (IExec (F₄(),F₃(),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Initialize (IExec (F₄(),F₃(),F₂()))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2)))) is Element of the InstructionsF of SCMPDS
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2)))) is Element of the InstructionsF of SCMPDS
m2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + m2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),(LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))))))) is Element of the InstructionsF of SCMPDS
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))))))) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(((LifeSpan ((F₃() +* (stop F₄())),F₂())) + 2) + (LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))))))))) is Element of the InstructionsF of SCMPDS
mI is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂(),(LifeSpan ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI))) is Element of the InstructionsF of SCMPDS
IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI)) . (IC ) is set
(F₃() +* (stop (F₅(),F₆(),F₄()))) /. (IC (Comput ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂()))),mI))) is Element of the InstructionsF of SCMPDS
Result ((F₃() +* (stop (F₅(),F₆(),F₄()))),F₂()) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((F₃() +* (stop (F₅(),F₆(),F₄()))),(Initialize (IExec (F₄(),F₃(),F₂())))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
c is ext-real V27() V28() integer set
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
X is set
b is set
b is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
stop I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
I ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Initialize v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
v +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
b . v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (v . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
v . a is ext-real V27() V28() integer set
x is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
dom (stop (a,i,I)) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((a,i) <=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
x is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
x +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
x +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((x +* (stop (a,i,I))),v,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((x +* (stop (a,i,I))),v,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((x +* (stop (a,i,I))),v,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((x +* (stop (a,i,I))),v,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,0)) . (IC ) is set
(x +* (stop (a,i,I))) /. (IC (Comput ((x +* (stop (a,i,I))),v,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,0)))),(Comput ((x +* (stop (a,i,I))),v,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,0))))) . (Comput ((x +* (stop (a,i,I))),v,0)) is set
Following ((x +* (stop (a,i,I))),v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((x +* (stop (a,i,I))),v) is Element of the InstructionsF of SCMPDS
IC v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v . (IC ) is set
(x +* (stop (a,i,I))) /. (IC v) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((x +* (stop (a,i,I))),v)),v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((x +* (stop (a,i,I))),v)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((x +* (stop (a,i,I))),v))) . v is set
Exec (((a,i) <=0_goto ((card I) + 2)),v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) <=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) <=0_goto ((card I) + 2))) . v is set
m1 is Int-like Element of the carrier of SCMPDS
v . m1 is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),v,1)) . m1 is ext-real V27() V28() integer set
DataPart v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
v | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((x +* (stop (a,i,I))),v,1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((x +* (stop (a,i,I))),v,1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
Shift (I,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
IExec (I,x,v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((x +* (stop I)),v) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
LifeSpan ((x +* (stop I)),v) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(LifeSpan ((x +* (stop I)),v)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
((LifeSpan ((x +* (stop I)),v)) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(x +* (stop I)) +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IC (Comput ((x +* (stop (a,i,I))),v,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,1)) . (IC ) is set
succ (IC v) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) . (IC ) is set
IC (Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) . (IC ) is set
(x +* (stop (a,i,I))) /. (IC (Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))) is Element of the InstructionsF of SCMPDS
(x +* (stop (a,i,I))) . (IC (Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))) is Element of the InstructionsF of SCMPDS
(x +* (stop (a,i,I))) . ((card I) + 1) is Element of the InstructionsF of SCMPDS
(a,i,I) . ((card I) + 1) is set
Following ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))))) . (Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) is set
Exec ((goto (- ((card I) + 1))),(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card I) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card I) + 1)))) . (Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) is set
IC (Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) . (IC ) is set
0 - ((card I) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))),(0 - ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
Comput ((x +* (stop I)),v,(LifeSpan ((x +* (stop I)),v))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((x +* (stop I)),v,(LifeSpan ((x +* (stop I)),v)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((x +* (stop I)),v,(LifeSpan ((x +* (stop I)),v)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Result ((x +* (stop I)),v)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Result ((x +* (stop I)),v)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (IExec (I,x,v)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(IExec (I,x,v)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
s7 is Int-like Element of the carrier of SCMPDS
(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) . s7 is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) . s7 is ext-real V27() V28() integer set
(IExec (I,x,v)) . s7 is ext-real V27() V28() integer set
v . s7 is ext-real V27() V28() integer set
s . s7 is ext-real V27() V28() integer set
InsCode (goto (- ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of InsCodes the InstructionsF of SCMPDS
InsCodes the InstructionsF of SCMPDS is non empty set
Initialize (Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
Initialize (IExec (I,x,v)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,x,v)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
b . (Initialize v) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (Initialize (IExec (I,x,v))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (Initialize (Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(IExec (I,x,v)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
s7 is Int-like Element of the carrier of SCMPDS
(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) . s7 is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) . s7 is ext-real V27() V28() integer set
(IExec (I,x,v)) . s7 is ext-real V27() V28() integer set
c + ((Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),(LifeSpan ((x +* (stop I)),v)))) . a is ext-real V27() V28() integer set
(Comput ((x +* (stop I)),v,(LifeSpan ((x +* (stop I)),v)))) . a is ext-real V27() V28() integer set
(Result ((x +* (stop I)),v)) . a is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))) . a is ext-real V27() V28() integer set
(Comput ((x +* (stop (a,i,I))),v,((LifeSpan ((x +* (stop I)),v)) + 1))) . a is ext-real V27() V28() integer set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
P7 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
s6 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((x +* (stop I)),v,s6) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop I)),v,s6)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop I)),v,s6)) . (IC ) is set
(IC (Comput ((x +* (stop I)),v,s6))) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),s6) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),s6)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,1)),s6)) . (IC ) is set
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
P6 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P6 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
dom (stop I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
card (stop I) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(card I) + 3 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
card (stop (a,i,I)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
P7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
(((LifeSpan ((x +* (stop I)),v)) + 1) + 1) + P7 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((x +* (stop (a,i,I))),v,s7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(x +* (stop (a,i,I))) +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput (((x +* (stop (a,i,I))) +* (stop (a,i,I))),(Comput ((x +* (stop (a,i,I))),v,(((LifeSpan ((x +* (stop I)),v)) + 1) + 1))),P7) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((x +* (stop (a,i,I))),v,s7)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((x +* (stop (a,i,I))),v,s7)) . (IC ) is set
s7 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(x +* (stop (a,i,I))) +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (v . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
v . a is ext-real V27() V28() integer set
x is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
b . s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v is Int-like Element of the carrier of SCMPDS
s . v is ext-real V27() V28() integer set
v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (v . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
v . a is ext-real V27() V28() integer set
x is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . v is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
v . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (v . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
v . a is ext-real V27() V28() integer set
x is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
c + (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
X is set
b is set
b is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
Initialize s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
s +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
stop (a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
K302(SCMPDS) is non empty V5() Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like constant T-Sequence-like V43() countable V83() non halt-free V92( SCMPDS ) V93( SCMPDS ) paraclosed parahalting shiftable set
Load is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() 1 -element countable V83() set
(a,i,I) ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
P +* (stop (a,i,I)) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
Comput ((P +* (stop (a,i,I))),s,1) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC s is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s . (IC ) is set
I ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
((a,i) <=0_goto ((card I) + 2)) ';' (I ';' (goto (- ((card I) + 1)))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
0 + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,(0 + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),s,0) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Following ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),s,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,0)) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,0))) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0)))),(Comput ((P +* (stop (a,i,I))),s,0))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS) is functional with_common_domain product-like set
K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) is non empty functional set
the Execution of SCMPDS is non empty Relation-like the InstructionsF of SCMPDS -defined K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))) -valued Function-like total V30( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) Element of K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))))
K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))) is Relation-like set
K32(K33( the InstructionsF of SCMPDS,K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS))))) is set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0)))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,0))))) . (Comput ((P +* (stop (a,i,I))),s,0)) is set
Following ((P +* (stop (a,i,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),s) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC s) is Element of the InstructionsF of SCMPDS
Exec ((CurInstr ((P +* (stop (a,i,I))),s)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),s)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),s))) . s is set
Exec (((a,i) <=0_goto ((card I) + 2)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . ((a,i) <=0_goto ((card I) + 2)) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . ((a,i) <=0_goto ((card I) + 2))) . s is set
LifeSpan ((P +* (stop (a,i,I))),s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (I,P,s))) . a is ext-real V27() V28() integer set
DataLoc (((Initialize (IExec (I,P,s))) . a),i) is Int-like Element of the carrier of SCMPDS
PI is Int-like Element of the carrier of SCMPDS
s . PI is ext-real V27() V28() integer set
(IExec (I,P,s)) . a is ext-real V27() V28() integer set
DataLoc (((IExec (I,P,s)) . a),i) is Int-like Element of the carrier of SCMPDS
stop I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() V93( SCMPDS ) shiftable set
I ';' K302(SCMPDS) is Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() set
P +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
LifeSpan ((P +* (stop I)),s) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(LifeSpan ((P +* (stop I)),s)) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
mI is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
mI . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
c + (mI . (DataLoc (((Initialize (IExec (I,P,s))) . a),i))) is ext-real V27() V28() integer set
mI . a is ext-real V27() V28() integer set
P5 is Int-like Element of the carrier of SCMPDS
mI . P5 is ext-real V27() V28() integer set
(Initialize (IExec (I,P,s))) . P5 is ext-real V27() V28() integer set
(IExec (I,P,s)) . P5 is ext-real V27() V28() integer set
s . P5 is ext-real V27() V28() integer set
s5 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,s5,mI) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,s5,mI)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,s5,mI)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
(Initialize (IExec (I,s5,mI))) . a is ext-real V27() V28() integer set
(IExec (I,s5,mI)) . a is ext-real V27() V28() integer set
b . mI is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
b . (Initialize (IExec (I,s5,mI))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (I,s5,mI))) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
c + ((Initialize (IExec (I,s5,mI))) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i))) is ext-real V27() V28() integer set
P5 is Int-like Element of the carrier of SCMPDS
(Initialize (IExec (I,s5,mI))) . P5 is ext-real V27() V28() integer set
(IExec (I,s5,mI)) . P5 is ext-real V27() V28() integer set
(IExec (I,s5,mI)) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
P5 is Int-like Element of the carrier of SCMPDS
(IExec (I,s5,mI)) . P5 is ext-real V27() V28() integer set
mI . P5 is ext-real V27() V28() integer set
(Initialize (IExec (I,P,s))) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
c + ((Initialize (IExec (I,P,s))) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i))) is ext-real V27() V28() integer set
mI is Int-like Element of the carrier of SCMPDS
(Initialize (IExec (I,P,s))) . mI is ext-real V27() V28() integer set
(IExec (I,P,s)) . mI is ext-real V27() V28() integer set
(IExec (I,P,s)) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
mI is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
mI . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
c + (mI . (DataLoc (((Initialize (IExec (I,P,s))) . a),i))) is ext-real V27() V28() integer set
mI . a is ext-real V27() V28() integer set
b . mI is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
s5 is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,s5,mI) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,s5,mI)) . a is ext-real V27() V28() integer set
Initialize (IExec (I,s5,mI)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,s5,mI)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
b . (Initialize (IExec (I,s5,mI))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(IExec (I,s5,mI)) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
c + ((IExec (I,s5,mI)) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i))) is ext-real V27() V28() integer set
(Initialize (IExec (I,s5,mI))) . a is ext-real V27() V28() integer set
P5 is Int-like Element of the carrier of SCMPDS
(IExec (I,s5,mI)) . P5 is ext-real V27() V28() integer set
(Initialize (IExec (I,s5,mI))) . P5 is ext-real V27() V28() integer set
(Initialize (IExec (I,s5,mI))) . (DataLoc (((Initialize (IExec (I,P,s))) . a),i)) is ext-real V27() V28() integer set
P5 is Int-like Element of the carrier of SCMPDS
(IExec (I,s5,mI)) . P5 is ext-real V27() V28() integer set
mI . P5 is ext-real V27() V28() integer set
Initialize (Initialize (IExec (I,P,s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(Initialize (IExec (I,P,s))) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
mI is Int-like Element of the carrier of SCMPDS
s . mI is ext-real V27() V28() integer set
(Comput ((P +* (stop (a,i,I))),s,1)) . mI is ext-real V27() V28() integer set
DataPart s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
NonZero SCMPDS is Element of K32( the carrier of SCMPDS)
K32( the carrier of SCMPDS) is set
s | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((P +* (stop (a,i,I))),s,1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop (a,i,I))),s,1)) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(LifeSpan ((P +* (stop I)),s)) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((LifeSpan ((P +* (stop I)),s)) + 1) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
dom (a,i,I) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
Shift (I,1) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like V43() countable set
(P +* (stop I)) +* (stop I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IC (Comput ((P +* (stop (a,i,I))),s,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,1)) . (IC ) is set
succ (IC s) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() set
IC (Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) . (IC ) is set
IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) . (IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Element of the InstructionsF of SCMPDS
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) . ((card I) + 1) is Element of the InstructionsF of SCMPDS
(a,i,I) . ((card I) + 1) is set
Following ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Exec ((CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))))) . (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) is set
Exec ((goto (- ((card I) + 1))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
the Execution of SCMPDS . (goto (- ((card I) + 1))) is Relation-like Function-like Element of K133((product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)),(product ( the Object-Kind of SCMPDS (#) the ValuesF of SCMPDS)))
( the Execution of SCMPDS . (goto (- ((card I) + 1)))) . (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))) is set
IC (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) . (IC ) is set
0 - ((card I) + 1) is non empty ext-real non positive negative V27() V28() integer set
ICplusConst ((Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 1))),(0 - ((card I) + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
IC (Initialize (IExec (I,P,s))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (I,P,s))) . (IC ) is set
Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2))) . (IC ) is set
Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
DataPart (Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
nn is Int-like Element of the carrier of SCMPDS
dom (Start-At (0,SCMPDS)) is non empty set
(Comput ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,1)),(LifeSpan ((P +* (stop I)),s)))) . nn is ext-real V27() V28() integer set
(Comput ((P +* (stop I)),s,(LifeSpan ((P +* (stop I)),s)))) . nn is ext-real V27() V28() integer set
Result ((P +* (stop I)),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(Result ((P +* (stop I)),s)) . nn is ext-real V27() V28() integer set
(IExec (I,P,s)) . nn is ext-real V27() V28() integer set
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) . nn is ext-real V27() V28() integer set
(Initialize (IExec (I,P,s))) . nn is ext-real V27() V28() integer set
DataPart (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 1) + 1))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
DataPart (Initialize (IExec (I,P,s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible data-only set
(Initialize (IExec (I,P,s))) | (NonZero SCMPDS) is Relation-like the carrier of SCMPDS -defined NonZero SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2)))) is Element of the InstructionsF of SCMPDS
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,((LifeSpan ((P +* (stop I)),s)) + 2)))) is Element of the InstructionsF of SCMPDS
nn is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer set
((LifeSpan ((P +* (stop I)),s)) + 2) + nn is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))) is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),(LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))))))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))))))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))))))) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),s,(((LifeSpan ((P +* (stop I)),s)) + 2) + (LifeSpan ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))))))))) is Element of the InstructionsF of SCMPDS
nn is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Comput ((P +* (stop (a,i,I))),s,(LifeSpan ((P +* (stop (a,i,I))),s))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),nn) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
CurInstr ((P +* (stop (a,i,I))),(Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),nn))) is Element of the InstructionsF of SCMPDS
IC (Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),nn)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),nn)) . (IC ) is set
(P +* (stop (a,i,I))) /. (IC (Comput ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s))),nn))) is Element of the InstructionsF of SCMPDS
Result ((P +* (stop (a,i,I))),s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Result ((P +* (stop (a,i,I))),(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
c is set
X is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
{} is empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional ext-real non positive non negative epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V27() V28() V33() V34() V35() V36() Cardinal-yielding integer V83() set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
0 + (b . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b . a is ext-real V27() V28() integer set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,f,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,f,b)) . a is ext-real V27() V28() integer set
X . b is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (I,f,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,f,b)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
X . (Initialize (IExec (I,f,b))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t is Int-like Element of the carrier of SCMPDS
(IExec (I,f,b)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
0 + ((IExec (I,f,b)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,f,b)) . t is ext-real V27() V28() integer set
Q is Int-like Element of the carrier of SCMPDS
(IExec (I,f,b)) . Q is ext-real V27() V28() integer set
b . Q is ext-real V27() V28() integer set
0 + (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b is Int-like Element of the carrier of SCMPDS
s . b is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
0 + (b . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b . a is ext-real V27() V28() integer set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,f,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,f,b)) . a is ext-real V27() V28() integer set
X . b is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
Initialize (IExec (I,f,b)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,f,b)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
X . (Initialize (IExec (I,f,b))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t is Int-like Element of the carrier of SCMPDS
(IExec (I,f,b)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
0 + ((IExec (I,f,b)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,f,b)) . t is ext-real V27() V28() integer set
Q is Int-like Element of the carrier of SCMPDS
(IExec (I,f,b)) . Q is ext-real V27() V28() integer set
b . Q is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
X is set
b is set
f is non empty Relation-like product (the_Values_of SCMPDS) -defined NAT -valued Function-like total V30( product (the_Values_of SCMPDS), NAT ) V33() V34() V35() V36() Element of K32(K33((product (the_Values_of SCMPDS)),NAT))
t is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
t . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (t . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
f . t is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
t is Int-like Element of the carrier of SCMPDS
s . t is ext-real V27() V28() integer set
Q is Int-like Element of the carrier of SCMPDS
s . Q is ext-real V27() V28() integer set
t is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
t . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (t . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
t . a is ext-real V27() V28() integer set
Q is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,Q,t) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,Q,t)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
(IExec (I,Q,t)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
v is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
v . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (v . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,Q,t)) . a is ext-real V27() V28() integer set
f . t is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
f . (Initialize (IExec (I,Q,t))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
(Initialize (IExec (I,Q,t))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(IExec (I,Q,t)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
(Initialize (IExec (I,Q,t))) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + ((Initialize (IExec (I,Q,t))) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
x is Int-like Element of the carrier of SCMPDS
(IExec (I,Q,t)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + ((IExec (I,Q,t)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,Q,t)) . x is ext-real V27() V28() integer set
(Initialize (IExec (I,Q,t))) . x is ext-real V27() V28() integer set
x is Int-like Element of the carrier of SCMPDS
(IExec (I,Q,t)) . x is ext-real V27() V28() integer set
t . x is ext-real V27() V28() integer set
(Initialize (IExec (I,Q,t))) . x is ext-real V27() V28() integer set
s . x is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
c is set
{} is empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional ext-real non positive non negative epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V27() V28() V33() V34() V35() V36() Cardinal-yielding integer V83() set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
0 + (b . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b . a is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,b,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,b,b)) . a is ext-real V27() V28() integer set
(IExec (I,b,b)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
f is Int-like Element of the carrier of SCMPDS
0 + ((IExec (I,b,b)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,b,b)) . f is ext-real V27() V28() integer set
t is Int-like Element of the carrier of SCMPDS
(IExec (I,b,b)) . t is ext-real V27() V28() integer set
b . t is ext-real V27() V28() integer set
0 + (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b is Int-like Element of the carrier of SCMPDS
s . b is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
0 + (b . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b . a is ext-real V27() V28() integer set
b is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,b,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,b,b)) . a is ext-real V27() V28() integer set
(IExec (I,b,b)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
f is Int-like Element of the carrier of SCMPDS
0 + ((IExec (I,b,b)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,b,b)) . f is ext-real V27() V28() integer set
t is Int-like Element of the carrier of SCMPDS
(IExec (I,b,b)) . t is ext-real V27() V28() integer set
b . t is ext-real V27() V28() integer set
P is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
s is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
IExec (I,P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
Initialize (IExec (I,P,s)) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
Start-At (0,SCMPDS) is non empty Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible V43() countable 0 -started set
K344((IC ),0) is V5() INT -valued V33() V34() V35() V36() set
{(IC )} is non empty set
K335({(IC )},0) is non empty Relation-like {(IC )} -defined INT -valued {0} -valued Function-like total V30({(IC )},{0}) V33() V34() V35() V36() Element of K32(K33({(IC )},{0}))
{0} is non empty functional with_common_domain set
K33({(IC )},{0}) is Relation-like set
K32(K33({(IC )},{0})) is set
(IExec (I,P,s)) +* (Start-At (0,SCMPDS)) is non empty Relation-like the carrier of SCMPDS -defined the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible the_Values_of SCMPDS -compatible total 0 -started set
a is Int-like Element of the carrier of SCMPDS
s . a is ext-real V27() V28() integer set
c is ext-real V27() V28() integer set
i is ext-real V27() V28() integer set
DataLoc ((s . a),i) is Int-like Element of the carrier of SCMPDS
s . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (s . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(a,i,I) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) shiftable set
card I is ext-real non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer Element of NAT
dom I is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() V124() set
(card I) + 2 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
(a,i) <=0_goto ((card I) + 2) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
((a,i) <=0_goto ((card I) + 2)) ';' I is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
(card I) + 1 is non empty ext-real positive non negative epsilon-transitive epsilon-connected ordinal natural V27() V28() integer V76() Element of NAT
- ((card I) + 1) is ext-real non positive V27() V28() integer set
goto (- ((card I) + 1)) is V89( the InstructionsF of SCMPDS) Element of the InstructionsF of SCMPDS
(((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (goto (- ((card I) + 1))) is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like T-Sequence-like V43() countable V83() halt-free V93( SCMPDS ) set
IExec ((a,i,I),P,s) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
IExec ((a,i,I),P,(Initialize (IExec (I,P,s)))) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
X is set
{} is empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional ext-real non positive non negative epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V27() V28() V33() V34() V35() V36() Cardinal-yielding integer V83() set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (b . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b . a is ext-real V27() V28() integer set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,f,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,f,b)) . a is ext-real V27() V28() integer set
(IExec (I,f,b)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
t is Int-like Element of the carrier of SCMPDS
c + ((IExec (I,f,b)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,f,b)) . t is ext-real V27() V28() integer set
Q is Int-like Element of the carrier of SCMPDS
(IExec (I,f,b)) . Q is ext-real V27() V28() integer set
b . Q is ext-real V27() V28() integer set
b is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total 0 -started set
b . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
c + (b . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
b . a is ext-real V27() V28() integer set
f is non empty Relation-like NAT -defined the InstructionsF of SCMPDS -valued Function-like total set
IExec (I,f,b) is Relation-like the carrier of SCMPDS -defined Function-like the_Values_of SCMPDS -compatible total set
(IExec (I,f,b)) . a is ext-real V27() V28() integer set
(IExec (I,f,b)) . (DataLoc ((s . a),i)) is ext-real V27() V28() integer set
t is Int-like Element of the carrier of SCMPDS
c + ((IExec (I,f,b)) . (DataLoc ((s . a),i))) is ext-real V27() V28() integer set
(IExec (I,f,b)) . t is ext-real V27() V28() integer set
Q is Int-like Element of the carrier of SCMPDS
(IExec (I,f,b)) . Q is ext-real V27() V28() integer set
b . Q is ext-real V27() V28() integer set