:: SCMPDS_2 semantic presentation

REAL is V63() set
NAT is non empty epsilon-transitive epsilon-connected ordinal V26() V59() V60() V63() Element of K32(REAL)
K32(REAL) is set
omega is non empty epsilon-transitive epsilon-connected ordinal V26() V59() V60() V63() set
K32(omega) is set
K32(NAT) is set
9 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
Segm 9 is V59() Element of K32(omega)
K208() is non empty set
SCM-Memory is non empty set
{NAT} is non empty V63() V64() set
{NAT} \/ K208() is non empty set
K32(SCM-Memory) is set
2 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
K33(SCM-Memory,2) is Relation-like set
K32(K33(SCM-Memory,2)) is set
SCM-OK is non empty Relation-like SCM-Memory -defined 2 -valued Function-like V37( SCM-Memory ) V38( SCM-Memory ,2) Element of K32(K33(SCM-Memory,2))
SCM-VAL is non empty Relation-like 2 -defined Function-like V37(2) set
INT is set
K274(NAT,INT) is set
SCM-OK * SCM-VAL is non empty Relation-like non-empty non empty-yielding SCM-Memory -defined SCM-Memory -defined Function-like V37( SCM-Memory ) V37( SCM-Memory ) set
K191((SCM-OK * SCM-VAL)) is non empty functional V57() V58() set
K209() is non empty Relation-like standard-ins V72() V73() V75() set
K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL))) is non empty functional set
K33(K209(),K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL)))) is Relation-like set
K32(K33(K209(),K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL))))) is set
SCM is non empty with_non-empty_values IC-Ins-separated strict strict halting AMI-Struct over 2
the InstructionsF of SCM is non empty Relation-like standard-ins V72() V73() V75() set
the carrier of SCM is set
the_Values_of SCM is Relation-like the carrier of SCM -defined Function-like V37( the carrier of SCM) set
the Object-Kind of SCM is Relation-like the carrier of SCM -defined 2 -valued Function-like V37( the carrier of SCM) V38( 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 V37(2) set
the Object-Kind of SCM * the ValuesF of SCM is Relation-like the carrier of SCM -defined Function-like V37( the carrier of SCM) set
K208() \/ INT is non empty set
SCM-Data-Loc is non empty Element of K32(SCM-Memory)
SCM-Data-Loc \/ INT is non empty set
SCMPDS-Instr is non empty Relation-like standard-ins V72() V73() V75() set
0 is empty Relation-like non-empty empty-yielding Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V24() V25() V56() integer Function-yielding V94() ext-real non positive non negative Element of NAT
{} is empty Relation-like non-empty empty-yielding Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V24() V25() V56() integer Function-yielding V94() ext-real non positive non negative set
[0,{},{}] is V1() V2() set
[0,{}] is V1() set
{0,{}} is non empty functional set
{0} is non empty functional V57() set
{{0,{}},{0}} is non empty V63() V64() set
[[0,{}],{}] is V1() set
{[0,{}],{}} is non empty set
{[0,{}]} is non empty Relation-like Function-like set
{{[0,{}],{}},{[0,{}]}} is non empty V63() V64() set
{[0,{},{}]} is non empty Relation-like standard-ins V72() V73() V75() set
14 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
{ [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is set
{[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is non empty set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
{ [1,{},<*b1*>] where b1 is Element of K208() : verum } is set
({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of K208() : verum } is non empty set
15 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
Segm 15 is V59() Element of K32(omega)
3 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
{2,3} is non empty V63() V64() set
{ [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is set
(({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of K208() : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is non empty set
4 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
5 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
6 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
7 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
8 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
{4,5,6,7,8} is V63() set
{ [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is set
((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of K208() : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is non empty set
10 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
11 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
12 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
13 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
{9,10,11,12,13} is V63() set
{ [b1,{},<*b2,b3,b4,b5*>] where b1 is Element of Segm 15, b2, b3 is Element of K208(), b4, b5 is V24() V25() integer ext-real Element of INT : b1 in {9,10,11,12,13} } is set
(((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of K208() : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } ) \/ { [b1,{},<*b2,b3,b4,b5*>] where b1 is Element of Segm 15, b2, b3 is Element of K208(), b4, b5 is V24() V25() integer ext-real Element of INT : b1 in {9,10,11,12,13} } is non empty set
K33(SCMPDS-Instr,K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL)))) is Relation-like set
K32(K33(SCMPDS-Instr,K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL))))) is set
COMPLEX is set
(SCM-OK * SCM-VAL) . NAT is set
RetSP is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
RetIC is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCMPDS-Exec is non empty Relation-like SCMPDS-Instr -defined K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL))) -valued Function-like V37( SCMPDS-Instr ) V38( SCMPDS-Instr ,K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL)))) Function-yielding V94() Element of K32(K33(SCMPDS-Instr,K163(K191((SCM-OK * SCM-VAL)),K191((SCM-OK * SCM-VAL)))))
{ [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of K208(), b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is set
In (NAT,SCM-Memory) is Element of SCM-Memory
AMI-Struct(# SCM-Memory,(In (NAT,SCM-Memory)),SCMPDS-Instr,SCM-OK,SCM-VAL,SCMPDS-Exec #) is strict AMI-Struct over 2
() is strict AMI-Struct over 2
the_Values_of () is Relation-like the carrier of () -defined Function-like V37( the carrier of ()) set
the carrier of () is set
the Object-Kind of () is Relation-like the carrier of () -defined 2 -valued Function-like V37( the carrier of ()) V38( the carrier of (),2) Element of K32(K33( the carrier of (),2))
K33( the carrier of (),2) is Relation-like set
K32(K33( the carrier of (),2)) is set
the ValuesF of () is non empty Relation-like 2 -defined Function-like V37(2) set
the Object-Kind of () * the ValuesF of () is Relation-like the carrier of () -defined Function-like V37( the carrier of ()) set
IC is Element of the carrier of ()
the ZeroF of () is Element of the carrier of ()
Values (IC ) is set
(the_Values_of ()) . (IC ) is set
the carrier of () is set
the_Values_of () is Relation-like the carrier of () -defined Function-like V37( the carrier of ()) set
the Object-Kind of () is Relation-like the carrier of () -defined 2 -valued Function-like V37( the carrier of ()) V38( the carrier of (),2) Element of K32(K33( the carrier of (),2))
K33( the carrier of (),2) is Relation-like set
K32(K33( the carrier of (),2)) is set
the ValuesF of () is non empty Relation-like 2 -defined Function-like V37(2) set
the Object-Kind of () * the ValuesF of () is Relation-like the carrier of () -defined Function-like V37( the carrier of ()) set
IC is Element of the carrier of ()
the ZeroF of () is Element of the carrier of ()
the Element of SCM-Data-Loc is Element of SCM-Data-Loc
S1 is Element of the carrier of ()
S1 is Int-like Element of the carrier of ()
Values S1 is set
(the_Values_of ()) . S1 is set
the InstructionsF of () is non empty Relation-like standard-ins V72() V73() V75() set
{ [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is set
{ [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } is set
{ [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is set
{ [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is set
{ [b1,{},<*b2,b3,b4,b5*>] where b1 is Element of Segm 15, b2, b3 is Element of SCM-Data-Loc , b4, b5 is V24() V25() integer ext-real Element of INT : b1 in {9,10,11,12,13} } is set
i is Element of the InstructionsF of ()
{[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is non empty set
({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } is non empty set
(({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is non empty set
((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is non empty set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
I is Int-like Element of the carrier of ()
i . I is set
d4 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
I3 is Element of SCM-Data-Loc
d4 . I3 is V24() V25() integer ext-real set
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
i + I is V24() V25() integer ext-real set
abs (i + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs (i + I))] is V1() set
{1,(abs (i + I))} is non empty set
{1} is non empty V63() V64() set
{{1,(abs (i + I))},{1}} is non empty V63() V64() set
i is V24() V25() integer ext-real set
<*i*> is Relation-like Function-like set
[14,{},<*i*>] is V1() V2() set
[14,{}] is V1() set
{14,{}} is non empty set
{14} is non empty V63() V64() set
{{14,{}},{14}} is non empty V63() V64() set
[[14,{}],<*i*>] is V1() set
{[14,{}],<*i*>} is non empty set
{[14,{}]} is non empty Relation-like Function-like set
{{[14,{}],<*i*>},{[14,{}]}} is non empty V63() V64() set
{[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is non empty set
({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } is non empty set
(({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is non empty set
((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is non empty set
i is Element of SCM-Data-Loc
<*i*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc
[1,{},<*i*>] is V1() V2() set
[1,{}] is V1() set
{1,{}} is non empty set
{{1,{}},{1}} is non empty V63() V64() set
[[1,{}],<*i*>] is V1() set
{[1,{}],<*i*>} is non empty set
{[1,{}]} is non empty Relation-like Function-like set
{{[1,{}],<*i*>},{[1,{}]}} is non empty V63() V64() set
{[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is non empty set
({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } is non empty set
(({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is non empty set
((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is non empty set
i is set
I is Element of SCM-Data-Loc
I3 is V24() V25() integer ext-real set
<*I,I3*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[i,{},<*I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*I,I3*>] is V1() set
{[i,{}],<*I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*I,I3*>},{[i,{}]}} is non empty V63() V64() set
d4 is Element of Segm 15
[d4,{},<*I,I3*>] is V1() V2() set
[d4,{}] is V1() set
{d4,{}} is non empty set
{d4} is non empty set
{{d4,{}},{d4}} is non empty V63() V64() set
[[d4,{}],<*I,I3*>] is V1() set
{[d4,{}],<*I,I3*>} is non empty set
{[d4,{}]} is non empty Relation-like Function-like set
{{[d4,{}],<*I,I3*>},{[d4,{}]}} is non empty V63() V64() set
{[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is non empty set
({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } is non empty set
(({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is non empty set
((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is non empty set
i is set
I is Element of SCM-Data-Loc
I3 is V24() V25() integer ext-real set
d4 is V24() V25() integer ext-real set
<*I,I3,d4*> is set
[i,{},<*I,I3,d4*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*I,I3,d4*>] is V1() set
{[i,{}],<*I,I3,d4*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*I,I3,d4*>},{[i,{}]}} is non empty V63() V64() set
d5 is Element of Segm 15
[d5,{},<*I,I3,d4*>] is V1() V2() set
[d5,{}] is V1() set
{d5,{}} is non empty set
{d5} is non empty set
{{d5,{}},{d5}} is non empty V63() V64() set
[[d5,{}],<*I,I3,d4*>] is V1() set
{[d5,{}],<*I,I3,d4*>} is non empty set
{[d5,{}]} is non empty Relation-like Function-like set
{{[d5,{}],<*I,I3,d4*>},{[d5,{}]}} is non empty V63() V64() set
{[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } is non empty set
({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } is non empty set
(({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } is non empty set
((({[0,{},{}]} \/ { [14,{},<*b1*>] where b1 is V24() V25() integer ext-real Element of INT : verum } ) \/ { [1,{},<*b1*>] where b1 is Element of SCM-Data-Loc : verum } ) \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3 is V24() V25() integer ext-real Element of INT : b1 in {2,3} } ) \/ { [b1,{},<*b2,b3,b4*>] where b1 is Element of Segm 15, b2 is Element of SCM-Data-Loc , b3, b4 is V24() V25() integer ext-real Element of INT : b1 in {4,5,6,7,8} } is non empty set
i is set
I is Element of SCM-Data-Loc
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real set
d5 is V24() V25() integer ext-real set
<*I,I3,d4,d5*> is set
[i,{},<*I,I3,d4,d5*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*I,I3,d4,d5*>] is V1() set
{[i,{}],<*I,I3,d4,d5*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*I,I3,d4,d5*>},{[i,{}]}} is non empty V63() V64() set
k1 is Element of Segm 15
[k1,{},<*I,I3,d4,d5*>] is V1() V2() set
[k1,{}] is V1() set
{k1,{}} is non empty set
{k1} is non empty set
{{k1,{}},{k1}} is non empty V63() V64() set
[[k1,{}],<*I,I3,d4,d5*>] is V1() set
{[k1,{}],<*I,I3,d4,d5*>} is non empty set
{[k1,{}]} is non empty Relation-like Function-like set
{{[k1,{}],<*I,I3,d4,d5*>},{[k1,{}]}} is non empty V63() V64() set
i is V24() V25() integer ext-real set
<*i*> is Relation-like Function-like set
[14,{},<*i*>] is V1() V2() set
[14,{}] is V1() set
{14,{}} is non empty set
{14} is non empty V63() V64() set
{{14,{}},{14}} is non empty V63() V64() set
[[14,{}],<*i*>] is V1() set
{[14,{}],<*i*>} is non empty set
{[14,{}]} is non empty Relation-like Function-like set
{{[14,{}],<*i*>},{[14,{}]}} is non empty V63() V64() set
i is Int-like Element of the carrier of ()
<*i*> is Relation-like Function-like set
[1,{},<*i*>] is V1() V2() set
[1,{}] is V1() set
{1,{}} is non empty set
{{1,{}},{1}} is non empty V63() V64() set
[[1,{}],<*i*>] is V1() set
{[1,{}],<*i*>} is non empty set
{[1,{}]} is non empty Relation-like Function-like set
{{[1,{}],<*i*>},{[1,{}]}} is non empty V63() V64() set
I is Element of SCM-Data-Loc
<*I*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc
[1,{},<*I*>] is V1() V2() set
[[1,{}],<*I*>] is V1() set
{[1,{}],<*I*>} is non empty set
{{[1,{}],<*I*>},{[1,{}]}} is non empty V63() V64() set
i is Int-like Element of the carrier of ()
I is V24() V25() integer ext-real set
<*i,I*> is set
[2,{},<*i,I*>] is V1() V2() set
[2,{}] is V1() set
{2,{}} is non empty set
{2} is non empty V63() V64() set
{{2,{}},{2}} is non empty V63() V64() set
[[2,{}],<*i,I*>] is V1() set
{[2,{}],<*i,I*>} is non empty set
{[2,{}]} is non empty Relation-like Function-like set
{{[2,{}],<*i,I*>},{[2,{}]}} is non empty V63() V64() set
I3 is Element of SCM-Data-Loc
<*I3,I*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[2,{},<*I3,I*>] is V1() V2() set
[[2,{}],<*I3,I*>] is V1() set
{[2,{}],<*I3,I*>} is non empty set
{{[2,{}],<*I3,I*>},{[2,{}]}} is non empty V63() V64() set
[3,{},<*i,I*>] is V1() V2() set
[3,{}] is V1() set
{3,{}} is non empty set
{3} is non empty V63() V64() set
{{3,{}},{3}} is non empty V63() V64() set
[[3,{}],<*i,I*>] is V1() set
{[3,{}],<*i,I*>} is non empty set
{[3,{}]} is non empty Relation-like Function-like set
{{[3,{}],<*i,I*>},{[3,{}]}} is non empty V63() V64() set
I3 is Element of SCM-Data-Loc
<*I3,I*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[3,{},<*I3,I*>] is V1() V2() set
[[3,{}],<*I3,I*>] is V1() set
{[3,{}],<*I3,I*>} is non empty set
{{[3,{}],<*I3,I*>},{[3,{}]}} is non empty V63() V64() set
i is Int-like Element of the carrier of ()
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
<*i,I,I3*> is set
[4,{},<*i,I,I3*>] is V1() V2() set
[4,{}] is V1() set
{4,{}} is non empty set
{4} is non empty V63() V64() set
{{4,{}},{4}} is non empty V63() V64() set
[[4,{}],<*i,I,I3*>] is V1() set
{[4,{}],<*i,I,I3*>} is non empty set
{[4,{}]} is non empty Relation-like Function-like set
{{[4,{}],<*i,I,I3*>},{[4,{}]}} is non empty V63() V64() set
d4 is Element of SCM-Data-Loc
<*d4,I,I3*> is set
[4,{},<*d4,I,I3*>] is V1() V2() set
[[4,{}],<*d4,I,I3*>] is V1() set
{[4,{}],<*d4,I,I3*>} is non empty set
{{[4,{}],<*d4,I,I3*>},{[4,{}]}} is non empty V63() V64() set
[5,{},<*i,I,I3*>] is V1() V2() set
[5,{}] is V1() set
{5,{}} is non empty set
{5} is non empty V63() V64() set
{{5,{}},{5}} is non empty V63() V64() set
[[5,{}],<*i,I,I3*>] is V1() set
{[5,{}],<*i,I,I3*>} is non empty set
{[5,{}]} is non empty Relation-like Function-like set
{{[5,{}],<*i,I,I3*>},{[5,{}]}} is non empty V63() V64() set
d4 is Element of SCM-Data-Loc
<*d4,I,I3*> is set
[5,{},<*d4,I,I3*>] is V1() V2() set
[[5,{}],<*d4,I,I3*>] is V1() set
{[5,{}],<*d4,I,I3*>} is non empty set
{{[5,{}],<*d4,I,I3*>},{[5,{}]}} is non empty V63() V64() set
[6,{},<*i,I,I3*>] is V1() V2() set
[6,{}] is V1() set
{6,{}} is non empty set
{6} is non empty V63() V64() set
{{6,{}},{6}} is non empty V63() V64() set
[[6,{}],<*i,I,I3*>] is V1() set
{[6,{}],<*i,I,I3*>} is non empty set
{[6,{}]} is non empty Relation-like Function-like set
{{[6,{}],<*i,I,I3*>},{[6,{}]}} is non empty V63() V64() set
d4 is Element of SCM-Data-Loc
<*d4,I,I3*> is set
[6,{},<*d4,I,I3*>] is V1() V2() set
[[6,{}],<*d4,I,I3*>] is V1() set
{[6,{}],<*d4,I,I3*>} is non empty set
{{[6,{}],<*d4,I,I3*>},{[6,{}]}} is non empty V63() V64() set
[7,{},<*i,I,I3*>] is V1() V2() set
[7,{}] is V1() set
{7,{}} is non empty set
{7} is non empty V63() V64() set
{{7,{}},{7}} is non empty V63() V64() set
[[7,{}],<*i,I,I3*>] is V1() set
{[7,{}],<*i,I,I3*>} is non empty set
{[7,{}]} is non empty Relation-like Function-like set
{{[7,{}],<*i,I,I3*>},{[7,{}]}} is non empty V63() V64() set
d4 is Element of SCM-Data-Loc
<*d4,I,I3*> is set
[7,{},<*d4,I,I3*>] is V1() V2() set
[[7,{}],<*d4,I,I3*>] is V1() set
{[7,{}],<*d4,I,I3*>} is non empty set
{{[7,{}],<*d4,I,I3*>},{[7,{}]}} is non empty V63() V64() set
[8,{},<*i,I,I3*>] is V1() V2() set
[8,{}] is V1() set
{8,{}} is non empty set
{8} is non empty V63() V64() set
{{8,{}},{8}} is non empty V63() V64() set
[[8,{}],<*i,I,I3*>] is V1() set
{[8,{}],<*i,I,I3*>} is non empty set
{[8,{}]} is non empty Relation-like Function-like set
{{[8,{}],<*i,I,I3*>},{[8,{}]}} is non empty V63() V64() set
d4 is Element of SCM-Data-Loc
<*d4,I,I3*> is set
[8,{},<*d4,I,I3*>] is V1() V2() set
[[8,{}],<*d4,I,I3*>] is V1() set
{[8,{}],<*d4,I,I3*>} is non empty set
{{[8,{}],<*d4,I,I3*>},{[8,{}]}} is non empty V63() V64() set
i is Int-like Element of the carrier of ()
I is Int-like Element of the carrier of ()
I3 is V24() V25() integer ext-real set
d4 is V24() V25() integer ext-real set
<*i,I,I3,d4*> is set
[9,{},<*i,I,I3,d4*>] is V1() V2() set
[9,{}] is V1() set
{9,{}} is non empty set
{9} is non empty V63() V64() set
{{9,{}},{9}} is non empty V63() V64() set
[[9,{}],<*i,I,I3,d4*>] is V1() set
{[9,{}],<*i,I,I3,d4*>} is non empty set
{[9,{}]} is non empty Relation-like Function-like set
{{[9,{}],<*i,I,I3,d4*>},{[9,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is Element of SCM-Data-Loc
<*d5,k1,I3,d4*> is set
[9,{},<*d5,k1,I3,d4*>] is V1() V2() set
[[9,{}],<*d5,k1,I3,d4*>] is V1() set
{[9,{}],<*d5,k1,I3,d4*>} is non empty set
{{[9,{}],<*d5,k1,I3,d4*>},{[9,{}]}} is non empty V63() V64() set
[10,{},<*i,I,I3,d4*>] is V1() V2() set
[10,{}] is V1() set
{10,{}} is non empty set
{10} is non empty V63() V64() set
{{10,{}},{10}} is non empty V63() V64() set
[[10,{}],<*i,I,I3,d4*>] is V1() set
{[10,{}],<*i,I,I3,d4*>} is non empty set
{[10,{}]} is non empty Relation-like Function-like set
{{[10,{}],<*i,I,I3,d4*>},{[10,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is Element of SCM-Data-Loc
<*d5,k1,I3,d4*> is set
[10,{},<*d5,k1,I3,d4*>] is V1() V2() set
[[10,{}],<*d5,k1,I3,d4*>] is V1() set
{[10,{}],<*d5,k1,I3,d4*>} is non empty set
{{[10,{}],<*d5,k1,I3,d4*>},{[10,{}]}} is non empty V63() V64() set
[11,{},<*i,I,I3,d4*>] is V1() V2() set
[11,{}] is V1() set
{11,{}} is non empty set
{11} is non empty V63() V64() set
{{11,{}},{11}} is non empty V63() V64() set
[[11,{}],<*i,I,I3,d4*>] is V1() set
{[11,{}],<*i,I,I3,d4*>} is non empty set
{[11,{}]} is non empty Relation-like Function-like set
{{[11,{}],<*i,I,I3,d4*>},{[11,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is Element of SCM-Data-Loc
<*d5,k1,I3,d4*> is set
[11,{},<*d5,k1,I3,d4*>] is V1() V2() set
[[11,{}],<*d5,k1,I3,d4*>] is V1() set
{[11,{}],<*d5,k1,I3,d4*>} is non empty set
{{[11,{}],<*d5,k1,I3,d4*>},{[11,{}]}} is non empty V63() V64() set
[12,{},<*i,I,I3,d4*>] is V1() V2() set
[12,{}] is V1() set
{12,{}} is non empty set
{12} is non empty V63() V64() set
{{12,{}},{12}} is non empty V63() V64() set
[[12,{}],<*i,I,I3,d4*>] is V1() set
{[12,{}],<*i,I,I3,d4*>} is non empty set
{[12,{}]} is non empty Relation-like Function-like set
{{[12,{}],<*i,I,I3,d4*>},{[12,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is Element of SCM-Data-Loc
<*d5,k1,I3,d4*> is set
[12,{},<*d5,k1,I3,d4*>] is V1() V2() set
[[12,{}],<*d5,k1,I3,d4*>] is V1() set
{[12,{}],<*d5,k1,I3,d4*>} is non empty set
{{[12,{}],<*d5,k1,I3,d4*>},{[12,{}]}} is non empty V63() V64() set
[13,{},<*i,I,I3,d4*>] is V1() V2() set
[13,{}] is V1() set
{13,{}} is non empty set
{13} is non empty V63() V64() set
{{13,{}},{13}} is non empty V63() V64() set
[[13,{}],<*i,I,I3,d4*>] is V1() set
{[13,{}],<*i,I,I3,d4*>} is non empty set
{[13,{}]} is non empty Relation-like Function-like set
{{[13,{}],<*i,I,I3,d4*>},{[13,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is Element of SCM-Data-Loc
<*d5,k1,I3,d4*> is set
[13,{},<*d5,k1,I3,d4*>] is V1() V2() set
[[13,{}],<*d5,k1,I3,d4*>] is V1() set
{[13,{}],<*d5,k1,I3,d4*>} is non empty set
{{[13,{}],<*d5,k1,I3,d4*>},{[13,{}]}} is non empty V63() V64() set
i is V24() V25() integer ext-real set
(i) is Element of the InstructionsF of ()
<*i*> is Relation-like Function-like set
[14,{},<*i*>] is V1() V2() set
[[14,{}],<*i*>] is V1() set
{[14,{}],<*i*>} is non empty set
{{[14,{}],<*i*>},{[14,{}]}} is non empty V63() V64() set
InsCode (i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((i)) is set
K13(K13((i))) is set
i is Int-like Element of the carrier of ()
(i) is Element of the InstructionsF of ()
<*i*> is Relation-like Function-like set
[1,{},<*i*>] is V1() V2() set
[[1,{}],<*i*>] is V1() set
{[1,{}],<*i*>} is non empty set
{{[1,{}],<*i*>},{[1,{}]}} is non empty V63() V64() set
InsCode (i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((i)) is set
K13(K13((i))) is set
I is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
(I,i) is Element of the InstructionsF of ()
<*I,i*> is set
[2,{},<*I,i*>] is V1() V2() set
[[2,{}],<*I,i*>] is V1() set
{[2,{}],<*I,i*>} is non empty set
{{[2,{}],<*I,i*>},{[2,{}]}} is non empty V63() V64() set
InsCode (I,i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I,i)) is set
K13(K13((I,i))) is set
I is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
(I,i) is Element of the InstructionsF of ()
<*I,i*> is set
[3,{},<*I,i*>] is V1() V2() set
[[3,{}],<*I,i*>] is V1() set
{[3,{}],<*I,i*>} is non empty set
{{[3,{}],<*I,i*>},{[3,{}]}} is non empty V63() V64() set
InsCode (I,i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I,i)) is set
K13(K13((I,i))) is set
I3 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[4,{},<*I3,i,I*>] is V1() V2() set
[[4,{}],<*I3,i,I*>] is V1() set
{[4,{}],<*I3,i,I*>} is non empty set
{{[4,{}],<*I3,i,I*>},{[4,{}]}} is non empty V63() V64() set
InsCode (I3,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,i,I)) is set
K13(K13((I3,i,I))) is set
I3 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[5,{},<*I3,i,I*>] is V1() V2() set
[[5,{}],<*I3,i,I*>] is V1() set
{[5,{}],<*I3,i,I*>} is non empty set
{{[5,{}],<*I3,i,I*>},{[5,{}]}} is non empty V63() V64() set
InsCode (I3,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,i,I)) is set
K13(K13((I3,i,I))) is set
I3 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[6,{},<*I3,i,I*>] is V1() V2() set
[[6,{}],<*I3,i,I*>] is V1() set
{[6,{}],<*I3,i,I*>} is non empty set
{{[6,{}],<*I3,i,I*>},{[6,{}]}} is non empty V63() V64() set
InsCode (I3,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,i,I)) is set
K13(K13((I3,i,I))) is set
I3 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[7,{},<*I3,i,I*>] is V1() V2() set
[[7,{}],<*I3,i,I*>] is V1() set
{[7,{}],<*I3,i,I*>} is non empty set
{{[7,{}],<*I3,i,I*>},{[7,{}]}} is non empty V63() V64() set
InsCode (I3,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,i,I)) is set
K13(K13((I3,i,I))) is set
I3 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[8,{},<*I3,i,I*>] is V1() V2() set
[[8,{}],<*I3,i,I*>] is V1() set
{[8,{}],<*I3,i,I*>} is non empty set
{{[8,{}],<*I3,i,I*>},{[8,{}]}} is non empty V63() V64() set
InsCode (I3,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,i,I)) is set
K13(K13((I3,i,I))) is set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[9,{},<*I3,d4,i,I*>] is V1() V2() set
[[9,{}],<*I3,d4,i,I*>] is V1() set
{[9,{}],<*I3,d4,i,I*>} is non empty set
{{[9,{}],<*I3,d4,i,I*>},{[9,{}]}} is non empty V63() V64() set
InsCode (I3,d4,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,d4,i,I)) is set
K13(K13((I3,d4,i,I))) is set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[10,{},<*I3,d4,i,I*>] is V1() V2() set
[[10,{}],<*I3,d4,i,I*>] is V1() set
{[10,{}],<*I3,d4,i,I*>} is non empty set
{{[10,{}],<*I3,d4,i,I*>},{[10,{}]}} is non empty V63() V64() set
InsCode (I3,d4,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,d4,i,I)) is set
K13(K13((I3,d4,i,I))) is set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[11,{},<*I3,d4,i,I*>] is V1() V2() set
[[11,{}],<*I3,d4,i,I*>] is V1() set
{[11,{}],<*I3,d4,i,I*>} is non empty set
{{[11,{}],<*I3,d4,i,I*>},{[11,{}]}} is non empty V63() V64() set
InsCode (I3,d4,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,d4,i,I)) is set
K13(K13((I3,d4,i,I))) is set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[12,{},<*I3,d4,i,I*>] is V1() V2() set
[[12,{}],<*I3,d4,i,I*>] is V1() set
{[12,{}],<*I3,d4,i,I*>} is non empty set
{{[12,{}],<*I3,d4,i,I*>},{[12,{}]}} is non empty V63() V64() set
InsCode (I3,d4,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,d4,i,I)) is set
K13(K13((I3,d4,i,I))) is set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[13,{},<*I3,d4,i,I*>] is V1() V2() set
[[13,{}],<*I3,d4,i,I*>] is V1() set
{[13,{}],<*I3,d4,i,I*>} is non empty set
{{[13,{}],<*I3,d4,i,I*>},{[13,{}]}} is non empty V63() V64() set
InsCode (I3,d4,i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13((I3,d4,i,I)) is set
K13(K13((I3,d4,i,I))) is set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is V24() V25() integer ext-real Element of INT
<*I*> is Relation-like Function-like set
[14,{},<*I*>] is V1() V2() set
[[14,{}],<*I*>] is V1() set
{[14,{}],<*I*>} is non empty set
{{[14,{}],<*I*>},{[14,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of SCM-Data-Loc
<*I*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc
[1,{},<*I*>] is V1() V2() set
[[1,{}],<*I*>] is V1() set
{[1,{}],<*I*>} is non empty set
{{[1,{}],<*I*>},{[1,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
<*I3,d4*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[I,{},<*I3,d4*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4*>] is V1() set
{[I,{}],<*I3,d4*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4*>},{[I,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
d5 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5*> is set
[I,{},<*I3,d4,d5*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5*>] is V1() set
{[I,{}],<*I3,d4,d5*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5*>},{[I,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5,k1*> is set
[I,{},<*I3,d4,d5,k1*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5,k1*>] is V1() set
{[I,{}],<*I3,d4,d5,k1*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5,k1*>},{[I,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is V24() V25() integer ext-real Element of INT
<*I*> is Relation-like Function-like set
[14,{},<*I*>] is V1() V2() set
[[14,{}],<*I*>] is V1() set
{[14,{}],<*I*>} is non empty set
{{[14,{}],<*I*>},{[14,{}]}} is non empty V63() V64() set
(I) is Element of the InstructionsF of ()
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of SCM-Data-Loc
<*I*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc
[1,{},<*I*>] is V1() V2() set
[[1,{}],<*I*>] is V1() set
{[1,{}],<*I*>} is non empty set
{{[1,{}],<*I*>},{[1,{}]}} is non empty V63() V64() set
I3 is Int-like Element of the carrier of ()
(I3) is Element of the InstructionsF of ()
<*I3*> is Relation-like Function-like set
[1,{},<*I3*>] is V1() V2() set
[[1,{}],<*I3*>] is V1() set
{[1,{}],<*I3*>} is non empty set
{{[1,{}],<*I3*>},{[1,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
<*I3,d4*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[I,{},<*I3,d4*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4*>] is V1() set
{[I,{}],<*I3,d4*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4*>},{[I,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is V24() V25() integer ext-real set
<*d5,k1*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[2,{},<*d5,k1*>] is V1() V2() set
[[2,{}],<*d5,k1*>] is V1() set
{[2,{}],<*d5,k1*>} is non empty set
{{[2,{}],<*d5,k1*>},{[2,{}]}} is non empty V63() V64() set
k2 is Int-like Element of the carrier of ()
(k2,k1) is Element of the InstructionsF of ()
<*k2,k1*> is set
[2,{},<*k2,k1*>] is V1() V2() set
[[2,{}],<*k2,k1*>] is V1() set
{[2,{}],<*k2,k1*>} is non empty set
{{[2,{}],<*k2,k1*>},{[2,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
<*I3,d4*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[I,{},<*I3,d4*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4*>] is V1() set
{[I,{}],<*I3,d4*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4*>},{[I,{}]}} is non empty V63() V64() set
d5 is Element of SCM-Data-Loc
k1 is V24() V25() integer ext-real set
<*d5,k1*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[3,{},<*d5,k1*>] is V1() V2() set
[[3,{}],<*d5,k1*>] is V1() set
{[3,{}],<*d5,k1*>} is non empty set
{{[3,{}],<*d5,k1*>},{[3,{}]}} is non empty V63() V64() set
k2 is Int-like Element of the carrier of ()
(k2,k1) is Element of the InstructionsF of ()
<*k2,k1*> is set
[3,{},<*k2,k1*>] is V1() V2() set
[[3,{}],<*k2,k1*>] is V1() set
{[3,{}],<*k2,k1*>} is non empty set
{{[3,{}],<*k2,k1*>},{[3,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
d5 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5*> is set
[I,{},<*I3,d4,d5*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5*>] is V1() set
{[I,{}],<*I3,d4,d5*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5*>},{[I,{}]}} is non empty V63() V64() set
k1 is Element of SCM-Data-Loc
k2 is V24() V25() integer ext-real set
a is V24() V25() integer ext-real set
<*k1,k2,a*> is set
[4,{},<*k1,k2,a*>] is V1() V2() set
[[4,{}],<*k1,k2,a*>] is V1() set
{[4,{}],<*k1,k2,a*>} is non empty set
{{[4,{}],<*k1,k2,a*>},{[4,{}]}} is non empty V63() V64() set
b is Int-like Element of the carrier of ()
(b,k2,a) is Element of the InstructionsF of ()
<*b,k2,a*> is set
[4,{},<*b,k2,a*>] is V1() V2() set
[[4,{}],<*b,k2,a*>] is V1() set
{[4,{}],<*b,k2,a*>} is non empty set
{{[4,{}],<*b,k2,a*>},{[4,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
d5 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5*> is set
[I,{},<*I3,d4,d5*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5*>] is V1() set
{[I,{}],<*I3,d4,d5*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5*>},{[I,{}]}} is non empty V63() V64() set
k1 is Element of SCM-Data-Loc
k2 is V24() V25() integer ext-real set
a is V24() V25() integer ext-real set
<*k1,k2,a*> is set
[5,{},<*k1,k2,a*>] is V1() V2() set
[[5,{}],<*k1,k2,a*>] is V1() set
{[5,{}],<*k1,k2,a*>} is non empty set
{{[5,{}],<*k1,k2,a*>},{[5,{}]}} is non empty V63() V64() set
b is Int-like Element of the carrier of ()
(b,k2,a) is Element of the InstructionsF of ()
<*b,k2,a*> is set
[5,{},<*b,k2,a*>] is V1() V2() set
[[5,{}],<*b,k2,a*>] is V1() set
{[5,{}],<*b,k2,a*>} is non empty set
{{[5,{}],<*b,k2,a*>},{[5,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
d5 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5*> is set
[I,{},<*I3,d4,d5*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5*>] is V1() set
{[I,{}],<*I3,d4,d5*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5*>},{[I,{}]}} is non empty V63() V64() set
k1 is Element of SCM-Data-Loc
k2 is V24() V25() integer ext-real set
a is V24() V25() integer ext-real set
<*k1,k2,a*> is set
[6,{},<*k1,k2,a*>] is V1() V2() set
[[6,{}],<*k1,k2,a*>] is V1() set
{[6,{}],<*k1,k2,a*>} is non empty set
{{[6,{}],<*k1,k2,a*>},{[6,{}]}} is non empty V63() V64() set
b is Int-like Element of the carrier of ()
(b,k2,a) is Element of the InstructionsF of ()
<*b,k2,a*> is set
[6,{},<*b,k2,a*>] is V1() V2() set
[[6,{}],<*b,k2,a*>] is V1() set
{[6,{}],<*b,k2,a*>} is non empty set
{{[6,{}],<*b,k2,a*>},{[6,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
d5 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5*> is set
[I,{},<*I3,d4,d5*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5*>] is V1() set
{[I,{}],<*I3,d4,d5*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5*>},{[I,{}]}} is non empty V63() V64() set
k1 is Element of SCM-Data-Loc
k2 is V24() V25() integer ext-real set
a is V24() V25() integer ext-real set
<*k1,k2,a*> is set
[7,{},<*k1,k2,a*>] is V1() V2() set
[[7,{}],<*k1,k2,a*>] is V1() set
{[7,{}],<*k1,k2,a*>} is non empty set
{{[7,{}],<*k1,k2,a*>},{[7,{}]}} is non empty V63() V64() set
b is Int-like Element of the carrier of ()
(b,k2,a) is Element of the InstructionsF of ()
<*b,k2,a*> is set
[7,{},<*b,k2,a*>] is V1() V2() set
[[7,{}],<*b,k2,a*>] is V1() set
{[7,{}],<*b,k2,a*>} is non empty set
{{[7,{}],<*b,k2,a*>},{[7,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is V24() V25() integer ext-real Element of INT
d5 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5*> is set
[I,{},<*I3,d4,d5*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5*>] is V1() set
{[I,{}],<*I3,d4,d5*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5*>},{[I,{}]}} is non empty V63() V64() set
k1 is Element of SCM-Data-Loc
k2 is V24() V25() integer ext-real set
a is V24() V25() integer ext-real set
<*k1,k2,a*> is set
[8,{},<*k1,k2,a*>] is V1() V2() set
[[8,{}],<*k1,k2,a*>] is V1() set
{[8,{}],<*k1,k2,a*>} is non empty set
{{[8,{}],<*k1,k2,a*>},{[8,{}]}} is non empty V63() V64() set
b is Int-like Element of the carrier of ()
(b,k2,a) is Element of the InstructionsF of ()
<*b,k2,a*> is set
[8,{},<*b,k2,a*>] is V1() V2() set
[[8,{}],<*b,k2,a*>] is V1() set
{[8,{}],<*b,k2,a*>} is non empty set
{{[8,{}],<*b,k2,a*>},{[8,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5,k1*> is set
[I,{},<*I3,d4,d5,k1*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5,k1*>] is V1() set
{[I,{}],<*I3,d4,d5,k1*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5,k1*>},{[I,{}]}} is non empty V63() V64() set
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
b is V24() V25() integer ext-real set
i is V24() V25() integer ext-real set
<*k2,a,b,i*> is set
[9,{},<*k2,a,b,i*>] is V1() V2() set
[[9,{}],<*k2,a,b,i*>] is V1() set
{[9,{}],<*k2,a,b,i*>} is non empty set
{{[9,{}],<*k2,a,b,i*>},{[9,{}]}} is non empty V63() V64() set
DL is Int-like Element of the carrier of ()
b is Int-like Element of the carrier of ()
(DL,b,b,i) is Element of the InstructionsF of ()
<*DL,b,b,i*> is set
[9,{},<*DL,b,b,i*>] is V1() V2() set
[[9,{}],<*DL,b,b,i*>] is V1() set
{[9,{}],<*DL,b,b,i*>} is non empty set
{{[9,{}],<*DL,b,b,i*>},{[9,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5,k1*> is set
[I,{},<*I3,d4,d5,k1*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5,k1*>] is V1() set
{[I,{}],<*I3,d4,d5,k1*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5,k1*>},{[I,{}]}} is non empty V63() V64() set
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
b is V24() V25() integer ext-real set
i is V24() V25() integer ext-real set
<*k2,a,b,i*> is set
[10,{},<*k2,a,b,i*>] is V1() V2() set
[[10,{}],<*k2,a,b,i*>] is V1() set
{[10,{}],<*k2,a,b,i*>} is non empty set
{{[10,{}],<*k2,a,b,i*>},{[10,{}]}} is non empty V63() V64() set
DL is Int-like Element of the carrier of ()
b is Int-like Element of the carrier of ()
(DL,b,b,i) is Element of the InstructionsF of ()
<*DL,b,b,i*> is set
[10,{},<*DL,b,b,i*>] is V1() V2() set
[[10,{}],<*DL,b,b,i*>] is V1() set
{[10,{}],<*DL,b,b,i*>} is non empty set
{{[10,{}],<*DL,b,b,i*>},{[10,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5,k1*> is set
[I,{},<*I3,d4,d5,k1*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5,k1*>] is V1() set
{[I,{}],<*I3,d4,d5,k1*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5,k1*>},{[I,{}]}} is non empty V63() V64() set
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
b is V24() V25() integer ext-real set
i is V24() V25() integer ext-real set
<*k2,a,b,i*> is set
[11,{},<*k2,a,b,i*>] is V1() V2() set
[[11,{}],<*k2,a,b,i*>] is V1() set
{[11,{}],<*k2,a,b,i*>} is non empty set
{{[11,{}],<*k2,a,b,i*>},{[11,{}]}} is non empty V63() V64() set
DL is Int-like Element of the carrier of ()
b is Int-like Element of the carrier of ()
(DL,b,b,i) is Element of the InstructionsF of ()
<*DL,b,b,i*> is set
[11,{},<*DL,b,b,i*>] is V1() V2() set
[[11,{}],<*DL,b,b,i*>] is V1() set
{[11,{}],<*DL,b,b,i*>} is non empty set
{{[11,{}],<*DL,b,b,i*>},{[11,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5,k1*> is set
[I,{},<*I3,d4,d5,k1*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5,k1*>] is V1() set
{[I,{}],<*I3,d4,d5,k1*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5,k1*>},{[I,{}]}} is non empty V63() V64() set
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
b is V24() V25() integer ext-real set
i is V24() V25() integer ext-real set
<*k2,a,b,i*> is set
[12,{},<*k2,a,b,i*>] is V1() V2() set
[[12,{}],<*k2,a,b,i*>] is V1() set
{[12,{}],<*k2,a,b,i*>} is non empty set
{{[12,{}],<*k2,a,b,i*>},{[12,{}]}} is non empty V63() V64() set
DL is Int-like Element of the carrier of ()
b is Int-like Element of the carrier of ()
(DL,b,b,i) is Element of the InstructionsF of ()
<*DL,b,b,i*> is set
[12,{},<*DL,b,b,i*>] is V1() V2() set
[[12,{}],<*DL,b,b,i*>] is V1() set
{[12,{}],<*DL,b,b,i*>} is non empty set
{{[12,{}],<*DL,b,b,i*>},{[12,{}]}} is non empty V63() V64() set
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Element of Segm 15
I3 is Element of SCM-Data-Loc
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*I3,d4,d5,k1*> is set
[I,{},<*I3,d4,d5,k1*>] is V1() V2() set
[I,{}] is V1() set
{I,{}} is non empty set
{I} is non empty set
{{I,{}},{I}} is non empty V63() V64() set
[[I,{}],<*I3,d4,d5,k1*>] is V1() set
{[I,{}],<*I3,d4,d5,k1*>} is non empty set
{[I,{}]} is non empty Relation-like Function-like set
{{[I,{}],<*I3,d4,d5,k1*>},{[I,{}]}} is non empty V63() V64() set
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
b is V24() V25() integer ext-real set
i is V24() V25() integer ext-real set
<*k2,a,b,i*> is set
[13,{},<*k2,a,b,i*>] is V1() V2() set
[[13,{}],<*k2,a,b,i*>] is V1() set
{[13,{}],<*k2,a,b,i*>} is non empty set
{{[13,{}],<*k2,a,b,i*>},{[13,{}]}} is non empty V63() V64() set
DL is Int-like Element of the carrier of ()
b is Int-like Element of the carrier of ()
(DL,b,b,i) is Element of the InstructionsF of ()
<*DL,b,b,i*> is set
[13,{},<*DL,b,b,i*>] is V1() V2() set
[[13,{}],<*DL,b,b,i*>] is V1() set
{[13,{}],<*DL,b,b,i*>} is non empty set
{{[13,{}],<*DL,b,b,i*>},{[13,{}]}} is non empty V63() V64() set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
proj1 i is set
I is Int-like Element of the carrier of ()
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
proj1 i is set
NonZero () is Element of K32( the carrier of ())
K32( the carrier of ()) is set
[#] () is Element of K32( the carrier of ())
{(IC )} is non empty set
([#] ()) \ {(IC )} is Element of K32( the carrier of ())
{NAT} \/ SCM-Data-Loc is non empty set
({NAT} \/ SCM-Data-Loc) \ {NAT} is Element of K32(({NAT} \/ SCM-Data-Loc))
K32(({NAT} \/ SCM-Data-Loc)) is set
SCM-Data-Loc \/ {NAT} is non empty set
(SCM-Data-Loc \/ {NAT}) \ {NAT} is Element of K32((SCM-Data-Loc \/ {NAT}))
K32((SCM-Data-Loc \/ {NAT})) is set
SCM-Data-Loc \ {NAT} is Element of K32(SCM-Memory)
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
DataPart i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible set
i | (NonZero ()) is Relation-like NonZero () -defined the carrier of () -defined Function-like the_Values_of () -compatible set
proj1 (DataPart i) is set
proj1 i is set
i is Int-like Element of the carrier of ()
Values i is set
(the_Values_of ()) . i is set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
I is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC I is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I . (IC ) is set
proj1 i is set
proj1 I is set
I3 is set
{(IC )} \/ SCM-Data-Loc is non empty set
i . I3 is set
I . I3 is set
i . I3 is set
I . I3 is set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,I) is Element of the InstructionsF of ()
<*I3,I*> is set
[2,{},<*I3,I*>] is V1() V2() set
[[2,{}],<*I3,I*>] is V1() set
{[2,{}],<*I3,I*>} is non empty set
{{[2,{}],<*I3,I*>},{[2,{}]}} is non empty V63() V64() set
Exec ((I3,I),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,I)) . i is set
(Exec ((I3,I),i)) . (IC ) is set
(Exec ((I3,I),i)) . I3 is V24() V25() integer ext-real set
d4 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
k1 is Element of SCMPDS-Instr
k1 P21address is Element of K208()
k1 P22const is V24() V25() integer ext-real set
SCM-Chg (d4,(k1 P21address),(k1 P22const)) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(k1 P21address) .--> (k1 P22const) is Relation-like K208() -defined {(k1 P21address)} -defined Function-like one-to-one set
{(k1 P21address)} is non empty set
{(k1 P21address)} --> (k1 P22const) is non empty Relation-like {(k1 P21address)} -defined {(k1 P22const)} -valued Function-like constant V37({(k1 P21address)}) V38({(k1 P21address)},{(k1 P22const)}) Element of K32(K33({(k1 P21address)},{(k1 P22const)}))
{(k1 P22const)} is non empty set
K33({(k1 P21address)},{(k1 P22const)}) is Relation-like set
K32(K33({(k1 P21address)},{(k1 P22const)})) is set
d4 +* ((k1 P21address) .--> (k1 P22const)) is Relation-like Function-like set
a is Element of Segm 15
d5 is Element of SCM-Data-Loc
<*d5,I*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[a,{},<*d5,I*>] is V1() V2() set
[a,{}] is V1() set
{a,{}} is non empty set
{a} is non empty set
{{a,{}},{a}} is non empty V63() V64() set
[[a,{}],<*d5,I*>] is V1() set
{[a,{}],<*d5,I*>} is non empty set
{[a,{}]} is non empty Relation-like Function-like set
{{[a,{}],<*d5,I*>},{[a,{}]}} is non empty V63() V64() set
InsCode k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(k1) is set
K13(K13(k1)) is set
SCM-Exec-Res (k1,d4) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 . NAT is set
succ (IC d4) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d4) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (d4,(k1 P21address),(k1 P22const))),(succ (IC d4))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC d4)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC d4)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC d4))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC d4))}) Element of K32(K33({NAT},{(succ (IC d4))}))
{(succ (IC d4))} is non empty V63() V64() set
K33({NAT},{(succ (IC d4))}) is Relation-like set
K32(K33({NAT},{(succ (IC d4))})) is set
(SCM-Chg (d4,(k1 P21address),(k1 P22const))) +* (NAT .--> (succ (IC d4))) is Relation-like Function-like set
(SCM-Chg (d4,(k1 P21address),(k1 P22const))) . d5 is V24() V25() integer ext-real set
b is Int-like Element of the carrier of ()
(Exec ((I3,I),i)) . b is V24() V25() integer ext-real set
i . b is V24() V25() integer ext-real set
i is Element of SCM-Data-Loc
(SCM-Chg (d4,(k1 P21address),(k1 P22const))) . i is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
(d4,I,I3) is Element of the InstructionsF of ()
<*d4,I,I3*> is set
[7,{},<*d4,I,I3*>] is V1() V2() set
[[7,{}],<*d4,I,I3*>] is V1() set
{[7,{}],<*d4,I,I3*>} is non empty set
{{[7,{}],<*d4,I,I3*>},{[7,{}]}} is non empty V63() V64() set
Exec ((d4,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,I,I3)) . i is set
(Exec ((d4,I,I3),i)) . (IC ) is set
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
(Exec ((d4,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
d5 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
k2 is Element of SCMPDS-Instr
k2 P31address is Element of K208()
k2 P32const is V24() V25() integer ext-real set
Address_Add (d5,(k2 P31address),(k2 P32const)) is Element of SCM-Data-Loc
d5 . (k2 P31address) is V24() V25() integer ext-real set
(d5 . (k2 P31address)) + (k2 P32const) is V24() V25() integer ext-real set
abs ((d5 . (k2 P31address)) + (k2 P32const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d5 . (k2 P31address)) + (k2 P32const)))] is V1() set
{1,(abs ((d5 . (k2 P31address)) + (k2 P32const)))} is non empty set
{{1,(abs ((d5 . (k2 P31address)) + (k2 P32const)))},{1}} is non empty V63() V64() set
k2 P33const is V24() V25() integer ext-real set
SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),(k2 P33const)) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (d5,(k2 P31address),(k2 P32const))) .--> (k2 P33const) is Relation-like SCM-Data-Loc -defined {(Address_Add (d5,(k2 P31address),(k2 P32const)))} -defined Function-like one-to-one set
{(Address_Add (d5,(k2 P31address),(k2 P32const)))} is non empty set
{(Address_Add (d5,(k2 P31address),(k2 P32const)))} --> (k2 P33const) is non empty Relation-like {(Address_Add (d5,(k2 P31address),(k2 P32const)))} -defined {(k2 P33const)} -valued Function-like constant V37({(Address_Add (d5,(k2 P31address),(k2 P32const)))}) V38({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{(k2 P33const)}) Element of K32(K33({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{(k2 P33const)}))
{(k2 P33const)} is non empty set
K33({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{(k2 P33const)}) is Relation-like set
K32(K33({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{(k2 P33const)})) is set
d5 +* ((Address_Add (d5,(k2 P31address),(k2 P32const))) .--> (k2 P33const)) is Relation-like Function-like set
i is Element of Segm 15
k1 is Element of SCM-Data-Loc
<*k1,I,I3*> is set
[i,{},<*k1,I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*k1,I,I3*>] is V1() set
{[i,{}],<*k1,I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*k1,I,I3*>},{[i,{}]}} is non empty V63() V64() set
InsCode k2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(k2) is set
K13(K13(k2)) is set
SCM-Exec-Res (k2,d5) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 . NAT is set
succ (IC d5) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d5) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),(k2 P33const))),(succ (IC d5))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC d5)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC d5)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC d5))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC d5))}) Element of K32(K33({NAT},{(succ (IC d5))}))
{(succ (IC d5))} is non empty V63() V64() set
K33({NAT},{(succ (IC d5))}) is Relation-like set
K32(K33({NAT},{(succ (IC d5))})) is set
(SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),(k2 P33const))) +* (NAT .--> (succ (IC d5))) is Relation-like Function-like set
(SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),(k2 P33const))) . (Address_Add (d5,(k2 P31address),(k2 P32const))) is V24() V25() integer ext-real set
DL is Int-like Element of the carrier of ()
(Exec ((d4,I,I3),i)) . DL is V24() V25() integer ext-real set
i . DL is V24() V25() integer ext-real set
b is Element of SCM-Data-Loc
(SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),(k2 P33const))) . b is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
d5 is Int-like Element of the carrier of ()
(d4,d5,I,I3) is Element of the InstructionsF of ()
<*d4,d5,I,I3*> is set
[13,{},<*d4,d5,I,I3*>] is V1() V2() set
[[13,{}],<*d4,d5,I,I3*>] is V1() set
{[13,{}],<*d4,d5,I,I3*>} is non empty set
{{[13,{}],<*d4,d5,I,I3*>},{[13,{}]}} is non empty V63() V64() set
Exec ((d4,d5,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,d5,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,d5,I,I3)) . i is set
(Exec ((d4,d5,I,I3),i)) . (IC ) is set
(Exec ((d4,d5,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
((i . d5),I3) is Int-like Element of the carrier of ()
(i . d5) + I3 is V24() V25() integer ext-real set
abs ((i . d5) + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d5) + I3))] is V1() set
{1,(abs ((i . d5) + I3))} is non empty set
{{1,(abs ((i . d5) + I3))},{1}} is non empty V63() V64() set
i . ((i . d5),I3) is V24() V25() integer ext-real set
k1 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P41address is Element of K208()
b P43const is V24() V25() integer ext-real set
Address_Add (k1,(b P41address),(b P43const)) is Element of SCM-Data-Loc
k1 . (b P41address) is V24() V25() integer ext-real set
(k1 . (b P41address)) + (b P43const) is V24() V25() integer ext-real set
abs ((k1 . (b P41address)) + (b P43const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P41address)) + (b P43const)))] is V1() set
{1,(abs ((k1 . (b P41address)) + (b P43const)))} is non empty set
{{1,(abs ((k1 . (b P41address)) + (b P43const)))},{1}} is non empty V63() V64() set
b P42address is Element of K208()
b P44const is V24() V25() integer ext-real set
Address_Add (k1,(b P42address),(b P44const)) is Element of SCM-Data-Loc
k1 . (b P42address) is V24() V25() integer ext-real set
(k1 . (b P42address)) + (b P44const) is V24() V25() integer ext-real set
abs ((k1 . (b P42address)) + (b P44const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P42address)) + (b P44const)))] is V1() set
{1,(abs ((k1 . (b P42address)) + (b P44const)))} is non empty set
{{1,(abs ((k1 . (b P42address)) + (b P44const)))},{1}} is non empty V63() V64() set
k1 . (Address_Add (k1,(b P42address),(b P44const))) is V24() V25() integer ext-real set
SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),(k1 . (Address_Add (k1,(b P42address),(b P44const))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (k1,(b P41address),(b P43const))) .--> (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is Relation-like SCM-Data-Loc -defined {(Address_Add (k1,(b P41address),(b P43const)))} -defined Function-like one-to-one set
{(Address_Add (k1,(b P41address),(b P43const)))} is non empty set
{(Address_Add (k1,(b P41address),(b P43const)))} --> (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is non empty Relation-like {(Address_Add (k1,(b P41address),(b P43const)))} -defined {(k1 . (Address_Add (k1,(b P42address),(b P44const))))} -valued Function-like constant V37({(Address_Add (k1,(b P41address),(b P43const)))}) V38({(Address_Add (k1,(b P41address),(b P43const)))},{(k1 . (Address_Add (k1,(b P42address),(b P44const))))}) Element of K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{(k1 . (Address_Add (k1,(b P42address),(b P44const))))}))
{(k1 . (Address_Add (k1,(b P42address),(b P44const))))} is non empty set
K33({(Address_Add (k1,(b P41address),(b P43const)))},{(k1 . (Address_Add (k1,(b P42address),(b P44const))))}) is Relation-like set
K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{(k1 . (Address_Add (k1,(b P42address),(b P44const))))})) is set
k1 +* ((Address_Add (k1,(b P41address),(b P43const))) .--> (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is Relation-like Function-like set
mn is Element of Segm 15
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
<*k2,a,I,I3*> is set
[mn,{},<*k2,a,I,I3*>] is V1() V2() set
[mn,{}] is V1() set
{mn,{}} is non empty set
{mn} is non empty set
{{mn,{}},{mn}} is non empty V63() V64() set
[[mn,{}],<*k2,a,I,I3*>] is V1() set
{[mn,{}],<*k2,a,I,I3*>} is non empty set
{[mn,{}]} is non empty Relation-like Function-like set
{{[mn,{}],<*k2,a,I,I3*>},{[mn,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k1) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 . NAT is set
succ (IC k1) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),(k1 . (Address_Add (k1,(b P42address),(b P44const)))))),(succ (IC k1))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC k1)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC k1)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC k1))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC k1))}) Element of K32(K33({NAT},{(succ (IC k1))}))
{(succ (IC k1))} is non empty V63() V64() set
K33({NAT},{(succ (IC k1))}) is Relation-like set
K32(K33({NAT},{(succ (IC k1))})) is set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),(k1 . (Address_Add (k1,(b P42address),(b P44const)))))) +* (NAT .--> (succ (IC k1))) is Relation-like Function-like set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),(k1 . (Address_Add (k1,(b P42address),(b P44const)))))) . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
i is Int-like Element of the carrier of ()
(Exec ((d4,d5,I,I3),i)) . i is V24() V25() integer ext-real set
i . i is V24() V25() integer ext-real set
Da is Element of SCM-Data-Loc
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),(k1 . (Address_Add (k1,(b P42address),(b P44const)))))) . Da is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
(d4,I,I3) is Element of the InstructionsF of ()
<*d4,I,I3*> is set
[8,{},<*d4,I,I3*>] is V1() V2() set
[[8,{}],<*d4,I,I3*>] is V1() set
{[8,{}],<*d4,I,I3*>} is non empty set
{{[8,{}],<*d4,I,I3*>},{[8,{}]}} is non empty V63() V64() set
Exec ((d4,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,I,I3)) . i is set
(Exec ((d4,I,I3),i)) . (IC ) is set
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
(Exec ((d4,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
i . ((i . d4),I) is V24() V25() integer ext-real set
(i . ((i . d4),I)) + I3 is V24() V25() integer ext-real set
d5 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
k2 is Element of SCMPDS-Instr
k2 P31address is Element of K208()
k2 P32const is V24() V25() integer ext-real set
Address_Add (d5,(k2 P31address),(k2 P32const)) is Element of SCM-Data-Loc
d5 . (k2 P31address) is V24() V25() integer ext-real set
(d5 . (k2 P31address)) + (k2 P32const) is V24() V25() integer ext-real set
abs ((d5 . (k2 P31address)) + (k2 P32const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d5 . (k2 P31address)) + (k2 P32const)))] is V1() set
{1,(abs ((d5 . (k2 P31address)) + (k2 P32const)))} is non empty set
{{1,(abs ((d5 . (k2 P31address)) + (k2 P32const)))},{1}} is non empty V63() V64() set
d5 . (Address_Add (d5,(k2 P31address),(k2 P32const))) is V24() V25() integer ext-real set
k2 P33const is V24() V25() integer ext-real set
(d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const) is V24() V25() integer ext-real set
SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (d5,(k2 P31address),(k2 P32const))) .--> ((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const)) is Relation-like SCM-Data-Loc -defined {(Address_Add (d5,(k2 P31address),(k2 P32const)))} -defined Function-like one-to-one set
{(Address_Add (d5,(k2 P31address),(k2 P32const)))} is non empty set
{(Address_Add (d5,(k2 P31address),(k2 P32const)))} --> ((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const)) is non empty Relation-like {(Address_Add (d5,(k2 P31address),(k2 P32const)))} -defined {((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))} -valued Function-like constant V37({(Address_Add (d5,(k2 P31address),(k2 P32const)))}) V38({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))}) Element of K32(K33({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))}))
{((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))} is non empty set
K33({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))}) is Relation-like set
K32(K33({(Address_Add (d5,(k2 P31address),(k2 P32const)))},{((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))})) is set
d5 +* ((Address_Add (d5,(k2 P31address),(k2 P32const))) .--> ((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const))) is Relation-like Function-like set
i is Element of Segm 15
k1 is Element of SCM-Data-Loc
<*k1,I,I3*> is set
[i,{},<*k1,I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*k1,I,I3*>] is V1() set
{[i,{}],<*k1,I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*k1,I,I3*>},{[i,{}]}} is non empty V63() V64() set
InsCode k2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(k2) is set
K13(K13(k2)) is set
SCM-Exec-Res (k2,d5) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 . NAT is set
succ (IC d5) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d5) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const)))),(succ (IC d5))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC d5)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC d5)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC d5))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC d5))}) Element of K32(K33({NAT},{(succ (IC d5))}))
{(succ (IC d5))} is non empty V63() V64() set
K33({NAT},{(succ (IC d5))}) is Relation-like set
K32(K33({NAT},{(succ (IC d5))})) is set
(SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const)))) +* (NAT .--> (succ (IC d5))) is Relation-like Function-like set
(SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const)))) . (Address_Add (d5,(k2 P31address),(k2 P32const))) is V24() V25() integer ext-real set
DL is Int-like Element of the carrier of ()
(Exec ((d4,I,I3),i)) . DL is V24() V25() integer ext-real set
i . DL is V24() V25() integer ext-real set
b is Element of SCM-Data-Loc
(SCM-Chg (d5,(Address_Add (d5,(k2 P31address),(k2 P32const))),((d5 . (Address_Add (d5,(k2 P31address),(k2 P32const)))) + (k2 P33const)))) . b is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
d5 is Int-like Element of the carrier of ()
(d4,d5,I,I3) is Element of the InstructionsF of ()
<*d4,d5,I,I3*> is set
[9,{},<*d4,d5,I,I3*>] is V1() V2() set
[[9,{}],<*d4,d5,I,I3*>] is V1() set
{[9,{}],<*d4,d5,I,I3*>} is non empty set
{{[9,{}],<*d4,d5,I,I3*>},{[9,{}]}} is non empty V63() V64() set
Exec ((d4,d5,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,d5,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,d5,I,I3)) . i is set
(Exec ((d4,d5,I,I3),i)) . (IC ) is set
(Exec ((d4,d5,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
((i . d5),I3) is Int-like Element of the carrier of ()
(i . d5) + I3 is V24() V25() integer ext-real set
abs ((i . d5) + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d5) + I3))] is V1() set
{1,(abs ((i . d5) + I3))} is non empty set
{{1,(abs ((i . d5) + I3))},{1}} is non empty V63() V64() set
i . ((i . d5),I3) is V24() V25() integer ext-real set
(i . ((i . d4),I)) + (i . ((i . d5),I3)) is V24() V25() integer ext-real set
k1 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P41address is Element of K208()
b P43const is V24() V25() integer ext-real set
Address_Add (k1,(b P41address),(b P43const)) is Element of SCM-Data-Loc
k1 . (b P41address) is V24() V25() integer ext-real set
(k1 . (b P41address)) + (b P43const) is V24() V25() integer ext-real set
abs ((k1 . (b P41address)) + (b P43const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P41address)) + (b P43const)))] is V1() set
{1,(abs ((k1 . (b P41address)) + (b P43const)))} is non empty set
{{1,(abs ((k1 . (b P41address)) + (b P43const)))},{1}} is non empty V63() V64() set
b P42address is Element of K208()
b P44const is V24() V25() integer ext-real set
Address_Add (k1,(b P42address),(b P44const)) is Element of SCM-Data-Loc
k1 . (b P42address) is V24() V25() integer ext-real set
(k1 . (b P42address)) + (b P44const) is V24() V25() integer ext-real set
abs ((k1 . (b P42address)) + (b P44const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P42address)) + (b P44const)))] is V1() set
{1,(abs ((k1 . (b P42address)) + (b P44const)))} is non empty set
{{1,(abs ((k1 . (b P42address)) + (b P44const)))},{1}} is non empty V63() V64() set
k1 . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
k1 . (Address_Add (k1,(b P42address),(b P44const))) is V24() V25() integer ext-real set
(k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is V24() V25() integer ext-real set
SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is Relation-like SCM-Data-Loc -defined {(Address_Add (k1,(b P41address),(b P43const)))} -defined Function-like one-to-one set
{(Address_Add (k1,(b P41address),(b P43const)))} is non empty set
{(Address_Add (k1,(b P41address),(b P43const)))} --> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is non empty Relation-like {(Address_Add (k1,(b P41address),(b P43const)))} -defined {((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} -valued Function-like constant V37({(Address_Add (k1,(b P41address),(b P43const)))}) V38({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) Element of K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}))
{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} is non empty set
K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) is Relation-like set
K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))})) is set
k1 +* ((Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is Relation-like Function-like set
mn is Element of Segm 15
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
<*k2,a,I,I3*> is set
[mn,{},<*k2,a,I,I3*>] is V1() V2() set
[mn,{}] is V1() set
{mn,{}} is non empty set
{mn} is non empty set
{{mn,{}},{mn}} is non empty V63() V64() set
[[mn,{}],<*k2,a,I,I3*>] is V1() set
{[mn,{}],<*k2,a,I,I3*>} is non empty set
{[mn,{}]} is non empty Relation-like Function-like set
{{[mn,{}],<*k2,a,I,I3*>},{[mn,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k1) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 . NAT is set
succ (IC k1) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(succ (IC k1))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC k1)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC k1)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC k1))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC k1))}) Element of K32(K33({NAT},{(succ (IC k1))}))
{(succ (IC k1))} is non empty V63() V64() set
K33({NAT},{(succ (IC k1))}) is Relation-like set
K32(K33({NAT},{(succ (IC k1))})) is set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) +* (NAT .--> (succ (IC k1))) is Relation-like Function-like set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
i is Int-like Element of the carrier of ()
(Exec ((d4,d5,I,I3),i)) . i is V24() V25() integer ext-real set
i . i is V24() V25() integer ext-real set
Da is Element of SCM-Data-Loc
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) + (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . Da is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
d5 is Int-like Element of the carrier of ()
(d4,d5,I,I3) is Element of the InstructionsF of ()
<*d4,d5,I,I3*> is set
[10,{},<*d4,d5,I,I3*>] is V1() V2() set
[[10,{}],<*d4,d5,I,I3*>] is V1() set
{[10,{}],<*d4,d5,I,I3*>} is non empty set
{{[10,{}],<*d4,d5,I,I3*>},{[10,{}]}} is non empty V63() V64() set
Exec ((d4,d5,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,d5,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,d5,I,I3)) . i is set
(Exec ((d4,d5,I,I3),i)) . (IC ) is set
(Exec ((d4,d5,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
((i . d5),I3) is Int-like Element of the carrier of ()
(i . d5) + I3 is V24() V25() integer ext-real set
abs ((i . d5) + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d5) + I3))] is V1() set
{1,(abs ((i . d5) + I3))} is non empty set
{{1,(abs ((i . d5) + I3))},{1}} is non empty V63() V64() set
i . ((i . d5),I3) is V24() V25() integer ext-real set
(i . ((i . d4),I)) - (i . ((i . d5),I3)) is V24() V25() integer ext-real set
k1 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P41address is Element of K208()
b P43const is V24() V25() integer ext-real set
Address_Add (k1,(b P41address),(b P43const)) is Element of SCM-Data-Loc
k1 . (b P41address) is V24() V25() integer ext-real set
(k1 . (b P41address)) + (b P43const) is V24() V25() integer ext-real set
abs ((k1 . (b P41address)) + (b P43const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P41address)) + (b P43const)))] is V1() set
{1,(abs ((k1 . (b P41address)) + (b P43const)))} is non empty set
{{1,(abs ((k1 . (b P41address)) + (b P43const)))},{1}} is non empty V63() V64() set
b P42address is Element of K208()
b P44const is V24() V25() integer ext-real set
Address_Add (k1,(b P42address),(b P44const)) is Element of SCM-Data-Loc
k1 . (b P42address) is V24() V25() integer ext-real set
(k1 . (b P42address)) + (b P44const) is V24() V25() integer ext-real set
abs ((k1 . (b P42address)) + (b P44const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P42address)) + (b P44const)))] is V1() set
{1,(abs ((k1 . (b P42address)) + (b P44const)))} is non empty set
{{1,(abs ((k1 . (b P42address)) + (b P44const)))},{1}} is non empty V63() V64() set
k1 . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
k1 . (Address_Add (k1,(b P42address),(b P44const))) is V24() V25() integer ext-real set
(k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is V24() V25() integer ext-real set
SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is Relation-like SCM-Data-Loc -defined {(Address_Add (k1,(b P41address),(b P43const)))} -defined Function-like one-to-one set
{(Address_Add (k1,(b P41address),(b P43const)))} is non empty set
{(Address_Add (k1,(b P41address),(b P43const)))} --> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is non empty Relation-like {(Address_Add (k1,(b P41address),(b P43const)))} -defined {((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} -valued Function-like constant V37({(Address_Add (k1,(b P41address),(b P43const)))}) V38({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) Element of K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}))
{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} is non empty set
K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) is Relation-like set
K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))})) is set
k1 +* ((Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is Relation-like Function-like set
mn is Element of Segm 15
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
<*k2,a,I,I3*> is set
[mn,{},<*k2,a,I,I3*>] is V1() V2() set
[mn,{}] is V1() set
{mn,{}} is non empty set
{mn} is non empty set
{{mn,{}},{mn}} is non empty V63() V64() set
[[mn,{}],<*k2,a,I,I3*>] is V1() set
{[mn,{}],<*k2,a,I,I3*>} is non empty set
{[mn,{}]} is non empty Relation-like Function-like set
{{[mn,{}],<*k2,a,I,I3*>},{[mn,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k1) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 . NAT is set
succ (IC k1) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(succ (IC k1))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC k1)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC k1)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC k1))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC k1))}) Element of K32(K33({NAT},{(succ (IC k1))}))
{(succ (IC k1))} is non empty V63() V64() set
K33({NAT},{(succ (IC k1))}) is Relation-like set
K32(K33({NAT},{(succ (IC k1))})) is set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) +* (NAT .--> (succ (IC k1))) is Relation-like Function-like set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
i is Int-like Element of the carrier of ()
(Exec ((d4,d5,I,I3),i)) . i is V24() V25() integer ext-real set
i . i is V24() V25() integer ext-real set
Da is Element of SCM-Data-Loc
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) - (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . Da is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
d5 is Int-like Element of the carrier of ()
(d4,d5,I,I3) is Element of the InstructionsF of ()
<*d4,d5,I,I3*> is set
[11,{},<*d4,d5,I,I3*>] is V1() V2() set
[[11,{}],<*d4,d5,I,I3*>] is V1() set
{[11,{}],<*d4,d5,I,I3*>} is non empty set
{{[11,{}],<*d4,d5,I,I3*>},{[11,{}]}} is non empty V63() V64() set
Exec ((d4,d5,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,d5,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,d5,I,I3)) . i is set
(Exec ((d4,d5,I,I3),i)) . (IC ) is set
(Exec ((d4,d5,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
((i . d5),I3) is Int-like Element of the carrier of ()
(i . d5) + I3 is V24() V25() integer ext-real set
abs ((i . d5) + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d5) + I3))] is V1() set
{1,(abs ((i . d5) + I3))} is non empty set
{{1,(abs ((i . d5) + I3))},{1}} is non empty V63() V64() set
i . ((i . d5),I3) is V24() V25() integer ext-real set
(i . ((i . d4),I)) * (i . ((i . d5),I3)) is V24() V25() integer ext-real set
k1 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P41address is Element of K208()
b P43const is V24() V25() integer ext-real set
Address_Add (k1,(b P41address),(b P43const)) is Element of SCM-Data-Loc
k1 . (b P41address) is V24() V25() integer ext-real set
(k1 . (b P41address)) + (b P43const) is V24() V25() integer ext-real set
abs ((k1 . (b P41address)) + (b P43const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P41address)) + (b P43const)))] is V1() set
{1,(abs ((k1 . (b P41address)) + (b P43const)))} is non empty set
{{1,(abs ((k1 . (b P41address)) + (b P43const)))},{1}} is non empty V63() V64() set
b P42address is Element of K208()
b P44const is V24() V25() integer ext-real set
Address_Add (k1,(b P42address),(b P44const)) is Element of SCM-Data-Loc
k1 . (b P42address) is V24() V25() integer ext-real set
(k1 . (b P42address)) + (b P44const) is V24() V25() integer ext-real set
abs ((k1 . (b P42address)) + (b P44const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P42address)) + (b P44const)))] is V1() set
{1,(abs ((k1 . (b P42address)) + (b P44const)))} is non empty set
{{1,(abs ((k1 . (b P42address)) + (b P44const)))},{1}} is non empty V63() V64() set
k1 . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
k1 . (Address_Add (k1,(b P42address),(b P44const))) is V24() V25() integer ext-real set
(k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is V24() V25() integer ext-real set
SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is Relation-like SCM-Data-Loc -defined {(Address_Add (k1,(b P41address),(b P43const)))} -defined Function-like one-to-one set
{(Address_Add (k1,(b P41address),(b P43const)))} is non empty set
{(Address_Add (k1,(b P41address),(b P43const)))} --> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is non empty Relation-like {(Address_Add (k1,(b P41address),(b P43const)))} -defined {((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} -valued Function-like constant V37({(Address_Add (k1,(b P41address),(b P43const)))}) V38({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) Element of K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}))
{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} is non empty set
K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) is Relation-like set
K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))})) is set
k1 +* ((Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is Relation-like Function-like set
mn is Element of Segm 15
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
<*k2,a,I,I3*> is set
[mn,{},<*k2,a,I,I3*>] is V1() V2() set
[mn,{}] is V1() set
{mn,{}} is non empty set
{mn} is non empty set
{{mn,{}},{mn}} is non empty V63() V64() set
[[mn,{}],<*k2,a,I,I3*>] is V1() set
{[mn,{}],<*k2,a,I,I3*>} is non empty set
{[mn,{}]} is non empty Relation-like Function-like set
{{[mn,{}],<*k2,a,I,I3*>},{[mn,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k1) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 . NAT is set
succ (IC k1) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(succ (IC k1))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC k1)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC k1)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC k1))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC k1))}) Element of K32(K33({NAT},{(succ (IC k1))}))
{(succ (IC k1))} is non empty V63() V64() set
K33({NAT},{(succ (IC k1))}) is Relation-like set
K32(K33({NAT},{(succ (IC k1))})) is set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) +* (NAT .--> (succ (IC k1))) is Relation-like Function-like set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
i is Int-like Element of the carrier of ()
(Exec ((d4,d5,I,I3),i)) . i is V24() V25() integer ext-real set
i . i is V24() V25() integer ext-real set
Da is Element of SCM-Data-Loc
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) * (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . Da is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
d5 is Int-like Element of the carrier of ()
(d4,d5,I,I3) is Element of the InstructionsF of ()
<*d4,d5,I,I3*> is set
[12,{},<*d4,d5,I,I3*>] is V1() V2() set
[[12,{}],<*d4,d5,I,I3*>] is V1() set
{[12,{}],<*d4,d5,I,I3*>} is non empty set
{{[12,{}],<*d4,d5,I,I3*>},{[12,{}]}} is non empty V63() V64() set
Exec ((d4,d5,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,d5,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,d5,I,I3)) . i is set
(Exec ((d4,d5,I,I3),i)) . (IC ) is set
i . d5 is V24() V25() integer ext-real set
((i . d5),I3) is Int-like Element of the carrier of ()
(i . d5) + I3 is V24() V25() integer ext-real set
abs ((i . d5) + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d5) + I3))] is V1() set
{1,(abs ((i . d5) + I3))} is non empty set
{{1,(abs ((i . d5) + I3))},{1}} is non empty V63() V64() set
(Exec ((d4,d5,I,I3),i)) . ((i . d4),I) is V24() V25() integer ext-real set
i . ((i . d5),I3) is V24() V25() integer ext-real set
(i . ((i . d4),I)) div (i . ((i . d5),I3)) is V24() V25() integer ext-real set
(Exec ((d4,d5,I,I3),i)) . ((i . d5),I3) is V24() V25() integer ext-real set
(i . ((i . d4),I)) mod (i . ((i . d5),I3)) is V24() V25() integer ext-real set
k1 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P41address is Element of K208()
b P43const is V24() V25() integer ext-real set
Address_Add (k1,(b P41address),(b P43const)) is Element of SCM-Data-Loc
k1 . (b P41address) is V24() V25() integer ext-real set
(k1 . (b P41address)) + (b P43const) is V24() V25() integer ext-real set
abs ((k1 . (b P41address)) + (b P43const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P41address)) + (b P43const)))] is V1() set
{1,(abs ((k1 . (b P41address)) + (b P43const)))} is non empty set
{{1,(abs ((k1 . (b P41address)) + (b P43const)))},{1}} is non empty V63() V64() set
b P42address is Element of K208()
b P44const is V24() V25() integer ext-real set
Address_Add (k1,(b P42address),(b P44const)) is Element of SCM-Data-Loc
k1 . (b P42address) is V24() V25() integer ext-real set
(k1 . (b P42address)) + (b P44const) is V24() V25() integer ext-real set
abs ((k1 . (b P42address)) + (b P44const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k1 . (b P42address)) + (b P44const)))] is V1() set
{1,(abs ((k1 . (b P42address)) + (b P44const)))} is non empty set
{{1,(abs ((k1 . (b P42address)) + (b P44const)))},{1}} is non empty V63() V64() set
k1 . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
k1 . (Address_Add (k1,(b P42address),(b P44const))) is V24() V25() integer ext-real set
(k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is V24() V25() integer ext-real set
SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is Relation-like SCM-Data-Loc -defined {(Address_Add (k1,(b P41address),(b P43const)))} -defined Function-like one-to-one set
{(Address_Add (k1,(b P41address),(b P43const)))} is non empty set
{(Address_Add (k1,(b P41address),(b P43const)))} --> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is non empty Relation-like {(Address_Add (k1,(b P41address),(b P43const)))} -defined {((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} -valued Function-like constant V37({(Address_Add (k1,(b P41address),(b P43const)))}) V38({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) Element of K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}))
{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} is non empty set
K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) is Relation-like set
K32(K33({(Address_Add (k1,(b P41address),(b P43const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))})) is set
k1 +* ((Address_Add (k1,(b P41address),(b P43const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is Relation-like Function-like set
(k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))) is V24() V25() integer ext-real set
SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(Address_Add (k1,(b P42address),(b P44const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (k1,(b P42address),(b P44const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is Relation-like SCM-Data-Loc -defined {(Address_Add (k1,(b P42address),(b P44const)))} -defined Function-like one-to-one set
{(Address_Add (k1,(b P42address),(b P44const)))} is non empty set
{(Address_Add (k1,(b P42address),(b P44const)))} --> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))) is non empty Relation-like {(Address_Add (k1,(b P42address),(b P44const)))} -defined {((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} -valued Function-like constant V37({(Address_Add (k1,(b P42address),(b P44const)))}) V38({(Address_Add (k1,(b P42address),(b P44const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) Element of K32(K33({(Address_Add (k1,(b P42address),(b P44const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}))
{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))} is non empty set
K33({(Address_Add (k1,(b P42address),(b P44const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))}) is Relation-like set
K32(K33({(Address_Add (k1,(b P42address),(b P44const)))},{((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))})) is set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) +* ((Address_Add (k1,(b P42address),(b P44const))) .--> ((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const)))))) is Relation-like Function-like set
i is Element of Segm 15
k2 is Element of SCM-Data-Loc
a is Element of SCM-Data-Loc
<*k2,a,I,I3*> is set
[i,{},<*k2,a,I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*k2,a,I,I3*>] is V1() set
{[i,{}],<*k2,a,I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*k2,a,I,I3*>},{[i,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k1) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 . NAT is set
succ (IC k1) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k1) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(Address_Add (k1,(b P42address),(b P44const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(succ (IC k1))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC k1)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC k1)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC k1))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC k1))}) Element of K32(K33({NAT},{(succ (IC k1))}))
{(succ (IC k1))} is non empty V63() V64() set
K33({NAT},{(succ (IC k1))}) is Relation-like set
K32(K33({NAT},{(succ (IC k1))})) is set
(SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(Address_Add (k1,(b P42address),(b P44const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) +* (NAT .--> (succ (IC k1))) is Relation-like Function-like set
c is Element of SCM-Data-Loc
(SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(Address_Add (k1,(b P42address),(b P44const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . c is V24() V25() integer ext-real set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . (Address_Add (k1,(b P41address),(b P43const))) is V24() V25() integer ext-real set
(SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(Address_Add (k1,(b P42address),(b P44const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . (Address_Add (k1,(b P42address),(b P44const))) is V24() V25() integer ext-real set
c is Int-like Element of the carrier of ()
(Exec ((d4,d5,I,I3),i)) . c is V24() V25() integer ext-real set
i . c is V24() V25() integer ext-real set
mn is Element of SCM-Data-Loc
(SCM-Chg ((SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))),(Address_Add (k1,(b P42address),(b P44const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) mod (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . mn is V24() V25() integer ext-real set
(SCM-Chg (k1,(Address_Add (k1,(b P41address),(b P43const))),((k1 . (Address_Add (k1,(b P41address),(b P43const)))) div (k1 . (Address_Add (k1,(b P42address),(b P44const))))))) . mn is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
I is V24() V25() integer ext-real set
(I3,I3,I,I) is Element of the InstructionsF of ()
<*I3,I3,I,I*> is set
[12,{},<*I3,I3,I,I*>] is V1() V2() set
[[12,{}],<*I3,I3,I,I*>] is V1() set
{[12,{}],<*I3,I3,I,I*>} is non empty set
{{[12,{}],<*I3,I3,I,I*>},{[12,{}]}} is non empty V63() V64() set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,I3,I,I),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,I3,I,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,I3,I,I)) . i is set
(Exec ((I3,I3,I,I),i)) . (IC ) is set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 is Int-like Element of the carrier of ()
d5 is V24() V25() integer ext-real set
(k1,k1,d5,d5) is Element of the InstructionsF of ()
<*k1,k1,d5,d5*> is set
[12,{},<*k1,k1,d5,d5*>] is V1() V2() set
[[12,{}],<*k1,k1,d5,d5*>] is V1() set
{[12,{}],<*k1,k1,d5,d5*>} is non empty set
{{[12,{}],<*k1,k1,d5,d5*>},{[12,{}]}} is non empty V63() V64() set
d4 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((k1,k1,d5,d5),d4) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
the Execution of () . (k1,k1,d5,d5) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (k1,k1,d5,d5)) . d4 is set
d4 . k1 is V24() V25() integer ext-real set
((d4 . k1),d5) is Int-like Element of the carrier of ()
(d4 . k1) + d5 is V24() V25() integer ext-real set
abs ((d4 . k1) + d5) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d4 . k1) + d5))] is V1() set
{1,(abs ((d4 . k1) + d5))} is non empty set
{{1,(abs ((d4 . k1) + d5))},{1}} is non empty V63() V64() set
(Exec ((k1,k1,d5,d5),d4)) . ((d4 . k1),d5) is V24() V25() integer ext-real set
d4 . ((d4 . k1),d5) is V24() V25() integer ext-real set
(d4 . ((d4 . k1),d5)) mod (d4 . ((d4 . k1),d5)) is V24() V25() integer ext-real set
i is Int-like Element of the carrier of ()
k2 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
b is Int-like Element of the carrier of ()
k2 . b is V24() V25() integer ext-real set
a is V24() V25() integer ext-real set
((k2 . b),a) is Int-like Element of the carrier of ()
(k2 . b) + a is V24() V25() integer ext-real set
abs ((k2 . b) + a) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k2 . b) + a))] is V1() set
{1,(abs ((k2 . b) + a))} is non empty set
{{1,(abs ((k2 . b) + a))},{1}} is non empty V63() V64() set
(b,b,a,a) is Element of the InstructionsF of ()
<*b,b,a,a*> is set
[12,{},<*b,b,a,a*>] is V1() V2() set
[[12,{}],<*b,b,a,a*>] is V1() set
{[12,{}],<*b,b,a,a*>} is non empty set
{{[12,{}],<*b,b,a,a*>},{[12,{}]}} is non empty V63() V64() set
Exec ((b,b,a,a),k2) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
the Execution of () . (b,b,a,a) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (b,b,a,a)) . k2 is set
(Exec ((b,b,a,a),k2)) . i is V24() V25() integer ext-real set
k2 . i is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
I is V24() V25() integer ext-real set
I3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 + I is V24() V25() integer ext-real set
abs (d4 + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 + I is V24() V25() integer ext-real set
abs (d5 + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 + I is V24() V25() integer ext-real set
abs (k1 + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
I is V24() V25() integer ext-real set
(I) is Element of the InstructionsF of ()
<*I*> is Relation-like Function-like set
[14,{},<*I*>] is V1() V2() set
[[14,{}],<*I*>] is V1() set
{[14,{}],<*I*>} is non empty set
{{[14,{}],<*I*>},{[14,{}]}} is non empty V63() V64() set
Exec ((I),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I)) . i is set
(Exec ((I),i)) . (IC ) is set
(i,I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is Element of SCMPDS-Instr
I3 is Element of Segm 15
[I3,{},<*I*>] is V1() V2() set
[I3,{}] is V1() set
{I3,{}} is non empty set
{I3} is non empty set
{{I3,{}},{I3}} is non empty V63() V64() set
[[I3,{}],<*I*>] is V1() set
{[I3,{}],<*I*>} is non empty set
{[I3,{}]} is non empty Relation-like Function-like set
{{[I3,{}],<*I*>},{[I3,{}]}} is non empty V63() V64() set
d4 const_INT is V24() V25() integer ext-real set
InsCode d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(d4) is set
K13(K13(d4)) is set
d5 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
SCM-Exec-Res (d4,d5) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
jump_address (d5,(d4 const_INT)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IC d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 . NAT is set
(IC d5) + (d4 const_INT) is V24() V25() integer ext-real set
abs ((IC d5) + (d4 const_INT)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg (d5,(jump_address (d5,(d4 const_INT)))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (jump_address (d5,(d4 const_INT))) is Relation-like {NAT} -defined NAT -valued Function-like one-to-one set
{NAT} --> (jump_address (d5,(d4 const_INT))) is non empty Relation-like {NAT} -defined NAT -valued {(jump_address (d5,(d4 const_INT)))} -valued Function-like constant V37({NAT}) V38({NAT},{(jump_address (d5,(d4 const_INT)))}) Element of K32(K33({NAT},{(jump_address (d5,(d4 const_INT)))}))
{(jump_address (d5,(d4 const_INT)))} is non empty set
K33({NAT},{(jump_address (d5,(d4 const_INT)))}) is Relation-like set
K32(K33({NAT},{(jump_address (d5,(d4 const_INT)))})) is set
d5 +* (NAT .--> (jump_address (d5,(d4 const_INT)))) is Relation-like Function-like set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
k1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 + I is V24() V25() integer ext-real set
abs (k1 + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 is Int-like Element of the carrier of ()
(Exec ((I),i)) . k1 is V24() V25() integer ext-real set
i . k1 is V24() V25() integer ext-real set
k2 is Element of SCM-Data-Loc
d5 . k2 is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
(i,I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
(d4,I,I3) is Element of the InstructionsF of ()
<*d4,I,I3*> is set
[4,{},<*d4,I,I3*>] is V1() V2() set
[[4,{}],<*d4,I,I3*>] is V1() set
{[4,{}],<*d4,I,I3*>} is non empty set
{{[4,{}],<*d4,I,I3*>},{[4,{}]}} is non empty V63() V64() set
Exec ((d4,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,I,I3)) . i is set
(Exec ((d4,I,I3),i)) . (IC ) is set
d5 is Int-like Element of the carrier of ()
(Exec ((d4,I,I3),i)) . d5 is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
k2 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P31address is Element of K208()
b P32const is V24() V25() integer ext-real set
Address_Add (k2,(b P31address),(b P32const)) is Element of SCM-Data-Loc
k2 . (b P31address) is V24() V25() integer ext-real set
(k2 . (b P31address)) + (b P32const) is V24() V25() integer ext-real set
abs ((k2 . (b P31address)) + (b P32const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k2 . (b P31address)) + (b P32const)))] is V1() set
{1,(abs ((k2 . (b P31address)) + (b P32const)))} is non empty set
{{1,(abs ((k2 . (b P31address)) + (b P32const)))},{1}} is non empty V63() V64() set
b P33const is V24() V25() integer ext-real set
jump_address (k2,(b P33const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IC k2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k2 . NAT is set
(IC k2) + (b P33const) is V24() V25() integer ext-real set
abs ((IC k2) + (b P33const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k2 . (Address_Add (k2,(b P31address),(b P32const))) is V24() V25() integer ext-real set
succ (IC k2) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is Element of Segm 15
a is Element of SCM-Data-Loc
<*a,I,I3*> is set
[i,{},<*a,I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*a,I,I3*>] is V1() set
{[i,{}],<*a,I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*a,I,I3*>},{[i,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k2) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
SCM-Chg (k2,(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const))))) is Relation-like {NAT} -defined NAT -valued Function-like one-to-one set
{NAT} --> (IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const))))) is non empty Relation-like {NAT} -defined NAT -valued {(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))} -valued Function-like constant V37({NAT}) V38({NAT},{(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))}) Element of K32(K33({NAT},{(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))}))
{(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))} is non empty set
K33({NAT},{(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))}) is Relation-like set
K32(K33({NAT},{(IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))})) is set
k2 +* (NAT .--> (IFEQ ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))) is Relation-like Function-like set
Da is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
Da + I3 is V24() V25() integer ext-real set
abs (Da + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 is Element of SCM-Data-Loc
k2 . k1 is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
(i,I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
(d4,I,I3) is Element of the InstructionsF of ()
<*d4,I,I3*> is set
[5,{},<*d4,I,I3*>] is V1() V2() set
[[5,{}],<*d4,I,I3*>] is V1() set
{[5,{}],<*d4,I,I3*>} is non empty set
{{[5,{}],<*d4,I,I3*>},{[5,{}]}} is non empty V63() V64() set
Exec ((d4,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,I,I3)) . i is set
(Exec ((d4,I,I3),i)) . (IC ) is set
d5 is Int-like Element of the carrier of ()
(Exec ((d4,I,I3),i)) . d5 is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
k2 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P31address is Element of K208()
b P32const is V24() V25() integer ext-real set
Address_Add (k2,(b P31address),(b P32const)) is Element of SCM-Data-Loc
k2 . (b P31address) is V24() V25() integer ext-real set
(k2 . (b P31address)) + (b P32const) is V24() V25() integer ext-real set
abs ((k2 . (b P31address)) + (b P32const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k2 . (b P31address)) + (b P32const)))] is V1() set
{1,(abs ((k2 . (b P31address)) + (b P32const)))} is non empty set
{{1,(abs ((k2 . (b P31address)) + (b P32const)))},{1}} is non empty V63() V64() set
b P33const is V24() V25() integer ext-real set
jump_address (k2,(b P33const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IC k2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k2 . NAT is set
(IC k2) + (b P33const) is V24() V25() integer ext-real set
abs ((IC k2) + (b P33const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k2 . (Address_Add (k2,(b P31address),(b P32const))) is V24() V25() integer ext-real set
succ (IC k2) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
i is Element of Segm 15
a is Element of SCM-Data-Loc
<*a,I,I3*> is set
[i,{},<*a,I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*a,I,I3*>] is V1() set
{[i,{}],<*a,I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*a,I,I3*>},{[i,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k2) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
SCM-Chg (k2,(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const))))) is Relation-like {NAT} -defined Function-like one-to-one set
{NAT} --> (IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const))))) is non empty Relation-like {NAT} -defined {(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))} -valued Function-like constant V37({NAT}) V38({NAT},{(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))}) Element of K32(K33({NAT},{(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))}))
{(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))} is non empty set
K33({NAT},{(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))}) is Relation-like set
K32(K33({NAT},{(IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))})) is set
k2 +* (NAT .--> (IFGT ((k2 . (Address_Add (k2,(b P31address),(b P32const)))),0,(succ (IC k2)),(jump_address (k2,(b P33const)))))) is Relation-like Function-like set
Da is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
Da + I3 is V24() V25() integer ext-real set
abs (Da + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 is Element of SCM-Data-Loc
k2 . k1 is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is V24() V25() integer ext-real set
(i,I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is Int-like Element of the carrier of ()
i . d4 is V24() V25() integer ext-real set
((i . d4),I) is Int-like Element of the carrier of ()
(i . d4) + I is V24() V25() integer ext-real set
abs ((i . d4) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . d4) + I))] is V1() set
{1,(abs ((i . d4) + I))} is non empty set
{{1,(abs ((i . d4) + I))},{1}} is non empty V63() V64() set
i . ((i . d4),I) is V24() V25() integer ext-real set
(d4,I,I3) is Element of the InstructionsF of ()
<*d4,I,I3*> is set
[6,{},<*d4,I,I3*>] is V1() V2() set
[[6,{}],<*d4,I,I3*>] is V1() set
{[6,{}],<*d4,I,I3*>} is non empty set
{{[6,{}],<*d4,I,I3*>},{[6,{}]}} is non empty V63() V64() set
Exec ((d4,I,I3),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (d4,I,I3) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (d4,I,I3)) . i is set
(Exec ((d4,I,I3),i)) . (IC ) is set
d5 is Int-like Element of the carrier of ()
(Exec ((d4,I,I3),i)) . d5 is V24() V25() integer ext-real set
i . d5 is V24() V25() integer ext-real set
k2 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
b is Element of SCMPDS-Instr
b P31address is Element of K208()
b P32const is V24() V25() integer ext-real set
Address_Add (k2,(b P31address),(b P32const)) is Element of SCM-Data-Loc
k2 . (b P31address) is V24() V25() integer ext-real set
(k2 . (b P31address)) + (b P32const) is V24() V25() integer ext-real set
abs ((k2 . (b P31address)) + (b P32const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((k2 . (b P31address)) + (b P32const)))] is V1() set
{1,(abs ((k2 . (b P31address)) + (b P32const)))} is non empty set
{{1,(abs ((k2 . (b P31address)) + (b P32const)))},{1}} is non empty V63() V64() set
b P33const is V24() V25() integer ext-real set
jump_address (k2,(b P33const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IC k2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k2 . NAT is set
(IC k2) + (b P33const) is V24() V25() integer ext-real set
abs ((IC k2) + (b P33const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k2 . (Address_Add (k2,(b P31address),(b P32const))) is V24() V25() integer ext-real set
succ (IC k2) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC k2) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real set
i is Element of Segm 15
a is Element of SCM-Data-Loc
<*a,I,I3*> is set
[i,{},<*a,I,I3*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*a,I,I3*>] is V1() set
{[i,{}],<*a,I,I3*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*a,I,I3*>},{[i,{}]}} is non empty V63() V64() set
InsCode b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(b) is set
K13(K13(b)) is set
SCM-Exec-Res (b,k2) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
SCM-Chg (k2,(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const))))) is Relation-like {NAT} -defined Function-like one-to-one set
{NAT} --> (IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const))))) is non empty Relation-like {NAT} -defined {(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))} -valued Function-like constant V37({NAT}) V38({NAT},{(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))}) Element of K32(K33({NAT},{(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))}))
{(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))} is non empty set
K33({NAT},{(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))}) is Relation-like set
K32(K33({NAT},{(IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))})) is set
k2 +* (NAT .--> (IFGT (0,(k2 . (Address_Add (k2,(b P31address),(b P32const)))),(succ (IC k2)),(jump_address (k2,(b P33const)))))) is Relation-like Function-like set
Da is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
Da + I3 is V24() V25() integer ext-real set
abs (Da + I3) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
k1 is Element of SCM-Data-Loc
k2 . k1 is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
I is Int-like Element of the carrier of ()
(I) is Element of the InstructionsF of ()
<*I*> is Relation-like Function-like set
[1,{},<*I*>] is V1() V2() set
[[1,{}],<*I*>] is V1() set
{[1,{}],<*I*>} is non empty set
{{[1,{}],<*I*>},{[1,{}]}} is non empty V63() V64() set
Exec ((I),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I)) . i is set
(Exec ((I),i)) . (IC ) is set
i . I is V24() V25() integer ext-real set
((i . I),RetIC) is Int-like Element of the carrier of ()
(i . I) + RetIC is V24() V25() integer ext-real set
abs ((i . I) + RetIC) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . I) + RetIC))] is V1() set
{1,(abs ((i . I) + RetIC))} is non empty set
{{1,(abs ((i . I) + RetIC))},{1}} is non empty V63() V64() set
i . ((i . I),RetIC) is V24() V25() integer ext-real set
abs (i . ((i . I),RetIC)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs (i . ((i . I),RetIC))) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(Exec ((I),i)) . I is V24() V25() integer ext-real set
((i . I),RetSP) is Int-like Element of the carrier of ()
(i . I) + RetSP is V24() V25() integer ext-real set
abs ((i . I) + RetSP) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . I) + RetSP))] is V1() set
{1,(abs ((i . I) + RetSP))} is non empty set
{{1,(abs ((i . I) + RetSP))},{1}} is non empty V63() V64() set
i . ((i . I),RetSP) is V24() V25() integer ext-real set
I3 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
d5 is Element of SCMPDS-Instr
d5 address_1 is Element of K208()
Address_Add (I3,(d5 address_1),RetSP) is Element of SCM-Data-Loc
I3 . (d5 address_1) is V24() V25() integer ext-real set
(I3 . (d5 address_1)) + RetSP is V24() V25() integer ext-real set
abs ((I3 . (d5 address_1)) + RetSP) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((I3 . (d5 address_1)) + RetSP))] is V1() set
{1,(abs ((I3 . (d5 address_1)) + RetSP))} is non empty set
{{1,(abs ((I3 . (d5 address_1)) + RetSP))},{1}} is non empty V63() V64() set
I3 . (Address_Add (I3,(d5 address_1),RetSP)) is V24() V25() integer ext-real set
SCM-Chg (I3,(d5 address_1),(I3 . (Address_Add (I3,(d5 address_1),RetSP)))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(d5 address_1) .--> (I3 . (Address_Add (I3,(d5 address_1),RetSP))) is Relation-like K208() -defined {(d5 address_1)} -defined Function-like one-to-one set
{(d5 address_1)} is non empty set
{(d5 address_1)} --> (I3 . (Address_Add (I3,(d5 address_1),RetSP))) is non empty Relation-like {(d5 address_1)} -defined {(I3 . (Address_Add (I3,(d5 address_1),RetSP)))} -valued Function-like constant V37({(d5 address_1)}) V38({(d5 address_1)},{(I3 . (Address_Add (I3,(d5 address_1),RetSP)))}) Element of K32(K33({(d5 address_1)},{(I3 . (Address_Add (I3,(d5 address_1),RetSP)))}))
{(I3 . (Address_Add (I3,(d5 address_1),RetSP)))} is non empty set
K33({(d5 address_1)},{(I3 . (Address_Add (I3,(d5 address_1),RetSP)))}) is Relation-like set
K32(K33({(d5 address_1)},{(I3 . (Address_Add (I3,(d5 address_1),RetSP)))})) is set
I3 +* ((d5 address_1) .--> (I3 . (Address_Add (I3,(d5 address_1),RetSP)))) is Relation-like Function-like set
Address_Add (I3,(d5 address_1),RetIC) is Element of SCM-Data-Loc
(I3 . (d5 address_1)) + RetIC is V24() V25() integer ext-real set
abs ((I3 . (d5 address_1)) + RetIC) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((I3 . (d5 address_1)) + RetIC))] is V1() set
{1,(abs ((I3 . (d5 address_1)) + RetIC))} is non empty set
{{1,(abs ((I3 . (d5 address_1)) + RetIC))},{1}} is non empty V63() V64() set
PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I3 . (Address_Add (I3,(d5 address_1),RetIC)) is V24() V25() integer ext-real set
abs (I3 . (Address_Add (I3,(d5 address_1),RetIC))) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs (I3 . (Address_Add (I3,(d5 address_1),RetIC)))) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is Element of Segm 15
d4 is Element of SCM-Data-Loc
<*d4*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc
[i,{},<*d4*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*d4*>] is V1() set
{[i,{}],<*d4*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*d4*>},{[i,{}]}} is non empty V63() V64() set
InsCode d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(d5) is set
K13(K13(d5)) is set
SCM-Exec-Res (d5,I3) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
SCM-Chg ((SCM-Chg (I3,(d5 address_1),(I3 . (Address_Add (I3,(d5 address_1),RetSP))))),(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC)))) is Relation-like {NAT} -defined NAT -valued Function-like one-to-one set
{NAT} --> (PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC)))) is non empty Relation-like {NAT} -defined NAT -valued {(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))} -valued Function-like constant V37({NAT}) V38({NAT},{(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))}) Element of K32(K33({NAT},{(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))}))
{(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))} is non empty set
K33({NAT},{(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))}) is Relation-like set
K32(K33({NAT},{(PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))})) is set
(SCM-Chg (I3,(d5 address_1),(I3 . (Address_Add (I3,(d5 address_1),RetSP))))) +* (NAT .--> (PopInstrLoc (I3,(Address_Add (I3,(d5 address_1),RetIC))))) is Relation-like Function-like set
(SCM-Chg (I3,(d5 address_1),(I3 . (Address_Add (I3,(d5 address_1),RetSP))))) . d4 is V24() V25() integer ext-real set
DL is Int-like Element of the carrier of ()
(Exec ((I),i)) . DL is V24() V25() integer ext-real set
i . DL is V24() V25() integer ext-real set
b is Element of SCM-Data-Loc
(SCM-Chg (I3,(d5 address_1),(I3 . (Address_Add (I3,(d5 address_1),RetSP))))) . b is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
IC i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i . (IC ) is set
succ (IC i) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,I) is Element of the InstructionsF of ()
<*I3,I*> is set
[3,{},<*I3,I*>] is V1() V2() set
[[3,{}],<*I3,I*>] is V1() set
{[3,{}],<*I3,I*>} is non empty set
{{[3,{}],<*I3,I*>},{[3,{}]}} is non empty V63() V64() set
Exec ((I3,I),i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,I)) . i is set
(Exec ((I3,I),i)) . (IC ) is set
i . I3 is V24() V25() integer ext-real set
((i . I3),I) is Int-like Element of the carrier of ()
(i . I3) + I is V24() V25() integer ext-real set
abs ((i . I3) + I) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((i . I3) + I))] is V1() set
{1,(abs ((i . I3) + I))} is non empty set
{{1,(abs ((i . I3) + I))},{1}} is non empty V63() V64() set
(Exec ((I3,I),i)) . ((i . I3),I) is V24() V25() integer ext-real set
d4 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
IC d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 . NAT is set
k2 is Element of SCMPDS-Instr
k2 P21address is Element of K208()
k2 P22const is V24() V25() integer ext-real set
Address_Add (d4,(k2 P21address),(k2 P22const)) is Element of SCM-Data-Loc
d4 . (k2 P21address) is V24() V25() integer ext-real set
(d4 . (k2 P21address)) + (k2 P22const) is V24() V25() integer ext-real set
abs ((d4 . (k2 P21address)) + (k2 P22const)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d4 . (k2 P21address)) + (k2 P22const)))] is V1() set
{1,(abs ((d4 . (k2 P21address)) + (k2 P22const)))} is non empty set
{{1,(abs ((d4 . (k2 P21address)) + (k2 P22const)))},{1}} is non empty V63() V64() set
d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg (d4,(Address_Add (d4,(k2 P21address),(k2 P22const))),d5) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
(Address_Add (d4,(k2 P21address),(k2 P22const))) .--> d5 is Relation-like SCM-Data-Loc -defined {(Address_Add (d4,(k2 P21address),(k2 P22const)))} -defined NAT -valued Function-like one-to-one set
{(Address_Add (d4,(k2 P21address),(k2 P22const)))} is non empty set
{(Address_Add (d4,(k2 P21address),(k2 P22const)))} --> d5 is non empty Relation-like {(Address_Add (d4,(k2 P21address),(k2 P22const)))} -defined NAT -valued {d5} -valued Function-like constant V37({(Address_Add (d4,(k2 P21address),(k2 P22const)))}) V38({(Address_Add (d4,(k2 P21address),(k2 P22const)))},{d5}) Element of K32(K33({(Address_Add (d4,(k2 P21address),(k2 P22const)))},{d5}))
{d5} is non empty set
K33({(Address_Add (d4,(k2 P21address),(k2 P22const)))},{d5}) is Relation-like set
K32(K33({(Address_Add (d4,(k2 P21address),(k2 P22const)))},{d5})) is set
d4 +* ((Address_Add (d4,(k2 P21address),(k2 P22const))) .--> d5) is Relation-like Function-like set
i is Element of Segm 15
k1 is Element of SCM-Data-Loc
<*k1,I*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[i,{},<*k1,I*>] is V1() V2() set
[i,{}] is V1() set
{i,{}} is non empty set
{i} is non empty set
{{i,{}},{i}} is non empty V63() V64() set
[[i,{}],<*k1,I*>] is V1() set
{[i,{}],<*k1,I*>} is non empty set
{[i,{}]} is non empty Relation-like Function-like set
{{[i,{}],<*k1,I*>},{[i,{}]}} is non empty V63() V64() set
InsCode k2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes SCMPDS-Instr
InsCodes SCMPDS-Instr is non empty set
K23(SCMPDS-Instr) is set
proj1 SCMPDS-Instr is non empty set
proj1 (proj1 SCMPDS-Instr) is set
K13(k2) is set
K13(K13(k2)) is set
SCM-Exec-Res (k2,d4) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
succ (IC d4) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d4) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
SCM-Chg ((SCM-Chg (d4,(Address_Add (d4,(k2 P21address),(k2 P22const))),d5)),(succ (IC d4))) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> (succ (IC d4)) is Relation-like {NAT} -defined omega -valued Function-like one-to-one set
{NAT} --> (succ (IC d4)) is non empty Relation-like non-empty non empty-yielding {NAT} -defined omega -valued {(succ (IC d4))} -valued Function-like constant V37({NAT}) V38({NAT},{(succ (IC d4))}) Element of K32(K33({NAT},{(succ (IC d4))}))
{(succ (IC d4))} is non empty V63() V64() set
K33({NAT},{(succ (IC d4))}) is Relation-like set
K32(K33({NAT},{(succ (IC d4))})) is set
(SCM-Chg (d4,(Address_Add (d4,(k2 P21address),(k2 P22const))),d5)) +* (NAT .--> (succ (IC d4))) is Relation-like Function-like set
(SCM-Chg (d4,(Address_Add (d4,(k2 P21address),(k2 P22const))),d5)) . (Address_Add (d4,(k2 P21address),(k2 P22const))) is V24() V25() integer ext-real set
b is Int-like Element of the carrier of ()
(Exec ((I3,I),i)) . b is V24() V25() integer ext-real set
i . b is V24() V25() integer ext-real set
mn is Element of SCM-Data-Loc
(SCM-Chg (d4,(Address_Add (d4,(k2 P21address),(k2 P22const))),d5)) . mn is V24() V25() integer ext-real set
the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL)) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
I3 is V24() V25() integer ext-real set
proj1 the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL)) is non empty set
proj1 (the_Values_of ()) is set
K33(SCM-Data-Loc,INT) is Relation-like set
K32(K33(SCM-Data-Loc,INT)) is set
SCM-Data-Loc --> I3 is non empty Relation-like SCM-Data-Loc -defined {I3} -valued Function-like constant V37( SCM-Data-Loc ) V38( SCM-Data-Loc ,{I3}) Element of K32(K33(SCM-Data-Loc,{I3}))
{I3} is non empty set
K33(SCM-Data-Loc,{I3}) is Relation-like set
K32(K33(SCM-Data-Loc,{I3})) is set
d4 is Relation-like SCM-Data-Loc -defined INT -valued Function-like V38( SCM-Data-Loc , INT ) Element of K32(K33(SCM-Data-Loc,INT))
the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL)) +* d4 is Relation-like Function-like set
k1 is set
( the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL)) +* d4) . k1 is set
(the_Values_of ()) . k1 is set
proj1 d4 is set
d4 . k1 is set
proj1 d4 is set
the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL)) . k1 is set
proj1 d4 is set
proj1 ( the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL)) +* d4) is set
proj1 d4 is set
(proj1 the non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))) \/ (proj1 d4) is non empty set
SCM-Memory \/ (proj1 d4) is non empty set
SCM-Memory \/ SCM-Data-Loc is non empty set
k1 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
k2 is Int-like Element of the carrier of ()
k1 . k2 is V24() V25() integer ext-real set
a is Element of SCM-Data-Loc
d4 . a is V24() V25() integer ext-real Element of INT
I is V24() V25() integer ext-real set
I3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
proj1 (the_Values_of ()) is set
d4 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
d5 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
NAT .--> I3 is Relation-like {NAT} -defined NAT -valued Function-like one-to-one set
{NAT} --> I3 is non empty Relation-like {NAT} -defined NAT -valued {I3} -valued Function-like constant V37({NAT}) V38({NAT},{I3}) Element of K32(K33({NAT},{I3}))
{I3} is non empty set
K33({NAT},{I3}) is Relation-like set
K32(K33({NAT},{I3})) is set
d5 +* (NAT .--> I3) is Relation-like Function-like set
proj1 d5 is non empty set
proj1 (NAT .--> I3) is set
(d5 +* (NAT .--> I3)) . NAT is set
(NAT .--> I3) . NAT is set
k2 is set
(d5 +* (NAT .--> I3)) . k2 is set
(the_Values_of ()) . k2 is set
d5 . k2 is set
proj1 (d5 +* (NAT .--> I3)) is set
(proj1 d5) \/ (proj1 (NAT .--> I3)) is non empty set
SCM-Memory \/ (proj1 (NAT .--> I3)) is non empty set
SCM-Memory \/ {NAT} is non empty set
k2 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
k2 . NAT is set
a is Int-like Element of the carrier of ()
b is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,b] is V1() set
{1,b} is non empty set
{{1,b},{1}} is non empty V63() V64() set
k2 . a is V24() V25() integer ext-real set
d4 . a is V24() V25() integer ext-real set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
I is Element of the InstructionsF of ()
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(I) is set
K13(K13(I)) is set
Exec (I,i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . I is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . I) . i is set
SCMPDS-Exec . I is Relation-like Function-like set
(SCMPDS-Exec . I) . i is set
d4 is Element of SCMPDS-Instr
I3 is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
SCM-Exec-Res (d4,I3) is non empty Relation-like SCM-Memory -defined Function-like SCM-OK * SCM-VAL -compatible V37( SCM-Memory ) Element of K191((SCM-OK * SCM-VAL))
i is Element of the InstructionsF of ()
InsCode i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(i) is set
K13(K13(i)) is set
I is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec (i,I) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . i is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . i) . I is set
i is Element of the InstructionsF of ()
I is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec (i,I) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . i is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . i) . I is set
(Exec (i,I)) . (IC ) is set
IC I is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I . (IC ) is set
succ (IC I) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC I) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I . NAT is set
i is V24() V25() integer ext-real set
I is Int-like Element of the carrier of ()
(I,i) is Element of the InstructionsF of ()
<*I,i*> is set
[2,{},<*I,i*>] is V1() V2() set
[[2,{}],<*I,i*>] is V1() set
{[2,{}],<*I,i*>} is non empty set
{{[2,{}],<*I,i*>},{[2,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I,i), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I,i) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I,i)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I,i), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[7,{},<*I3,i,I*>] is V1() V2() set
[[7,{}],<*I3,i,I*>] is V1() set
{[7,{}],<*I3,i,I*>} is non empty set
{{[7,{}],<*I3,i,I*>},{[7,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[13,{},<*I3,d4,i,I*>] is V1() V2() set
[[13,{}],<*I3,d4,i,I*>] is V1() set
{[13,{}],<*I3,d4,i,I*>} is non empty set
{{[13,{}],<*I3,d4,i,I*>},{[13,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,d4,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,d4,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[8,{},<*I3,i,I*>] is V1() V2() set
[[8,{}],<*I3,i,I*>] is V1() set
{[8,{}],<*I3,i,I*>} is non empty set
{{[8,{}],<*I3,i,I*>},{[8,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[9,{},<*I3,d4,i,I*>] is V1() V2() set
[[9,{}],<*I3,d4,i,I*>] is V1() set
{[9,{}],<*I3,d4,i,I*>} is non empty set
{{[9,{}],<*I3,d4,i,I*>},{[9,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,d4,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,d4,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[10,{},<*I3,d4,i,I*>] is V1() V2() set
[[10,{}],<*I3,d4,i,I*>] is V1() set
{[10,{}],<*I3,d4,i,I*>} is non empty set
{{[10,{}],<*I3,d4,i,I*>},{[10,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,d4,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,d4,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[11,{},<*I3,d4,i,I*>] is V1() V2() set
[[11,{}],<*I3,d4,i,I*>] is V1() set
{[11,{}],<*I3,d4,i,I*>} is non empty set
{{[11,{}],<*I3,d4,i,I*>},{[11,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,d4,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,d4,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
d4 is Int-like Element of the carrier of ()
(I3,d4,i,I) is Element of the InstructionsF of ()
<*I3,d4,i,I*> is set
[12,{},<*I3,d4,i,I*>] is V1() V2() set
[[12,{}],<*I3,d4,i,I*>] is V1() set
{[12,{}],<*I3,d4,i,I*>} is non empty set
{{[12,{}],<*I3,d4,i,I*>},{[12,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,d4,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,d4,i,I)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I3,d4,i,I), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
(i) is Element of the InstructionsF of ()
<*i*> is Relation-like Function-like set
[14,{},<*i*>] is V1() V2() set
[[14,{}],<*i*>] is V1() set
{[14,{}],<*i*>} is non empty set
{{[14,{}],<*i*>},{[14,{}]}} is non empty V63() V64() set
abs i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs i) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
d4 . NAT is set
- (abs i) is V24() V25() integer ext-real set
0 - (abs i) is V24() V25() integer ext-real set
(abs i) + i is V24() V25() integer ext-real set
((abs i) + i) * 1 is V24() V25() integer ext-real set
IC d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 . (IC ) is set
(d4,i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
Exec ((i),d4) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (i) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (i)) . d4 is set
(Exec ((i),d4)) . (IC ) is set
((abs i) + i) + 1 is V24() V25() integer ext-real set
abs (((abs i) + i) + 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
abs ((abs i) + i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
abs 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs ((abs i) + i)) + (abs 1) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs ((abs i) + i)) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
((abs i) + 1) + i is V24() V25() integer ext-real set
d5 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d5 + i is V24() V25() integer ext-real set
abs (d5 + i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[4,{},<*I3,i,I*>] is V1() V2() set
[[4,{}],<*I3,i,I*>] is V1() set
{[4,{}],<*I3,i,I*>} is non empty set
{{[4,{}],<*I3,i,I*>},{[4,{}]}} is non empty V63() V64() set
d4 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
d4 . I3 is V24() V25() integer ext-real set
((d4 . I3),i) is Int-like Element of the carrier of ()
(d4 . I3) + i is V24() V25() integer ext-real set
abs ((d4 . I3) + i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d4 . I3) + i))] is V1() set
{1,(abs ((d4 . I3) + i))} is non empty set
{{1,(abs ((d4 . I3) + i))},{1}} is non empty V63() V64() set
d4 . ((d4 . I3),i) is V24() V25() integer ext-real set
Exec ((I3,i,I),d4) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,i,I)) . d4 is set
(Exec ((I3,i,I),d4)) . (IC ) is set
IC d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 . (IC ) is set
succ (IC d4) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d4) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[5,{},<*I3,i,I*>] is V1() V2() set
[[5,{}],<*I3,i,I*>] is V1() set
{[5,{}],<*I3,i,I*>} is non empty set
{{[5,{}],<*I3,i,I*>},{[5,{}]}} is non empty V63() V64() set
d4 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
d4 . I3 is V24() V25() integer ext-real set
((d4 . I3),i) is Int-like Element of the carrier of ()
(d4 . I3) + i is V24() V25() integer ext-real set
abs ((d4 . I3) + i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d4 . I3) + i))] is V1() set
{1,(abs ((d4 . I3) + i))} is non empty set
{{1,(abs ((d4 . I3) + i))},{1}} is non empty V63() V64() set
d4 . ((d4 . I3),i) is V24() V25() integer ext-real set
Exec ((I3,i,I),d4) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,i,I)) . d4 is set
(Exec ((I3,i,I),d4)) . (IC ) is set
IC d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 . (IC ) is set
succ (IC d4) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d4) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is V24() V25() integer ext-real set
I3 is Int-like Element of the carrier of ()
(I3,i,I) is Element of the InstructionsF of ()
<*I3,i,I*> is set
[6,{},<*I3,i,I*>] is V1() V2() set
[[6,{}],<*I3,i,I*>] is V1() set
{[6,{}],<*I3,i,I*>} is non empty set
{{[6,{}],<*I3,i,I*>},{[6,{}]}} is non empty V63() V64() set
- 1 is V24() V25() integer ext-real non positive set
d4 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
d4 . I3 is V24() V25() integer ext-real set
((d4 . I3),i) is Int-like Element of the carrier of ()
(d4 . I3) + i is V24() V25() integer ext-real set
abs ((d4 . I3) + i) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((d4 . I3) + i))] is V1() set
{1,(abs ((d4 . I3) + i))} is non empty set
{{1,(abs ((d4 . I3) + i))},{1}} is non empty V63() V64() set
d4 . ((d4 . I3),i) is V24() V25() integer ext-real set
Exec ((I3,i,I),d4) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I3,i,I) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I3,i,I)) . d4 is set
(Exec ((I3,i,I),d4)) . (IC ) is set
IC d4 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
d4 . (IC ) is set
succ (IC d4) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC d4) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is Int-like Element of the carrier of ()
(i) is Element of the InstructionsF of ()
<*i*> is Relation-like Function-like set
[1,{},<*i*>] is V1() V2() set
[[1,{}],<*i*>] is V1() set
{[1,{}],<*i*>} is non empty set
{{[1,{}],<*i*>},{[1,{}]}} is non empty V63() V64() set
I is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I3 is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
I3 . NAT is set
Exec ((i),I3) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (i) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (i)) . I3 is set
(Exec ((i),I3)) . (IC ) is set
I3 . i is V24() V25() integer ext-real set
((I3 . i),RetIC) is Int-like Element of the carrier of ()
(I3 . i) + RetIC is V24() V25() integer ext-real set
abs ((I3 . i) + RetIC) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
[1,(abs ((I3 . i) + RetIC))] is V1() set
{1,(abs ((I3 . i) + RetIC))} is non empty set
{{1,(abs ((I3 . i) + RetIC))},{1}} is non empty V63() V64() set
I3 . ((I3 . i),RetIC) is V24() V25() integer ext-real set
abs (I3 . ((I3 . i),RetIC)) is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs (I3 . ((I3 . i),RetIC))) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
abs 0 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
(abs 0) + 2 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
0 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real positive non negative Element of NAT
IC I3 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
I3 . (IC ) is set
succ (IC I3) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC I3) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is V24() V25() integer ext-real set
I is Int-like Element of the carrier of ()
(I,i) is Element of the InstructionsF of ()
<*I,i*> is set
[3,{},<*I,i*>] is V1() V2() set
[[3,{}],<*I,i*>] is V1() set
{[3,{}],<*I,i*>} is non empty set
{{[3,{}],<*I,i*>},{[3,{}]}} is non empty V63() V64() set
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec ((I,i), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . (I,i) is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . (I,i)) . the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is set
(Exec ((I,i), the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set )) . (IC ) is set
IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set . (IC ) is set
succ (IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) is non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V63() ext-real Element of omega
(IC the Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set ) + 1 is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
i is set
I is Element of the InstructionsF of ()
I is Element of the InstructionsF of ()
I3 is V24() V25() integer ext-real Element of INT
<*I3*> is Relation-like Function-like set
[14,{},<*I3*>] is V1() V2() set
[[14,{}],<*I3*>] is V1() set
{[14,{}],<*I3*>} is non empty set
{{[14,{}],<*I3*>},{[14,{}]}} is non empty V63() V64() set
(I3) is Element of the InstructionsF of ()
I is Element of the InstructionsF of ()
I3 is Element of SCM-Data-Loc
<*I3*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc
[1,{},<*I3*>] is V1() V2() set
[[1,{}],<*I3*>] is V1() set
{[1,{}],<*I3*>} is non empty set
{{[1,{}],<*I3*>},{[1,{}]}} is non empty V63() V64() set
d4 is Int-like Element of the carrier of ()
(d4) is Element of the InstructionsF of ()
<*d4*> is Relation-like Function-like set
[1,{},<*d4*>] is V1() V2() set
[[1,{}],<*d4*>] is V1() set
{[1,{}],<*d4*>} is non empty set
{{[1,{}],<*d4*>},{[1,{}]}} is non empty V63() V64() set
I is Element of the InstructionsF of ()
I3 is Element of Segm 15
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
<*d4,d5*> is Relation-like NAT -defined SCM-Data-Loc \/ INT -valued Function-like FinSequence-like FinSequence of SCM-Data-Loc \/ INT
[I3,{},<*d4,d5*>] is V1() V2() set
[I3,{}] is V1() set
{I3,{}} is non empty set
{I3} is non empty set
{{I3,{}},{I3}} is non empty V63() V64() set
[[I3,{}],<*d4,d5*>] is V1() set
{[I3,{}],<*d4,d5*>} is non empty set
{[I3,{}]} is non empty Relation-like Function-like set
{{[I3,{}],<*d4,d5*>},{[I3,{}]}} is non empty V63() V64() set
k1 is Int-like Element of the carrier of ()
(k1,d5) is Element of the InstructionsF of ()
<*k1,d5*> is set
[3,{},<*k1,d5*>] is V1() V2() set
[[3,{}],<*k1,d5*>] is V1() set
{[3,{}],<*k1,d5*>} is non empty set
{{[3,{}],<*k1,d5*>},{[3,{}]}} is non empty V63() V64() set
(k1,d5) is Element of the InstructionsF of ()
[2,{},<*k1,d5*>] is V1() V2() set
[[2,{}],<*k1,d5*>] is V1() set
{[2,{}],<*k1,d5*>} is non empty set
{{[2,{}],<*k1,d5*>},{[2,{}]}} is non empty V63() V64() set
I is Element of the InstructionsF of ()
I3 is Element of Segm 15
d4 is Element of SCM-Data-Loc
d5 is V24() V25() integer ext-real Element of INT
k1 is V24() V25() integer ext-real Element of INT
<*d4,d5,k1*> is set
[I3,{},<*d4,d5,k1*>] is V1() V2() set
[I3,{}] is V1() set
{I3,{}} is non empty set
{I3} is non empty set
{{I3,{}},{I3}} is non empty V63() V64() set
[[I3,{}],<*d4,d5,k1*>] is V1() set
{[I3,{}],<*d4,d5,k1*>} is non empty set
{[I3,{}]} is non empty Relation-like Function-like set
{{[I3,{}],<*d4,d5,k1*>},{[I3,{}]}} is non empty V63() V64() set
k2 is Int-like Element of the carrier of ()
(k2,d5,k1) is Element of the InstructionsF of ()
<*k2,d5,k1*> is set
[4,{},<*k2,d5,k1*>] is V1() V2() set
[[4,{}],<*k2,d5,k1*>] is V1() set
{[4,{}],<*k2,d5,k1*>} is non empty set
{{[4,{}],<*k2,d5,k1*>},{[4,{}]}} is non empty V63() V64() set
(k2,d5,k1) is Element of the InstructionsF of ()
[5,{},<*k2,d5,k1*>] is V1() V2() set
[[5,{}],<*k2,d5,k1*>] is V1() set
{[5,{}],<*k2,d5,k1*>} is non empty set
{{[5,{}],<*k2,d5,k1*>},{[5,{}]}} is non empty V63() V64() set
(k2,d5,k1) is Element of the InstructionsF of ()
[6,{},<*k2,d5,k1*>] is V1() V2() set
[[6,{}],<*k2,d5,k1*>] is V1() set
{[6,{}],<*k2,d5,k1*>} is non empty set
{{[6,{}],<*k2,d5,k1*>},{[6,{}]}} is non empty V63() V64() set
(k2,d5,k1) is Element of the InstructionsF of ()
[7,{},<*k2,d5,k1*>] is V1() V2() set
[[7,{}],<*k2,d5,k1*>] is V1() set
{[7,{}],<*k2,d5,k1*>} is non empty set
{{[7,{}],<*k2,d5,k1*>},{[7,{}]}} is non empty V63() V64() set
(k2,d5,k1) is Element of the InstructionsF of ()
[8,{},<*k2,d5,k1*>] is V1() V2() set
[[8,{}],<*k2,d5,k1*>] is V1() set
{[8,{}],<*k2,d5,k1*>} is non empty set
{{[8,{}],<*k2,d5,k1*>},{[8,{}]}} is non empty V63() V64() set
I is Element of the InstructionsF of ()
I3 is Element of Segm 15
d4 is Element of SCM-Data-Loc
d5 is Element of SCM-Data-Loc
k1 is V24() V25() integer ext-real Element of INT
k2 is V24() V25() integer ext-real Element of INT
<*d4,d5,k1,k2*> is set
[I3,{},<*d4,d5,k1,k2*>] is V1() V2() set
[I3,{}] is V1() set
{I3,{}} is non empty set
{I3} is non empty set
{{I3,{}},{I3}} is non empty V63() V64() set
[[I3,{}],<*d4,d5,k1,k2*>] is V1() set
{[I3,{}],<*d4,d5,k1,k2*>} is non empty set
{[I3,{}]} is non empty Relation-like Function-like set
{{[I3,{}],<*d4,d5,k1,k2*>},{[I3,{}]}} is non empty V63() V64() set
a is Int-like Element of the carrier of ()
b is Int-like Element of the carrier of ()
(a,b,k1,k2) is Element of the InstructionsF of ()
<*a,b,k1,k2*> is set
[9,{},<*a,b,k1,k2*>] is V1() V2() set
[[9,{}],<*a,b,k1,k2*>] is V1() set
{[9,{}],<*a,b,k1,k2*>} is non empty set
{{[9,{}],<*a,b,k1,k2*>},{[9,{}]}} is non empty V63() V64() set
(a,b,k1,k2) is Element of the InstructionsF of ()
[10,{},<*a,b,k1,k2*>] is V1() V2() set
[[10,{}],<*a,b,k1,k2*>] is V1() set
{[10,{}],<*a,b,k1,k2*>} is non empty set
{{[10,{}],<*a,b,k1,k2*>},{[10,{}]}} is non empty V63() V64() set
(a,b,k1,k2) is Element of the InstructionsF of ()
[11,{},<*a,b,k1,k2*>] is V1() V2() set
[[11,{}],<*a,b,k1,k2*>] is V1() set
{[11,{}],<*a,b,k1,k2*>} is non empty set
{{[11,{}],<*a,b,k1,k2*>},{[11,{}]}} is non empty V63() V64() set
(a,b,k1,k2) is Element of the InstructionsF of ()
[12,{},<*a,b,k1,k2*>] is V1() V2() set
[[12,{}],<*a,b,k1,k2*>] is V1() set
{[12,{}],<*a,b,k1,k2*>} is non empty set
{{[12,{}],<*a,b,k1,k2*>},{[12,{}]}} is non empty V63() V64() set
(a,b,k1,k2) is Element of the InstructionsF of ()
[13,{},<*a,b,k1,k2*>] is V1() V2() set
[[13,{}],<*a,b,k1,k2*>] is V1() set
{[13,{}],<*a,b,k1,k2*>} is non empty set
{{[13,{}],<*a,b,k1,k2*>},{[13,{}]}} is non empty V63() V64() set
I is Element of the InstructionsF of ()
halt () is Element of the InstructionsF of ()
halt the InstructionsF of () is V74( the InstructionsF of ()) Element of the InstructionsF of ()
halt () is halting Element of the InstructionsF of ()
halt the InstructionsF of () is V74( the InstructionsF of ()) Element of the InstructionsF of ()
i is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of NAT
dl. i is Int-like Element of the carrier of SCM
[1,i] is V1() set
{1,i} is non empty set
{{1,i},{1}} is non empty V63() V64() set
I is Element of the InstructionsF of ()
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real Element of InsCodes the InstructionsF of ()
InsCodes the InstructionsF of () is non empty set
K23( the InstructionsF of ()) is set
proj1 the InstructionsF of () is non empty set
proj1 (proj1 the InstructionsF of ()) is set
K13(I) is set
K13(K13(I)) is set
i is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
Exec (I,i) is Relation-like the carrier of () -defined Function-like the_Values_of () -compatible V37( the carrier of ()) set
K191(( the Object-Kind of () * the ValuesF of ())) is functional V57() V58() set
K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) is non empty functional set
the Execution of () is non empty Relation-like the InstructionsF of () -defined K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))) -valued Function-like V37( the InstructionsF of ()) V38( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) Function-yielding V94() Element of K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))))
K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))) is Relation-like set
K32(K33( the InstructionsF of (),K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ()))))) is set
the Execution of () . I is Relation-like Function-like Element of K163(K191(( the Object-Kind of () * the ValuesF of ())),K191(( the Object-Kind of () * the ValuesF of ())))
( the Execution of () . I) . i is set