REAL is set
NAT is epsilon-transitive epsilon-connected ordinal non empty non trivial V24() cardinal limit_cardinal countable denumerable Element of K27(REAL)
K27(REAL) is set
omega is epsilon-transitive epsilon-connected ordinal non empty non trivial V24() cardinal limit_cardinal countable denumerable set
K27(omega) is non trivial V24() set
K27(NAT) is non trivial V24() set
2 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
K28(2,2) is Relation-like V24() countable set
K28(K28(2,2),2) is Relation-like V24() countable set
K27(K28(K28(2,2),2)) is V24() V28() countable set
9 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
Segm 9 is countable Element of K27(omega)
K229() is set
SCM-Memory is set
K27(SCM-Memory) is set
K28(SCM-Memory,2) is Relation-like set
K27(K28(SCM-Memory,2)) is set
SCM-OK is Relation-like Function-like V36( SCM-Memory ,2) Element of K27(K28(SCM-Memory,2))
SCM-VAL is Relation-like 2 -defined Function-like total V212() set
SCM-OK * SCM-VAL is Relation-like Function-like set
product (SCM-OK * SCM-VAL) is functional with_common_domain product-like set
K230() is non empty set
K120((product (SCM-OK * SCM-VAL)),(product (SCM-OK * SCM-VAL))) is set
K28(K230(),K120((product (SCM-OK * SCM-VAL)),(product (SCM-OK * SCM-VAL)))) is Relation-like set
K27(K28(K230(),K120((product (SCM-OK * SCM-VAL)),(product (SCM-OK * SCM-VAL))))) is set
SCM is non empty with_non-empty_values IC-Ins-separated strict strict V154(2) AMI-Struct over 2
the InstructionsF of SCM is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of SCM is non empty set
the_Values_of SCM is Relation-like non-empty the carrier of SCM -defined Function-like total set
the Object-Kind of SCM is Relation-like Function-like V36( the carrier of SCM,2) Element of K27(K28( the carrier of SCM,2))
K28( the carrier of SCM,2) is Relation-like set
K27(K28( the carrier of SCM,2)) is set
the ValuesF of SCM is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of SCM * the ValuesF of SCM is Relation-like Function-like set
COMPLEX is set
RAT is set
INT is set
{} is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
the Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
SCM-Data-Loc is Element of K27(SCM-Memory)
1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
0 is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of NAT
NonZero SCM is Element of K27( the carrier of SCM)
K27( the carrier of SCM) is set
[0,{},{}] is V21() V22() set
[0,{}] is V21() set
{0,{}} is functional non empty V24() V28() countable set
{0} is functional non empty trivial V24() V28() 1 -element with_common_domain countable set
{{0,{}},{0}} is non empty V24() V28() countable set
[[0,{}],{}] is V21() set
{[0,{}],{}} is non empty V24() countable set
{[0,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[0,{}],{}},{[0,{}]}} is non empty V24() V28() countable set
{NAT} is non empty trivial V24() 1 -element countable set
0. SCM is V48( SCM ) Element of the carrier of SCM
Seg 1 is countable Element of K27(NAT)
{1} is non empty trivial V24() V28() 1 -element countable set
Seg 2 is countable Element of K27(NAT)
{1,2} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
I is Int-like Element of the carrier of (SCM R)
Values I is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
(the_Values_of (SCM R)) . I is set
SCM-VAL R is Relation-like 2 -defined Function-like total V212() set
SCM-OK * (SCM-VAL R) is Relation-like Function-like set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
i1 is Element of the carrier of R
j is Element of the carrier of R
(I,T) --> (i1,j) is Relation-like the carrier of (SCM R) -defined Function-like non empty V24() countable V212() set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
Values T is non empty set
(the_Values_of (SCM R)) . T is set
Values I is non empty set
(the_Values_of (SCM R)) . I is set
s1 is Element of Values I
k is Element of Values T
(I,T) --> (s1,k) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable V212() set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
I is Int-like Element of the carrier of (SCM R)
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
I is Element of the carrier of (SCM R)
{(0. (SCM R))} is non empty trivial V24() 1 -element countable set
the carrier of (SCM R) \ {NAT} is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
I := T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I,T*> is set
[1,{},<*I,T*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*I,T*>] is V21() set
{[1,{}],<*I,T*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*I,T*>},{[1,{}]}} is non empty V24() V28() countable set
InsCode (I := T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((I := T)) is set
K41(K41((I := T))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
AddTo (I,T) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I,T*> is set
[2,{},<*I,T*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*I,T*>] is V21() set
{[2,{}],<*I,T*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*I,T*>},{[2,{}]}} is non empty V24() V28() countable set
InsCode (AddTo (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((AddTo (I,T))) is set
K41(K41((AddTo (I,T)))) is set
3 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
SubFrom (I,T) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I,T*> is set
[3,{},<*I,T*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*I,T*>] is V21() set
{[3,{}],<*I,T*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*I,T*>},{[3,{}]}} is non empty V24() V28() countable set
InsCode (SubFrom (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((SubFrom (I,T))) is set
K41(K41((SubFrom (I,T)))) is set
4 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
MultBy (I,T) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I,T*> is set
[4,{},<*I,T*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*I,T*>] is V21() set
{[4,{}],<*I,T*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*I,T*>},{[4,{}]}} is non empty V24() V28() countable set
InsCode (MultBy (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((MultBy (I,T))) is set
K41(K41((MultBy (I,T)))) is set
5 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
the carrier of R is non empty set
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
T is Int-like Element of the carrier of (SCM R)
I is Element of the carrier of R
T := I is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,I*> is set
[5,{},<*T,I*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*T,I*>] is V21() set
{[5,{}],<*T,I*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*T,I*>},{[5,{}]}} is non empty V24() V28() countable set
InsCode (T := I) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((T := I)) is set
K41(K41((T := I))) is set
6 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
InsCode (goto (I,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((goto (I,R))) is set
K41(K41((goto (I,R)))) is set
7 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I is Int-like Element of the carrier of (SCM R)
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
InsCode (I =0_goto T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((I =0_goto T)) is set
K41(K41((I =0_goto T))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of (SCM R) is non empty set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of (SCM R) is non empty set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of (SCM R) is non empty set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of (SCM R) is non empty set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
the carrier of (SCM R) is non empty set
I is Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
s1 is Int-like Element of the carrier of (SCM R)
s2 is Int-like Element of the carrier of (SCM R)
SubFrom (s1,s2) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1,s2*> is set
[3,{},<*s1,s2*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*s1,s2*>] is V21() set
{[3,{}],<*s1,s2*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*s1,s2*>},{[3,{}]}} is non empty V24() V28() countable set
r is Int-like Element of the carrier of (SCM R)
u is Int-like Element of the carrier of (SCM R)
MultBy (r,u) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r,u*> is set
[4,{},<*r,u*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*r,u*>] is V21() set
{[4,{}],<*r,u*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*r,u*>},{[4,{}]}} is non empty V24() V28() countable set
P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (P,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*P*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*P*>,{}] is V21() V22() set
[6,<*P*>] is V21() set
{6,<*P*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*P*>},{6}} is non empty V24() V28() countable set
[[6,<*P*>],{}] is V21() set
{[6,<*P*>],{}} is non empty V24() countable set
{[6,<*P*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*P*>],{}},{[6,<*P*>]}} is non empty V24() V28() countable set
e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
x is Int-like Element of the carrier of (SCM R)
x =0_goto e is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*e*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*x*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*e*>,<*x*>] is V21() V22() set
[7,<*e*>] is V21() set
{7,<*e*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*e*>},{7}} is non empty V24() V28() countable set
[[7,<*e*>],<*x*>] is V21() set
{[7,<*e*>],<*x*>} is non empty V24() countable set
{[7,<*e*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*e*>],<*x*>},{[7,<*e*>]}} is non empty V24() V28() countable set
E is Int-like Element of the carrier of (SCM R)
v is Element of the carrier of R
E := v is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*E,v*> is set
[5,{},<*E,v*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*E,v*>] is V21() set
{[5,{}],<*E,v*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*E,v*>},{[5,{}]}} is non empty V24() V28() countable set
R is set
I is set
<*I*> is Relation-like Function-like set
proj1 <*I*> is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
T is set
[I,T] is V21() set
{I,T} is non empty V24() countable set
{I} is non empty trivial V24() 1 -element countable set
{{I,T},{I}} is non empty V24() V28() countable set
i1 is set
[[I,T],i1] is V21() set
{[I,T],i1} is non empty V24() countable set
{[I,T]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[I,T],i1},{[I,T]}} is non empty V24() V28() countable set
[I,T,i1] is V21() V22() set
SCM-Instr R is non empty set
{[0,{},{}]} is Relation-like non empty trivial V24() 1 -element countable standard-ins V136() J/A-independent V139() set
8 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
Segm 8 is countable Element of K27(omega)
{1,2,3,4} is V24() countable set
{ [b1,{},K88(K229(),b2,b3)] where b1 is Element of Segm 8, b2, b3 is Element of K229() : b1 in {1,2,3,4} } is set
{[0,{},{}]} \/ { [b1,{},K88(K229(),b2,b3)] where b1 is Element of Segm 8, b2, b3 is Element of K229() : b1 in {1,2,3,4} } is non empty set
{ [6,<*b1*>,{}] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
({[0,{},{}]} \/ { [b1,{},K88(K229(),b2,b3)] where b1 is Element of Segm 8, b2, b3 is Element of K229() : b1 in {1,2,3,4} } ) \/ { [6,<*b1*>,{}] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is non empty set
{ [7,<*b1*>,<*b2*>] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT , b2 is Element of K229() : verum } is set
(({[0,{},{}]} \/ { [b1,{},K88(K229(),b2,b3)] where b1 is Element of Segm 8, b2, b3 is Element of K229() : b1 in {1,2,3,4} } ) \/ { [6,<*b1*>,{}] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } ) \/ { [7,<*b1*>,<*b2*>] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT , b2 is Element of K229() : verum } is non empty set
the carrier of R is non empty set
{ [5,{},<*b1,b2*>] where b1 is Element of K229(), b2 is Element of the carrier of R : verum } is set
((({[0,{},{}]} \/ { [b1,{},K88(K229(),b2,b3)] where b1 is Element of Segm 8, b2, b3 is Element of K229() : b1 in {1,2,3,4} } ) \/ { [6,<*b1*>,{}] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } ) \/ { [7,<*b1*>,<*b2*>] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT , b2 is Element of K229() : verum } ) \/ { [5,{},<*b1,b2*>] where b1 is Element of K229(), b2 is Element of the carrier of R : verum } is non empty set
{ [b1,{},<*b2,b3*>] where b1 is Element of Segm 8, b2, b3 is Element of NonZero SCM : b1 in {1,2,3,4} } is set
{[0,{},{}]} \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 8, b2, b3 is Element of NonZero SCM : b1 in {1,2,3,4} } is non empty set
({[0,{},{}]} \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 8, b2, b3 is Element of NonZero SCM : b1 in {1,2,3,4} } ) \/ { [6,<*b1*>,{}] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is non empty set
{ [7,<*b1*>,<*b2*>] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT , b2 is Element of NonZero SCM : verum } is set
(({[0,{},{}]} \/ { [b1,{},<*b2,b3*>] where b1 is Element of Segm 8, b2, b3 is Element of NonZero SCM : b1 in {1,2,3,4} } ) \/ { [6,<*b1*>,{}] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } ) \/ { [7,<*b1*>,<*b2*>] where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT , b2 is Element of NonZero SCM : verum } is non empty set
{ [5,{},<*b1,b2*>] where b1 is Element of NonZero SCM, b2 is Element of the carrier of R : verum } is set
j is Element of Segm 8
k is Element of NonZero SCM
s1 is Element of NonZero SCM
<*k,s1*> is set
[j,{},<*k,s1*>] is V21() V22() set
[j,{}] is V21() set
{j,{}} is non empty V24() countable set
{j} is non empty trivial V24() 1 -element countable set
{{j,{}},{j}} is non empty V24() V28() countable set
[[j,{}],<*k,s1*>] is V21() set
{[j,{}],<*k,s1*>} is non empty V24() countable set
{[j,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[j,{}],<*k,s1*>},{[j,{}]}} is non empty V24() V28() countable set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*j*>,{}] is V21() V22() set
[6,<*j*>] is V21() set
{6,<*j*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*j*>},{6}} is non empty V24() V28() countable set
[[6,<*j*>],{}] is V21() set
{[6,<*j*>],{}} is non empty V24() countable set
{[6,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*j*>],{}},{[6,<*j*>]}} is non empty V24() V28() countable set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
k is Element of NonZero SCM
<*k*> is Relation-like Function-like set
[7,<*j*>,<*k*>] is V21() V22() set
[7,<*j*>] is V21() set
{7,<*j*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*j*>},{7}} is non empty V24() V28() countable set
[[7,<*j*>],<*k*>] is V21() set
{[7,<*j*>],<*k*>} is non empty V24() countable set
{[7,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*j*>],<*k*>},{[7,<*j*>]}} is non empty V24() V28() countable set
j is Element of NonZero SCM
k is Element of the carrier of R
<*j,k*> is set
[5,{},<*j,k*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*j,k*>] is V21() set
{[5,{}],<*j,k*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*j,k*>},{[5,{}]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
T is set
i1 is Element of the InstructionsF of (SCM R)
JumpPart i1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(i1) is set
AddressPart K41(i1) is set
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(i1)) is set
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
T is set
InsCode (halt (SCM R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((halt (SCM R))) is set
K41(K41((halt (SCM R)))) is set
JumpPart (halt (SCM R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
AddressPart K41((halt (SCM R))) is set
{{}} is functional non empty trivial V24() V28() 1 -element with_common_domain countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
T is set
i1 is Element of the InstructionsF of (SCM R)
JumpPart i1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(i1) is set
AddressPart K41(i1) is set
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(i1)) is set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
j := k is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[1,{},<*j,k*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*j,k*>] is V21() set
{[1,{}],<*j,k*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*j,k*>},{[1,{}]}} is non empty V24() V28() countable set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
i1 is set
the Int-like Element of the carrier of (SCM R) := the Int-like Element of the carrier of (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*> is set
[1,{},<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() V22() set
[[1,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() set
{[1,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>} is non empty V24() countable set
{{[1,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>},{[1,{}]}} is non empty V24() V28() countable set
JumpPart ( the Int-like Element of the carrier of (SCM R) := the Int-like Element of the carrier of (SCM R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(( the Int-like Element of the carrier of (SCM R) := the Int-like Element of the carrier of (SCM R))) is set
AddressPart K41(( the Int-like Element of the carrier of (SCM R) := the Int-like Element of the carrier of (SCM R))) is set
InsCode ( the Int-like Element of the carrier of (SCM R) := the Int-like Element of the carrier of (SCM R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(( the Int-like Element of the carrier of (SCM R) := the Int-like Element of the carrier of (SCM R)))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
T is set
i1 is Element of the InstructionsF of (SCM R)
JumpPart i1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(i1) is set
AddressPart K41(i1) is set
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(i1)) is set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
i1 is set
AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*> is set
[2,{},<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() V22() set
[[2,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() set
{[2,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>} is non empty V24() countable set
{{[2,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>},{[2,{}]}} is non empty V24() V28() countable set
JumpPart (AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is set
AddressPart K41((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is set
InsCode (AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
T is set
i1 is Element of the InstructionsF of (SCM R)
JumpPart i1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(i1) is set
AddressPart K41(i1) is set
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(i1)) is set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
SubFrom (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[3,{},<*j,k*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*j,k*>] is V21() set
{[3,{}],<*j,k*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*j,k*>},{[3,{}]}} is non empty V24() V28() countable set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
i1 is set
SubFrom ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*> is set
[3,{},<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() V22() set
[[3,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() set
{[3,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>} is non empty V24() countable set
{{[3,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>},{[3,{}]}} is non empty V24() V28() countable set
JumpPart (SubFrom ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((SubFrom ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is set
AddressPart K41((SubFrom ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is set
InsCode (SubFrom ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((SubFrom ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
T is set
i1 is Element of the InstructionsF of (SCM R)
JumpPart i1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(i1) is set
AddressPart K41(i1) is set
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(i1)) is set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
MultBy (j,k) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[4,{},<*j,k*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*j,k*>] is V21() set
{[4,{}],<*j,k*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*j,k*>},{[4,{}]}} is non empty V24() V28() countable set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
i1 is set
MultBy ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*> is set
[4,{},<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() V22() set
[[4,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() set
{[4,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>} is non empty V24() countable set
{{[4,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>},{[4,{}]}} is non empty V24() V28() countable set
JumpPart (MultBy ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((MultBy ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is set
AddressPart K41((MultBy ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is set
InsCode (MultBy ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((MultBy ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
T is set
i1 is Element of the InstructionsF of (SCM R)
JumpPart i1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(i1) is set
AddressPart K41(i1) is set
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(i1)) is set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Element of the carrier of R
j := k is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j,k*> is set
[5,{},<*j,k*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*j,k*>] is V21() set
{[5,{}],<*j,k*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*j,k*>},{[5,{}]}} is non empty V24() V28() countable set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
the Element of the carrier of R is Element of the carrier of R
j is set
the Int-like Element of the carrier of (SCM R) := the Element of the carrier of R is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the Int-like Element of the carrier of (SCM R), the Element of the carrier of R*> is set
[5,{},<* the Int-like Element of the carrier of (SCM R), the Element of the carrier of R*>] is V21() V22() set
[[5,{}],<* the Int-like Element of the carrier of (SCM R), the Element of the carrier of R*>] is V21() set
{[5,{}],<* the Int-like Element of the carrier of (SCM R), the Element of the carrier of R*>} is non empty V24() countable set
{{[5,{}],<* the Int-like Element of the carrier of (SCM R), the Element of the carrier of R*>},{[5,{}]}} is non empty V24() V28() countable set
JumpPart ( the Int-like Element of the carrier of (SCM R) := the Element of the carrier of R) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(( the Int-like Element of the carrier of (SCM R) := the Element of the carrier of R)) is set
AddressPart K41(( the Int-like Element of the carrier of (SCM R) := the Element of the carrier of R)) is set
InsCode ( the Int-like Element of the carrier of (SCM R) := the Element of the carrier of R) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(( the Int-like Element of the carrier of (SCM R) := the Element of the carrier of R))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
product" (JumpParts I) is Relation-like Function-like set
proj1 (product" (JumpParts I)) is set
the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>,{}] is V21() V22() set
[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>] is V21() set
{6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>},{6}} is non empty V24() V28() countable set
[[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>],{}] is V21() set
{[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>],{}} is non empty V24() countable set
{[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>],{}},{[6,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>]}} is non empty V24() V28() countable set
JumpPart (goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R))) is set
AddressPart K41((goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R))) is set
InsCode (goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R)))) is set
i1 is set
DOM (JumpParts I) is set
dom (JumpPart (goto ( the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ,R))) is countable Element of K27(NAT)
i1 is set
j is Relation-like Function-like set
proj1 j is set
k is Element of the InstructionsF of (SCM R)
JumpPart k is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(k) is set
AddressPart K41(k) is set
InsCode k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(k)) is set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (s1,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*s1*>,{}] is V21() V22() set
[6,<*s1*>] is V21() set
{6,<*s1*>} is non empty V24() countable set
{{6,<*s1*>},{6}} is non empty V24() V28() countable set
[[6,<*s1*>],{}] is V21() set
{[6,<*s1*>],{}} is non empty V24() countable set
{[6,<*s1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*s1*>],{}},{[6,<*s1*>]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Element of InsCodes the InstructionsF of (SCM R)
JumpParts I is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = I } is set
product" (JumpParts I) is Relation-like Function-like set
proj1 (product" (JumpParts I)) is set
the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
the carrier of (SCM R) is non empty set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<* the Int-like Element of the carrier of (SCM R)*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>,<* the Int-like Element of the carrier of (SCM R)*>] is V21() V22() set
[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>] is V21() set
{7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>},{7}} is non empty V24() V28() countable set
[[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>],<* the Int-like Element of the carrier of (SCM R)*>] is V21() set
{[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>],<* the Int-like Element of the carrier of (SCM R)*>} is non empty V24() countable set
{[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>],<* the Int-like Element of the carrier of (SCM R)*>},{[7,<* the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT *>]}} is non empty V24() V28() countable set
JumpPart ( the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(( the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT )) is set
AddressPart K41(( the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT )) is set
InsCode ( the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(( the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT ))) is set
j is set
DOM (JumpParts I) is set
dom (JumpPart ( the Int-like Element of the carrier of (SCM R) =0_goto the epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT )) is countable Element of K27(NAT)
j is set
k is Relation-like Function-like set
proj1 k is set
s1 is Element of the InstructionsF of (SCM R)
JumpPart s1 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(s1) is set
AddressPart K41(s1) is set
InsCode s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(s1)) is set
r is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
s2 is Int-like Element of the carrier of (SCM R)
s2 =0_goto r is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*s2*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*r*>,<*s2*>] is V21() V22() set
[7,<*r*>] is V21() set
{7,<*r*>} is non empty V24() countable set
{{7,<*r*>},{7}} is non empty V24() V28() countable set
[[7,<*r*>],<*s2*>] is V21() set
{[7,<*r*>],<*s2*>} is non empty V24() countable set
{[7,<*r*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*r*>],<*s2*>},{[7,<*r*>]}} is non empty V24() V28() countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
InsCode (goto (I,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((goto (I,R))) is set
K41(K41((goto (I,R)))) is set
JumpParts (InsCode (goto (I,R))) is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = InsCode (goto (I,R)) } is set
product" (JumpParts (InsCode (goto (I,R)))) is Relation-like Function-like set
(product" (JumpParts (InsCode (goto (I,R))))) . 1 is set
proj1 (product" (JumpParts (InsCode (goto (I,R))))) is set
T is set
pi ((JumpParts (InsCode (goto (I,R)))),1) is set
i1 is Relation-like Function-like set
i1 . 1 is set
j is Element of the InstructionsF of (SCM R)
JumpPart j is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(j) is set
AddressPart K41(j) is set
InsCode j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(j)) is set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (k,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*k*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*k*>,{}] is V21() V22() set
[6,<*k*>] is V21() set
{6,<*k*>} is non empty V24() countable set
{{6,<*k*>},{6}} is non empty V24() V28() countable set
[[6,<*k*>],{}] is V21() set
{[6,<*k*>],{}} is non empty V24() countable set
{[6,<*k*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*k*>],{}},{[6,<*k*>]}} is non empty V24() V28() countable set
T is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (i1,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*i1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*i1*>,{}] is V21() V22() set
[6,<*i1*>] is V21() set
{6,<*i1*>} is non empty V24() countable set
{{6,<*i1*>},{6}} is non empty V24() V28() countable set
[[6,<*i1*>],{}] is V21() set
{[6,<*i1*>],{}} is non empty V24() countable set
{[6,<*i1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*i1*>],{}},{[6,<*i1*>]}} is non empty V24() V28() countable set
JumpPart (goto (i1,R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((goto (i1,R))) is set
AddressPart K41((goto (i1,R))) is set
InsCode (goto (i1,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((goto (i1,R)))) is set
<*i1*> . 1 is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Int-like Element of the carrier of (SCM R)
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
InsCode (I =0_goto T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((I =0_goto T)) is set
K41(K41((I =0_goto T))) is set
JumpParts (InsCode (I =0_goto T)) is functional non empty with_common_domain product-like set
{ (JumpPart b1) where b1 is Element of the InstructionsF of (SCM R) : InsCode b1 = InsCode (I =0_goto T) } is set
product" (JumpParts (InsCode (I =0_goto T))) is Relation-like Function-like set
(product" (JumpParts (InsCode (I =0_goto T)))) . 1 is set
proj1 (product" (JumpParts (InsCode (I =0_goto T)))) is set
i1 is set
pi ((JumpParts (InsCode (I =0_goto T))),1) is set
j is Relation-like Function-like set
j . 1 is set
k is Element of the InstructionsF of (SCM R)
JumpPart k is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(k) is set
AddressPart K41(k) is set
InsCode k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41(k)) is set
s2 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
s1 is Int-like Element of the carrier of (SCM R)
s1 =0_goto s2 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s2*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*s1*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*s2*>,<*s1*>] is V21() V22() set
[7,<*s2*>] is V21() set
{7,<*s2*>} is non empty V24() countable set
{{7,<*s2*>},{7}} is non empty V24() V28() countable set
[[7,<*s2*>],<*s1*>] is V21() set
{[7,<*s2*>],<*s1*>} is non empty V24() countable set
{[7,<*s2*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*s2*>],<*s1*>},{[7,<*s2*>]}} is non empty V24() V28() countable set
i1 is set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto j is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*j*>,<*I*>] is V21() V22() set
[7,<*j*>] is V21() set
{7,<*j*>} is non empty V24() countable set
{{7,<*j*>},{7}} is non empty V24() V28() countable set
[[7,<*j*>],<*I*>] is V21() set
{[7,<*j*>],<*I*>} is non empty V24() countable set
{[7,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*j*>],<*I*>},{[7,<*j*>]}} is non empty V24() V28() countable set
JumpPart (I =0_goto j) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((I =0_goto j)) is set
AddressPart K41((I =0_goto j)) is set
InsCode (I =0_goto j) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((I =0_goto j))) is set
<*j*> . 1 is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
i1 is Element of the InstructionsF of (SCM R)
JUMP i1 is countable Element of K27(NAT)
{ (NIC (i1,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC (i1,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{ (NIC (i1,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC (i1,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
s2 is set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC (i1,k) is countable Element of K27(NAT)
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec (i1,b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = k } is set
succ k is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
k + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ k)} is non empty trivial V24() V28() 1 -element countable set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC (i1,s1) is countable Element of K27(NAT)
{ (IC (Exec (i1,b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = s1 } is set
succ s1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ s1)} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
JUMP (halt (SCM R)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
I := T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[1,{},<*I,T*>] is V21() V22() set
[1,{}] is V21() set
{1,{}} is non empty V24() V28() countable set
{{1,{}},{1}} is non empty V24() V28() countable set
[[1,{}],<*I,T*>] is V21() set
{[1,{}],<*I,T*>} is non empty V24() countable set
{[1,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[1,{}],<*I,T*>},{[1,{}]}} is non empty V24() V28() countable set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
i1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((I := T),i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(I := T)) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(I := T)) . i1 is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((I := T),i1)) . (0. (SCM R)) is set
IC i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 . (0. (SCM R)) is set
succ (IC i1) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC i1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
AddTo (I,T) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
[2,{},<*I,T*>] is V21() V22() set
[2,{}] is V21() set
{2,{}} is non empty V24() V28() countable set
{2} is non empty trivial V24() V28() 1 -element countable set
{{2,{}},{2}} is non empty V24() V28() countable set
[[2,{}],<*I,T*>] is V21() set
{[2,{}],<*I,T*>} is non empty V24() countable set
{[2,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[2,{}],<*I,T*>},{[2,{}]}} is non empty V24() V28() countable set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
i1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((AddTo (I,T)),i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(AddTo (I,T))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(AddTo (I,T))) . i1 is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((AddTo (I,T)),i1)) . (0. (SCM R)) is set
IC i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 . (0. (SCM R)) is set
succ (IC i1) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC i1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
SubFrom (I,T) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
[3,{},<*I,T*>] is V21() V22() set
[3,{}] is V21() set
{3,{}} is non empty V24() V28() countable set
{3} is non empty trivial V24() V28() 1 -element countable set
{{3,{}},{3}} is non empty V24() V28() countable set
[[3,{}],<*I,T*>] is V21() set
{[3,{}],<*I,T*>} is non empty V24() countable set
{[3,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[3,{}],<*I,T*>},{[3,{}]}} is non empty V24() V28() countable set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
i1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((SubFrom (I,T)),i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(SubFrom (I,T))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(SubFrom (I,T))) . i1 is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((SubFrom (I,T)),i1)) . (0. (SCM R)) is set
IC i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 . (0. (SCM R)) is set
succ (IC i1) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC i1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
MultBy (I,T) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
[4,{},<*I,T*>] is V21() V22() set
[4,{}] is V21() set
{4,{}} is non empty V24() V28() countable set
{4} is non empty trivial V24() V28() 1 -element countable set
{{4,{}},{4}} is non empty V24() V28() countable set
[[4,{}],<*I,T*>] is V21() set
{[4,{}],<*I,T*>} is non empty V24() countable set
{[4,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[4,{}],<*I,T*>},{[4,{}]}} is non empty V24() V28() countable set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
i1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((MultBy (I,T)),i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(MultBy (I,T))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(MultBy (I,T))) . i1 is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((MultBy (I,T)),i1)) . (0. (SCM R)) is set
IC i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 . (0. (SCM R)) is set
succ (IC i1) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC i1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Element of the carrier of R
I := T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[5,{},<*I,T*>] is V21() V22() set
[5,{}] is V21() set
{5,{}} is non empty V24() V28() countable set
{5} is non empty trivial V24() V28() 1 -element countable set
{{5,{}},{5}} is non empty V24() V28() countable set
[[5,{}],<*I,T*>] is V21() set
{[5,{}],<*I,T*>} is non empty V24() countable set
{[5,{}]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[5,{}],<*I,T*>},{[5,{}]}} is non empty V24() V28() countable set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
i1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((I := T),i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(I := T)) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(I := T)) . i1 is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((I := T),i1)) . (0. (SCM R)) is set
IC i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 . (0. (SCM R)) is set
succ (IC i1) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC i1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
I := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[1,{},<*I,T*>] is V21() V22() set
[[1,{}],<*I,T*>] is V21() set
{[1,{}],<*I,T*>} is non empty V24() countable set
{{[1,{}],<*I,T*>},{[1,{}]}} is non empty V24() V28() countable set
JUMP (I := T) is countable Element of K27(NAT)
{ (NIC ((I := T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I := T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((I := T),i1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((I := T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = i1 } is set
succ i1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
i1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ i1)} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
AddTo (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[2,{},<*I,T*>] is V21() V22() set
[[2,{}],<*I,T*>] is V21() set
{[2,{}],<*I,T*>} is non empty V24() countable set
{{[2,{}],<*I,T*>},{[2,{}]}} is non empty V24() V28() countable set
JUMP (AddTo (I,T)) is countable Element of K27(NAT)
{ (NIC ((AddTo (I,T)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((AddTo (I,T)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((AddTo (I,T)),i1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((AddTo (I,T)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = i1 } is set
succ i1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
i1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ i1)} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
SubFrom (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[3,{},<*I,T*>] is V21() V22() set
[[3,{}],<*I,T*>] is V21() set
{[3,{}],<*I,T*>} is non empty V24() countable set
{{[3,{}],<*I,T*>},{[3,{}]}} is non empty V24() V28() countable set
JUMP (SubFrom (I,T)) is countable Element of K27(NAT)
{ (NIC ((SubFrom (I,T)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((SubFrom (I,T)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((SubFrom (I,T)),i1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((SubFrom (I,T)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = i1 } is set
succ i1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
i1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ i1)} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
MultBy (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[4,{},<*I,T*>] is V21() V22() set
[[4,{}],<*I,T*>] is V21() set
{[4,{}],<*I,T*>} is non empty V24() countable set
{{[4,{}],<*I,T*>},{[4,{}]}} is non empty V24() V28() countable set
JUMP (MultBy (I,T)) is countable Element of K27(NAT)
{ (NIC ((MultBy (I,T)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((MultBy (I,T)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((MultBy (I,T)),i1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((MultBy (I,T)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = i1 } is set
succ i1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
i1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ i1)} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Element of the carrier of R
I := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[5,{},<*I,T*>] is V21() V22() set
[[5,{}],<*I,T*>] is V21() set
{[5,{}],<*I,T*>} is non empty V24() countable set
{{[5,{}],<*I,T*>},{[5,{}]}} is non empty V24() V28() countable set
JUMP (I := T) is countable Element of K27(NAT)
{ (NIC ((I := T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I := T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((I := T),i1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((I := T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = i1 } is set
succ i1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
i1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{(succ i1)} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
{I} is non empty trivial V24() V28() 1 -element countable set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((goto (I,R)),T) is countable Element of K27(NAT)
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((goto (I,R)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = T } is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
Values (0. (SCM R)) is non empty set
(the_Values_of (SCM R)) . (0. (SCM R)) is set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
i1 is set
j is Element of Values (0. (SCM R))
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* ((0. (SCM R)),j) is Relation-like the carrier of (SCM R) -defined Function-like total set
the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set +* (T,(goto (I,R))) is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
u is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
u /. T is Element of the InstructionsF of (SCM R)
u . T is Element of the InstructionsF of (SCM R)
proj1 the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is set
r is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
IC r is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
r . (0. (SCM R)) is set
proj1 the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is set
Following (u,r) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
CurInstr (u,r) is Element of the InstructionsF of (SCM R)
u /. (IC r) is Element of the InstructionsF of (SCM R)
Exec ((CurInstr (u,r)),r) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (u,r))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (u,r))) . r is set
IC (Following (u,r)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Following (u,r)) . (0. (SCM R)) is set
j is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
Exec ((goto (I,R)),j) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto (I,R))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto (I,R))) . j is set
IC (Exec ((goto (I,R)),j)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((goto (I,R)),j)) . (0. (SCM R)) is set
IC j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
j . (0. (SCM R)) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
JUMP (goto (I,R)) is countable Element of K27(NAT)
{ (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{I} is non empty trivial V24() V28() 1 -element countable set
{ (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((goto (I,R)),j) is countable Element of K27(NAT)
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((goto (I,R)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = j } is set
i1 is set
meet { (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
j is set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((goto (I,R)),k) is countable Element of K27(NAT)
{ (IC (Exec ((goto (I,R)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = k } is set
NIC ((goto (I,R)),I) is countable Element of K27(NAT)
{ (IC (Exec ((goto (I,R)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = I } is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{6} is non empty trivial V24() V28() 1 -element countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
JUMP (goto (I,R)) is countable Element of K27(NAT)
{ (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{I} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((I =0_goto T),i1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((I =0_goto T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = i1 } is set
succ i1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
i1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{T,(succ i1)} is non empty V24() V28() countable set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
Values (0. (SCM R)) is non empty set
(the_Values_of (SCM R)) . (0. (SCM R)) is set
Values I is non empty set
(the_Values_of (SCM R)) . I is set
SCM-VAL R is Relation-like 2 -defined Function-like total V212() set
SCM-OK * (SCM-VAL R) is Relation-like Function-like set
s2 is Element of NonZero SCM
(SCM-OK * (SCM-VAL R)) . s2 is set
the carrier of R is non empty set
0. R is V48(R) Element of the carrier of R
r is Element of Values (0. (SCM R))
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* ((0. (SCM R)),r) is Relation-like the carrier of (SCM R) -defined Function-like total set
the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set +* (i1,(I =0_goto T)) is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
P is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
u is Element of Values I
I .--> u is Relation-like the carrier of (SCM R) -defined {I} -defined the carrier of (SCM R) -defined Values I -valued Values I -valued Function-like one-to-one constant the_Values_of (SCM R) -compatible non empty trivial V24() 1 -element countable V212() set
{I} is non empty trivial V24() 1 -element countable set
{I} --> u is Relation-like {I} -defined Values I -valued Function-like constant non empty V24() total V36({I},{u}) countable V212() Element of K27(K28({I},{u}))
{u} is non empty trivial V24() 1 -element countable set
K28({I},{u}) is Relation-like V24() countable set
K27(K28({I},{u})) is V24() V28() countable set
P +* (I .--> u) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
proj1 the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is set
proj1 (I .--> u) is non empty trivial V24() 1 -element countable set
e is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
IC e is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
e . (0. (SCM R)) is set
IC P is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
P . (0. (SCM R)) is set
x is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
x /. i1 is Element of the InstructionsF of (SCM R)
x . i1 is Element of the InstructionsF of (SCM R)
proj1 the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is set
e . I is Element of the carrier of R
(I .--> u) . I is set
Following (x,e) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
CurInstr (x,e) is Element of the InstructionsF of (SCM R)
x /. (IC e) is Element of the InstructionsF of (SCM R)
Exec ((CurInstr (x,e)),e) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (x,e))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (x,e))) . e is set
IC (Following (x,e)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Following (x,e)) . (0. (SCM R)) is set
E is set
v is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
Exec ((I =0_goto T),v) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(I =0_goto T)) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(I =0_goto T)) . v is set
IC (Exec ((I =0_goto T),v)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((I =0_goto T),v)) . (0. (SCM R)) is set
IC v is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
v . (0. (SCM R)) is set
v . I is Element of the carrier of R
v . I is Element of the carrier of R
v . I is Element of the carrier of R
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto i1 is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*i1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*i1*>,<*I*>] is V21() V22() set
[7,<*i1*>] is V21() set
{7,<*i1*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*i1*>},{7}} is non empty V24() V28() countable set
[[7,<*i1*>],<*I*>] is V21() set
{[7,<*i1*>],<*I*>} is non empty V24() countable set
{[7,<*i1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*i1*>],<*I*>},{[7,<*i1*>]}} is non empty V24() V28() countable set
NIC ((I =0_goto i1),T) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((I =0_goto i1),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = T } is set
succ T is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
T + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{i1,(succ T)} is non empty V24() V28() countable set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
Values I is non empty set
(the_Values_of (SCM R)) . I is set
SCM-VAL R is Relation-like 2 -defined Function-like total V212() set
SCM-OK * (SCM-VAL R) is Relation-like Function-like set
s2 is Element of NonZero SCM
(SCM-OK * (SCM-VAL R)) . s2 is set
the carrier of R is non empty non trivial set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
Values (0. (SCM R)) is non empty set
(the_Values_of (SCM R)) . (0. (SCM R)) is set
r is Element of Values (0. (SCM R))
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* ((0. (SCM R)),r) is Relation-like the carrier of (SCM R) -defined Function-like total set
the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set +* (T,(I =0_goto i1)) is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
x is set
proj1 the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is set
0. R is V48(R) Element of the carrier of R
u is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
e is Element of Values I
I .--> e is Relation-like the carrier of (SCM R) -defined {I} -defined the carrier of (SCM R) -defined Values I -valued Values I -valued Function-like one-to-one constant the_Values_of (SCM R) -compatible non empty trivial V24() 1 -element countable V212() set
{I} is non empty trivial V24() 1 -element countable set
{I} --> e is Relation-like {I} -defined Values I -valued Function-like constant non empty V24() total V36({I},{e}) countable V212() Element of K27(K28({I},{e}))
{e} is non empty trivial V24() 1 -element countable set
K28({I},{e}) is Relation-like V24() countable set
K27(K28({I},{e})) is V24() V28() countable set
u +* (I .--> e) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
proj1 (I .--> e) is non empty trivial V24() 1 -element countable set
E is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
IC E is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
E . (0. (SCM R)) is set
IC u is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
u . (0. (SCM R)) is set
P is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
P /. T is Element of the InstructionsF of (SCM R)
P . T is Element of the InstructionsF of (SCM R)
proj1 the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is set
E . I is Element of the carrier of R
(I .--> e) . I is set
Following (P,E) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
CurInstr (P,E) is Element of the InstructionsF of (SCM R)
P /. (IC E) is Element of the InstructionsF of (SCM R)
Exec ((CurInstr (P,E)),E) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (P,E))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (P,E))) . E is set
IC (Following (P,E)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Following (P,E)) . (0. (SCM R)) is set
0. R is V48(R) Element of the carrier of R
e is Element of the carrier of R
u is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
E is Element of Values I
I .--> E is Relation-like the carrier of (SCM R) -defined {I} -defined the carrier of (SCM R) -defined Values I -valued Values I -valued Function-like one-to-one constant the_Values_of (SCM R) -compatible non empty trivial V24() 1 -element countable V212() set
{I} is non empty trivial V24() 1 -element countable set
{I} --> E is Relation-like {I} -defined Values I -valued Function-like constant non empty V24() total V36({I},{E}) countable V212() Element of K27(K28({I},{E}))
{E} is non empty trivial V24() 1 -element countable set
K28({I},{E}) is Relation-like V24() countable set
K27(K28({I},{E})) is V24() V28() countable set
u +* (I .--> E) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
proj1 (I .--> E) is non empty trivial V24() 1 -element countable set
v is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R))
IC v is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
v . (0. (SCM R)) is set
IC u is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
u . (0. (SCM R)) is set
P is Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set
P /. T is Element of the InstructionsF of (SCM R)
P . T is Element of the InstructionsF of (SCM R)
proj1 the Relation-like NAT -defined the InstructionsF of (SCM R) -valued Function-like total set is set
v . I is Element of the carrier of R
(I .--> E) . I is set
Following (P,v) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
CurInstr (P,v) is Element of the InstructionsF of (SCM R)
P /. (IC v) is Element of the InstructionsF of (SCM R)
Exec ((CurInstr (P,v)),v) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (P,v))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(CurInstr (P,v))) . v is set
IC (Following (P,v)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Following (P,v)) . (0. (SCM R)) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
JUMP (I =0_goto T) is countable Element of K27(NAT)
{ (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{T} is non empty trivial V24() V28() 1 -element countable set
{ (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
k is set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((I =0_goto T),s1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((I =0_goto T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = s1 } is set
j is set
meet { (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((I =0_goto T),s1) is countable Element of K27(NAT)
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec ((I =0_goto T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = s1 } is set
succ s1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
s1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{T,(succ s1)} is non empty V24() V28() countable set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
NIC ((I =0_goto T),k) is countable Element of K27(NAT)
{ (IC (Exec ((I =0_goto T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = k } is set
succ k is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
k + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{T,(succ k)} is non empty V24() V28() countable set
NIC ((I =0_goto T),T) is countable Element of K27(NAT)
{ (IC (Exec ((I =0_goto T),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = T } is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
the carrier of (SCM R) is non empty set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I is Int-like Element of the carrier of (SCM R)
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{7} is non empty trivial V24() V28() 1 -element countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
JUMP (I =0_goto T) is countable Element of K27(NAT)
{ (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{T} is non empty trivial V24() V28() 1 -element countable set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
SUCC (I,(SCM R)) is countable Element of K27(NAT)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
{ ((NIC (b1,I)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b1,I)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
succ I is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
I + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{I,(succ I)} is non empty V24() V28() countable set
j is set
k is set
s1 is Element of the InstructionsF of (SCM R)
NIC (s1,I) is countable Element of K27(NAT)
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
product (the_Values_of (SCM R)) is functional non empty with_common_domain product-like set
{ (IC (Exec (s1,b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = I } is set
JUMP s1 is countable Element of K27(NAT)
{ (NIC (s1,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC (s1,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
(NIC (s1,I)) \ (JUMP s1) is countable Element of K27(NAT)
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
{I} is non empty trivial V24() V28() 1 -element countable set
JUMP (halt (SCM R)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{I} \ (JUMP (halt (SCM R))) is V24() V28() countable Element of K27({I})
K27({I}) is V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
s2 := r is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[1,{},<*s2,r*>] is V21() V22() set
[[1,{}],<*s2,r*>] is V21() set
{[1,{}],<*s2,r*>} is non empty V24() countable set
{{[1,{}],<*s2,r*>},{[1,{}]}} is non empty V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
s2 := r is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[1,{},<*s2,r*>] is V21() V22() set
[[1,{}],<*s2,r*>] is V21() set
{[1,{}],<*s2,r*>} is non empty V24() countable set
{{[1,{}],<*s2,r*>},{[1,{}]}} is non empty V24() V28() countable set
{(succ I)} is non empty trivial V24() V28() 1 -element countable set
JUMP (s2 := r) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((s2 := r),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((s2 := r),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (s2 := r)) is V24() V28() countable Element of K27({(succ I)})
K27({(succ I)}) is V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
AddTo (s2,r) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[2,{},<*s2,r*>] is V21() V22() set
[[2,{}],<*s2,r*>] is V21() set
{[2,{}],<*s2,r*>} is non empty V24() countable set
{{[2,{}],<*s2,r*>},{[2,{}]}} is non empty V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
AddTo (s2,r) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[2,{},<*s2,r*>] is V21() V22() set
[[2,{}],<*s2,r*>] is V21() set
{[2,{}],<*s2,r*>} is non empty V24() countable set
{{[2,{}],<*s2,r*>},{[2,{}]}} is non empty V24() V28() countable set
{(succ I)} is non empty trivial V24() V28() 1 -element countable set
JUMP (AddTo (s2,r)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((AddTo (s2,r)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((AddTo (s2,r)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (AddTo (s2,r))) is V24() V28() countable Element of K27({(succ I)})
K27({(succ I)}) is V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
SubFrom (s2,r) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[3,{},<*s2,r*>] is V21() V22() set
[[3,{}],<*s2,r*>] is V21() set
{[3,{}],<*s2,r*>} is non empty V24() countable set
{{[3,{}],<*s2,r*>},{[3,{}]}} is non empty V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
SubFrom (s2,r) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[3,{},<*s2,r*>] is V21() V22() set
[[3,{}],<*s2,r*>] is V21() set
{[3,{}],<*s2,r*>} is non empty V24() countable set
{{[3,{}],<*s2,r*>},{[3,{}]}} is non empty V24() V28() countable set
{(succ I)} is non empty trivial V24() V28() 1 -element countable set
JUMP (SubFrom (s2,r)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((SubFrom (s2,r)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((SubFrom (s2,r)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (SubFrom (s2,r))) is V24() V28() countable Element of K27({(succ I)})
K27({(succ I)}) is V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
MultBy (s2,r) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[4,{},<*s2,r*>] is V21() V22() set
[[4,{}],<*s2,r*>] is V21() set
{[4,{}],<*s2,r*>} is non empty V24() countable set
{{[4,{}],<*s2,r*>},{[4,{}]}} is non empty V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Int-like Element of the carrier of (SCM R)
MultBy (s2,r) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[4,{},<*s2,r*>] is V21() V22() set
[[4,{}],<*s2,r*>] is V21() set
{[4,{}],<*s2,r*>} is non empty V24() countable set
{{[4,{}],<*s2,r*>},{[4,{}]}} is non empty V24() V28() countable set
{(succ I)} is non empty trivial V24() V28() 1 -element countable set
JUMP (MultBy (s2,r)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((MultBy (s2,r)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((MultBy (s2,r)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (MultBy (s2,r))) is V24() V28() countable Element of K27({(succ I)})
K27({(succ I)}) is V24() V28() countable set
s2 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (s2,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s2*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*s2*>,{}] is V21() V22() set
[6,<*s2*>] is V21() set
{6,<*s2*>} is non empty V24() countable set
{{6,<*s2*>},{6}} is non empty V24() V28() countable set
[[6,<*s2*>],{}] is V21() set
{[6,<*s2*>],{}} is non empty V24() countable set
{[6,<*s2*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*s2*>],{}},{[6,<*s2*>]}} is non empty V24() V28() countable set
s2 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (s2,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s2*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*s2*>,{}] is V21() V22() set
[6,<*s2*>] is V21() set
{6,<*s2*>} is non empty V24() countable set
{{6,<*s2*>},{6}} is non empty V24() V28() countable set
[[6,<*s2*>],{}] is V21() set
{[6,<*s2*>],{}} is non empty V24() countable set
{[6,<*s2*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*s2*>],{}},{[6,<*s2*>]}} is non empty V24() V28() countable set
{s2} is non empty trivial V24() V28() 1 -element countable set
{s2} \ (JUMP s1) is V24() V28() countable Element of K27({s2})
K27({s2}) is V24() V28() countable set
{s2} \ {s2} is V24() V28() countable Element of K27({s2})
r is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
s2 is Int-like Element of the carrier of (SCM R)
s2 =0_goto r is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*s2*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*r*>,<*s2*>] is V21() V22() set
[7,<*r*>] is V21() set
{7,<*r*>} is non empty V24() countable set
{{7,<*r*>},{7}} is non empty V24() V28() countable set
[[7,<*r*>],<*s2*>] is V21() set
{[7,<*r*>],<*s2*>} is non empty V24() countable set
{[7,<*r*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*r*>],<*s2*>},{[7,<*r*>]}} is non empty V24() V28() countable set
r is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
s2 is Int-like Element of the carrier of (SCM R)
s2 =0_goto r is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*s2*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*r*>,<*s2*>] is V21() V22() set
[7,<*r*>] is V21() set
{7,<*r*>} is non empty V24() countable set
{{7,<*r*>},{7}} is non empty V24() V28() countable set
[[7,<*r*>],<*s2*>] is V21() set
{[7,<*r*>],<*s2*>} is non empty V24() countable set
{[7,<*r*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*r*>],<*s2*>},{[7,<*r*>]}} is non empty V24() V28() countable set
{r,(succ I)} is non empty V24() V28() countable set
{r} is non empty trivial V24() V28() 1 -element countable set
(NIC (s1,I)) \ {r} is countable Element of K27(NAT)
the carrier of R is non empty set
s2 is Int-like Element of the carrier of (SCM R)
r is Element of the carrier of R
s2 := r is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[5,{},<*s2,r*>] is V21() V22() set
[[5,{}],<*s2,r*>] is V21() set
{[5,{}],<*s2,r*>} is non empty V24() countable set
{{[5,{}],<*s2,r*>},{[5,{}]}} is non empty V24() V28() countable set
s2 is Int-like Element of the carrier of (SCM R)
r is Element of the carrier of R
s2 := r is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*s2,r*> is set
[5,{},<*s2,r*>] is V21() V22() set
[[5,{}],<*s2,r*>] is V21() set
{[5,{}],<*s2,r*>} is non empty V24() countable set
{{[5,{}],<*s2,r*>},{[5,{}]}} is non empty V24() V28() countable set
{(succ I)} is non empty trivial V24() V28() 1 -element countable set
JUMP (s2 := r) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((s2 := r),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((s2 := r),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (s2 := r)) is V24() V28() countable Element of K27({(succ I)})
K27({(succ I)}) is V24() V28() countable set
the carrier of R is non empty set
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
NIC ((halt (SCM R)),I) is countable Element of K27(NAT)
{ (IC (Exec ((halt (SCM R)),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = I } is set
JUMP (halt (SCM R)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
(NIC ((halt (SCM R)),I)) \ (JUMP (halt (SCM R))) is countable Element of K27(NAT)
{I} is non empty trivial V24() V28() 1 -element countable set
{ ((NIC (b2,I)) \ (JUMP b2)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b2,I)) \ (JUMP b2)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
the Int-like Element of the carrier of (SCM R) is Int-like Element of the carrier of (SCM R)
AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*> is set
[2,{},<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() V22() set
[[2,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>] is V21() set
{[2,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>} is non empty V24() countable set
{{[2,{}],<* the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)*>},{[2,{}]}} is non empty V24() V28() countable set
NIC ((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))),I) is countable Element of K27(NAT)
{ (IC (Exec ((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))),b1))) where b1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total Element of product (the_Values_of (SCM R)) : IC b1 = I } is set
JUMP (AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
(NIC ((AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R))),I)) \ (JUMP (AddTo ( the Int-like Element of the carrier of (SCM R), the Int-like Element of the carrier of (SCM R)))) is countable Element of K27(NAT)
{(succ I)} is non empty trivial V24() V28() 1 -element countable set
{ ((NIC (b2,I)) \ (JUMP b2)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b2,I)) \ (JUMP b2)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
{ ((NIC (b2,I)) \ (JUMP b2)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b2,I)) \ (JUMP b2)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
SUCC (I,(SCM R)) is countable Element of K27(NAT)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
{ ((NIC (b1,I)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b1,I)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
succ T is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
T + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
{I,(succ T)} is non empty V24() V28() countable set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
succ j is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
j + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
succ j is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
j + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
SUCC (I,(SCM R)) is countable Element of K27(NAT)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
{ ((NIC (b1,I)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b1,I)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
SUCC (T,(SCM R)) is countable Element of K27(NAT)
{ ((NIC (b1,T)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
union { ((NIC (b1,T)) \ (JUMP b1)) where b1 is Element of the InstructionsF of (SCM R) : verum } is set
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
dl. I is Int-like Element of the carrier of SCM
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
InsCode (halt (SCM R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((halt (SCM R))) is set
K41(K41((halt (SCM R)))) is set
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
i1 is Element of the InstructionsF of (SCM R)
InsCode i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(i1) is set
K41(K41(i1)) is set
T is Element of the carrier of (SCM R)
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
I is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec (i1,I) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),i1) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),i1) . I is set
(Exec (i1,I)) . T is set
I . T is set
I is Element of InsCodes the InstructionsF of (SCM R)
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
halt (SCM R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
InsCode (halt (SCM R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((halt (SCM R))) is set
K41(K41((halt (SCM R)))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
InsCode (goto (I,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((goto (I,R))) is set
K41(K41((goto (I,R)))) is set
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
k is Element of the InstructionsF of (SCM R)
InsCode k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(k) is set
K41(K41(k)) is set
j is Element of the carrier of (SCM R)
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
i1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec (k,i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),k) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),k) . i1 is set
(Exec (k,i1)) . j is set
i1 . j is set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (s1,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*s1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*s1*>,{}] is V21() V22() set
[6,<*s1*>] is V21() set
{6,<*s1*>} is non empty V24() countable set
{{6,<*s1*>},{6}} is non empty V24() V28() countable set
[[6,<*s1*>],{}] is V21() set
{[6,<*s1*>],{}} is non empty V24() countable set
{[6,<*s1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*s1*>],{}},{[6,<*s1*>]}} is non empty V24() V28() countable set
i1 is Element of InsCodes the InstructionsF of (SCM R)
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
InsCode (goto (I,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((goto (I,R))) is set
K41(K41((goto (I,R)))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I is Int-like Element of the carrier of (SCM R)
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
InsCode (I =0_goto T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((I =0_goto T)) is set
K41(K41((I =0_goto T))) is set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
s1 is Element of the InstructionsF of (SCM R)
InsCode s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(s1) is set
K41(K41(s1)) is set
k is Element of the carrier of (SCM R)
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
j is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec (s1,j) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),s1) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),s1) . j is set
(Exec (s1,j)) . k is set
j . k is set
r is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
s2 is Int-like Element of the carrier of (SCM R)
s2 =0_goto r is V153(2, SCM R) Element of the InstructionsF of (SCM R)
<*r*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*s2*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*r*>,<*s2*>] is V21() V22() set
[7,<*r*>] is V21() set
{7,<*r*>} is non empty V24() countable set
{{7,<*r*>},{7}} is non empty V24() V28() countable set
[[7,<*r*>],<*s2*>] is V21() set
{[7,<*r*>],<*s2*>} is non empty V24() countable set
{[7,<*r*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*r*>],<*s2*>},{[7,<*r*>]}} is non empty V24() V28() countable set
j is Element of InsCodes the InstructionsF of (SCM R)
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I is Int-like Element of the carrier of (SCM R)
I =0_goto T is V153(2, SCM R) Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
InsCode (I =0_goto T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((I =0_goto T)) is set
K41(K41((I =0_goto T))) is set
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
I := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*I,T*> is set
[1,{},<*I,T*>] is V21() V22() set
[[1,{}],<*I,T*>] is V21() set
{[1,{}],<*I,T*>} is non empty V24() countable set
{{[1,{}],<*I,T*>},{[1,{}]}} is non empty V24() V28() countable set
InsCode (I := T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((I := T)) is set
K41(K41((I := T))) is set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
the carrier of R is non empty non trivial set
0. R is V48(R) Element of the carrier of R
j is Element of the carrier of R
(R,0) is Int-like Element of the carrier of (SCM R)
dl. 0 is Int-like Element of the carrier of SCM
(R,1) is Int-like Element of the carrier of (SCM R)
dl. 1 is Int-like Element of the carrier of SCM
k is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable V212() set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
proj1 (R,(R,0),(R,1),(0. R),k) is non empty V24() countable set
{(R,0),(R,1)} is non empty V24() countable set
(R,0) := (R,1) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*(R,0),(R,1)*> is set
[1,{},<*(R,0),(R,1)*>] is V21() V22() set
[[1,{}],<*(R,0),(R,1)*>] is V21() set
{[1,{}],<*(R,0),(R,1)*>} is non empty V24() countable set
{{[1,{}],<*(R,0),(R,1)*>},{[1,{}]}} is non empty V24() V28() countable set
InsCode ((R,0) := (R,1)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(((R,0) := (R,1))) is set
K41(K41(((R,0) := (R,1)))) is set
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,0) is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) . (R,0) is set
Exec (((R,0) := (R,1)),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),((R,0) := (R,1))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),((R,0) := (R,1))) . ( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) is set
(Exec (((R,0) := (R,1)),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)))) . (R,0) is Element of the carrier of R
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,1) is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) . (R,1) is set
s2 is Element of InsCodes the InstructionsF of (SCM R)
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
I := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[1,{},<*I,T*>] is V21() V22() set
[[1,{}],<*I,T*>] is V21() set
{[1,{}],<*I,T*>} is non empty V24() countable set
{{[1,{}],<*I,T*>},{[1,{}]}} is non empty V24() V28() countable set
InsCode (I := T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable non jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((I := T)) is set
K41(K41((I := T))) is set
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
AddTo (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*I,T*> is set
[2,{},<*I,T*>] is V21() V22() set
[[2,{}],<*I,T*>] is V21() set
{[2,{}],<*I,T*>} is non empty V24() countable set
{{[2,{}],<*I,T*>},{[2,{}]}} is non empty V24() V28() countable set
InsCode (AddTo (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((AddTo (I,T))) is set
K41(K41((AddTo (I,T)))) is set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
the carrier of R is non empty non trivial set
0. R is V48(R) Element of the carrier of R
j is Element of the carrier of R
(R,0) is Int-like Element of the carrier of (SCM R)
dl. 0 is Int-like Element of the carrier of SCM
(R,1) is Int-like Element of the carrier of (SCM R)
dl. 1 is Int-like Element of the carrier of SCM
k is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable V212() set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
proj1 (R,(R,0),(R,1),(0. R),k) is non empty V24() countable set
{(R,0),(R,1)} is non empty V24() countable set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,0) is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) . (R,0) is set
AddTo ((R,0),(R,1)) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*(R,0),(R,1)*> is set
[2,{},<*(R,0),(R,1)*>] is V21() V22() set
[[2,{}],<*(R,0),(R,1)*>] is V21() set
{[2,{}],<*(R,0),(R,1)*>} is non empty V24() countable set
{{[2,{}],<*(R,0),(R,1)*>},{[2,{}]}} is non empty V24() V28() countable set
InsCode (AddTo ((R,0),(R,1))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((AddTo ((R,0),(R,1)))) is set
K41(K41((AddTo ((R,0),(R,1))))) is set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,1) is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) . (R,1) is set
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
Exec ((AddTo ((R,0),(R,1))),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(AddTo ((R,0),(R,1)))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(AddTo ((R,0),(R,1)))) . ( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) is set
(Exec ((AddTo ((R,0),(R,1))),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)))) . (R,0) is Element of the carrier of R
(( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,0)) + (( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,1)) is Element of the carrier of R
s2 is Element of InsCodes the InstructionsF of (SCM R)
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
AddTo (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[2,{},<*I,T*>] is V21() V22() set
[[2,{}],<*I,T*>] is V21() set
{[2,{}],<*I,T*>} is non empty V24() countable set
{{[2,{}],<*I,T*>},{[2,{}]}} is non empty V24() V28() countable set
InsCode (AddTo (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable non jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((AddTo (I,T))) is set
K41(K41((AddTo (I,T)))) is set
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
SubFrom (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*I,T*> is set
[3,{},<*I,T*>] is V21() V22() set
[[3,{}],<*I,T*>] is V21() set
{[3,{}],<*I,T*>} is non empty V24() countable set
{{[3,{}],<*I,T*>},{[3,{}]}} is non empty V24() V28() countable set
InsCode (SubFrom (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((SubFrom (I,T))) is set
K41(K41((SubFrom (I,T)))) is set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
the carrier of R is non empty non trivial set
0. R is V48(R) Element of the carrier of R
j is Element of the carrier of R
k is Element of the carrier of R
- k is Element of the carrier of R
- (0. R) is Element of the carrier of R
(R,0) is Int-like Element of the carrier of (SCM R)
dl. 0 is Int-like Element of the carrier of SCM
(R,1) is Int-like Element of the carrier of (SCM R)
dl. 1 is Int-like Element of the carrier of SCM
(R,(R,0),(R,1),(0. R),k) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable V212() set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
SubFrom ((R,0),(R,1)) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*(R,0),(R,1)*> is set
[3,{},<*(R,0),(R,1)*>] is V21() V22() set
[[3,{}],<*(R,0),(R,1)*>] is V21() set
{[3,{}],<*(R,0),(R,1)*>} is non empty V24() countable set
{{[3,{}],<*(R,0),(R,1)*>},{[3,{}]}} is non empty V24() V28() countable set
InsCode (SubFrom ((R,0),(R,1))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((SubFrom ((R,0),(R,1)))) is set
K41(K41((SubFrom ((R,0),(R,1))))) is set
proj1 (R,(R,0),(R,1),(0. R),k) is non empty V24() countable set
{(R,0),(R,1)} is non empty V24() countable set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,0) is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) . (R,0) is set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,1) is Element of the carrier of R
(R,(R,0),(R,1),(0. R),k) . (R,1) is set
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
Exec ((SubFrom ((R,0),(R,1))),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(SubFrom ((R,0),(R,1)))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(SubFrom ((R,0),(R,1)))) . ( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) is set
(Exec ((SubFrom ((R,0),(R,1))),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)))) . (R,0) is Element of the carrier of R
(( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,0)) - (( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(0. R),k)) . (R,1)) is Element of the carrier of R
s2 is Element of InsCodes the InstructionsF of (SCM R)
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
SubFrom (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[3,{},<*I,T*>] is V21() V22() set
[[3,{}],<*I,T*>] is V21() set
{[3,{}],<*I,T*>} is non empty V24() countable set
{{[3,{}],<*I,T*>},{[3,{}]}} is non empty V24() V28() countable set
InsCode (SubFrom (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable non jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((SubFrom (I,T))) is set
K41(K41((SubFrom (I,T)))) is set
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
MultBy (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*I,T*> is set
[4,{},<*I,T*>] is V21() V22() set
[[4,{}],<*I,T*>] is V21() set
{[4,{}],<*I,T*>} is non empty V24() countable set
{{[4,{}],<*I,T*>},{[4,{}]}} is non empty V24() V28() countable set
InsCode (MultBy (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((MultBy (I,T))) is set
K41(K41((MultBy (I,T)))) is set
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
0. R is V48(R) Element of the carrier of R
the carrier of R is non empty non trivial set
1_ R is Element of the carrier of R
K135(R) is Element of the carrier of R
(R,0) is Int-like Element of the carrier of (SCM R)
dl. 0 is Int-like Element of the carrier of SCM
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
(R,1) is Int-like Element of the carrier of (SCM R)
dl. 1 is Int-like Element of the carrier of SCM
(R,(R,0),(R,1),(1_ R),(0. R)) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable V212() set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R)) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty total set
MultBy ((R,0),(R,1)) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*(R,0),(R,1)*> is set
[4,{},<*(R,0),(R,1)*>] is V21() V22() set
[[4,{}],<*(R,0),(R,1)*>] is V21() set
{[4,{}],<*(R,0),(R,1)*>} is non empty V24() countable set
{{[4,{}],<*(R,0),(R,1)*>},{[4,{}]}} is non empty V24() V28() countable set
InsCode (MultBy ((R,0),(R,1))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((MultBy ((R,0),(R,1)))) is set
K41(K41((MultBy ((R,0),(R,1))))) is set
proj1 (R,(R,0),(R,1),(1_ R),(0. R)) is non empty V24() countable set
{(R,0),(R,1)} is non empty V24() countable set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R))) . (R,0) is Element of the carrier of R
(R,(R,0),(R,1),(1_ R),(0. R)) . (R,0) is set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R))) . (R,1) is Element of the carrier of R
(R,(R,0),(R,1),(1_ R),(0. R)) . (R,1) is set
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
Exec ((MultBy ((R,0),(R,1))),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R)))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(MultBy ((R,0),(R,1)))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(MultBy ((R,0),(R,1)))) . ( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R))) is set
(Exec ((MultBy ((R,0),(R,1))),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R))))) . (R,0) is Element of the carrier of R
(( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R))) . (R,0)) * (( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* (R,(R,0),(R,1),(1_ R),(0. R))) . (R,1)) is Element of the carrier of R
k is Element of InsCodes the InstructionsF of (SCM R)
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
I is Int-like Element of the carrier of (SCM R)
T is Int-like Element of the carrier of (SCM R)
MultBy (I,T) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[4,{},<*I,T*>] is V21() V22() set
[[4,{}],<*I,T*>] is V21() set
{[4,{}],<*I,T*>} is non empty V24() countable set
{{[4,{}],<*I,T*>},{[4,{}]}} is non empty V24() V28() countable set
InsCode (MultBy (I,T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable non jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((MultBy (I,T))) is set
K41(K41((MultBy (I,T)))) is set
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the carrier of R is non empty non trivial set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
I is Int-like Element of the carrier of (SCM R)
T is Element of the carrier of R
I := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*I,T*> is set
[5,{},<*I,T*>] is V21() V22() set
[[5,{}],<*I,T*>] is V21() set
{[5,{}],<*I,T*>} is non empty V24() countable set
{{[5,{}],<*I,T*>},{[5,{}]}} is non empty V24() V28() countable set
InsCode (I := T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41((I := T)) is set
K41(K41((I := T))) is set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
(R,0) is Int-like Element of the carrier of (SCM R)
dl. 0 is Int-like Element of the carrier of SCM
(R,0) := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*(R,0),T*> is set
[5,{},<*(R,0),T*>] is V21() V22() set
[[5,{}],<*(R,0),T*>] is V21() set
{[5,{}],<*(R,0),T*>} is non empty V24() countable set
{{[5,{}],<*(R,0),T*>},{[5,{}]}} is non empty V24() V28() countable set
InsCode ((R,0) := T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(((R,0) := T)) is set
K41(K41(((R,0) := T))) is set
{T} is non empty trivial V24() 1 -element countable set
j is set
Values (R,0) is non empty set
(the_Values_of (SCM R)) . (R,0) is set
k is Element of Values (R,0)
(R,0) .--> k is Relation-like the carrier of (SCM R) -defined {(R,0)} -defined the carrier of (SCM R) -defined Values (R,0) -valued Values (R,0) -valued Function-like one-to-one constant the_Values_of (SCM R) -compatible non empty trivial V24() 1 -element countable V212() set
{(R,0)} is non empty trivial V24() 1 -element countable set
{(R,0)} --> k is Relation-like {(R,0)} -defined Values (R,0) -valued Function-like constant non empty V24() total V36({(R,0)},{k}) countable V212() Element of K27(K28({(R,0)},{k}))
{k} is non empty trivial V24() 1 -element countable set
K28({(R,0)},{k}) is Relation-like V24() countable set
K27(K28({(R,0)},{k})) is V24() V28() countable set
s1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible set
the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* s1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
proj1 ((R,0) .--> k) is non empty trivial V24() 1 -element countable set
( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* s1) . (R,0) is Element of the carrier of R
((R,0) .--> k) . (R,0) is set
NonZero (SCM R) is Element of K27( the carrier of (SCM R))
K27( the carrier of (SCM R)) is set
Exec (((R,0) := T),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* s1)) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),((R,0) := T)) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),((R,0) := T)) . ( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* s1) is set
(Exec (((R,0) := T),( the Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set +* s1))) . (R,0) is Element of the carrier of R
r is Element of InsCodes the InstructionsF of (SCM R)
R is non empty non trivial V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the carrier of R is non empty non trivial set
I is Int-like Element of the carrier of (SCM R)
T is Element of the carrier of R
I := T is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I,T*> is set
[5,{},<*I,T*>] is V21() V22() set
[[5,{}],<*I,T*>] is V21() set
{[5,{}],<*I,T*>} is non empty V24() countable set
{{[5,{}],<*I,T*>},{[5,{}]}} is non empty V24() V28() countable set
InsCode (I := T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable non jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41((I := T)) is set
K41(K41((I := T))) is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) jump-only Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
JUMP (goto (I,R)) is non empty trivial V24() 1 -element countable Element of K27(NAT)
{ (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((goto (I,R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I is Int-like Element of the carrier of (SCM R)
I =0_goto T is V153(2, SCM R) jump-only Element of the InstructionsF of (SCM R)
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
JUMP (I =0_goto T) is non empty trivial V24() 1 -element countable Element of K27(NAT)
{ (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I =0_goto T),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
JumpPart (goto (I,R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((goto (I,R))) is set
AddressPart K41((goto (I,R))) is set
dom (JumpPart (goto (I,R))) is countable Element of K27(NAT)
dom <*I*> is countable Element of K27(NAT)
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I is Int-like Element of the carrier of (SCM R)
I =0_goto T is V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
JumpPart (I =0_goto T) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((I =0_goto T)) is set
AddressPart K41((I =0_goto T)) is set
dom (JumpPart (I =0_goto T)) is countable Element of K27(NAT)
dom <*T*> is countable Element of K27(NAT)
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Element of the InstructionsF of (SCM R)
JUMP I is countable Element of K27(NAT)
{ (NIC (I,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC (I,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
JumpPart I is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41(I) is set
AddressPart K41(I) is set
proj2 (JumpPart I) is V190() V191() V192() V193() V195() set
T is set
halt (SCM R) is V153(2, SCM R) V153(2, SCM R) jump-only Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
JUMP (halt (SCM R)) is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() Element of K27(NAT)
{ (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
meet { (NIC ((halt (SCM R)),b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT : verum } is set
the carrier of (SCM R) is non empty set
i1 is Int-like Element of the carrier of (SCM R)
j is Int-like Element of the carrier of (SCM R)
i1 := j is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*i1,j*> is set
[1,{},<*i1,j*>] is V21() V22() set
[[1,{}],<*i1,j*>] is V21() set
{[1,{}],<*i1,j*>} is non empty V24() countable set
{{[1,{}],<*i1,j*>},{[1,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
i1 is Int-like Element of the carrier of (SCM R)
j is Int-like Element of the carrier of (SCM R)
AddTo (i1,j) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*i1,j*> is set
[2,{},<*i1,j*>] is V21() V22() set
[[2,{}],<*i1,j*>] is V21() set
{[2,{}],<*i1,j*>} is non empty V24() countable set
{{[2,{}],<*i1,j*>},{[2,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
i1 is Int-like Element of the carrier of (SCM R)
j is Int-like Element of the carrier of (SCM R)
SubFrom (i1,j) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*i1,j*> is set
[3,{},<*i1,j*>] is V21() V22() set
[[3,{}],<*i1,j*>] is V21() set
{[3,{}],<*i1,j*>} is non empty V24() countable set
{{[3,{}],<*i1,j*>},{[3,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
i1 is Int-like Element of the carrier of (SCM R)
j is Int-like Element of the carrier of (SCM R)
MultBy (i1,j) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*i1,j*> is set
[4,{},<*i1,j*>] is V21() V22() set
[[4,{}],<*i1,j*>] is V21() set
{[4,{}],<*i1,j*>} is non empty V24() countable set
{{[4,{}],<*i1,j*>},{[4,{}]}} is non empty V24() V28() countable set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (i1,R) is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*i1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*i1*>,{}] is V21() V22() set
[6,<*i1*>] is V21() set
{6,<*i1*>} is non empty V24() countable set
{{6,<*i1*>},{6}} is non empty V24() V28() countable set
[[6,<*i1*>],{}] is V21() set
{[6,<*i1*>],{}} is non empty V24() countable set
{[6,<*i1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*i1*>],{}},{[6,<*i1*>]}} is non empty V24() V28() countable set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (i1,R) is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*i1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*i1*>,{}] is V21() V22() set
[6,<*i1*>] is V21() set
{6,<*i1*>} is non empty V24() countable set
{{6,<*i1*>},{6}} is non empty V24() V28() countable set
[[6,<*i1*>],{}] is V21() set
{[6,<*i1*>],{}} is non empty V24() countable set
{[6,<*i1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*i1*>],{}},{[6,<*i1*>]}} is non empty V24() V28() countable set
JumpPart (goto (i1,R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((goto (i1,R))) is set
AddressPart K41((goto (i1,R))) is set
proj2 <*i1*> is set
{i1} is non empty trivial V24() V28() 1 -element countable set
the carrier of (SCM R) is non empty set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 is Int-like Element of the carrier of (SCM R)
i1 =0_goto j is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*i1*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*j*>,<*i1*>] is V21() V22() set
[7,<*j*>] is V21() set
{7,<*j*>} is non empty V24() countable set
{{7,<*j*>},{7}} is non empty V24() V28() countable set
[[7,<*j*>],<*i1*>] is V21() set
{[7,<*j*>],<*i1*>} is non empty V24() countable set
{[7,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*j*>],<*i1*>},{[7,<*j*>]}} is non empty V24() V28() countable set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 is Int-like Element of the carrier of (SCM R)
i1 =0_goto j is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*i1*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*j*>,<*i1*>] is V21() V22() set
[7,<*j*>] is V21() set
{7,<*j*>} is non empty V24() countable set
{{7,<*j*>},{7}} is non empty V24() V28() countable set
[[7,<*j*>],<*i1*>] is V21() set
{[7,<*j*>],<*i1*>} is non empty V24() countable set
{[7,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*j*>],<*i1*>},{[7,<*j*>]}} is non empty V24() V28() countable set
JumpPart (i1 =0_goto j) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((i1 =0_goto j)) is set
AddressPart K41((i1 =0_goto j)) is set
proj2 <*j*> is set
{j} is non empty trivial V24() V28() 1 -element countable set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
i1 is Int-like Element of the carrier of (SCM R)
j is Element of the carrier of R
i1 := j is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*i1,j*> is set
[5,{},<*i1,j*>] is V21() V22() set
[[5,{}],<*i1,j*>] is V21() set
{[5,{}],<*i1,j*>} is non empty V24() countable set
{{[5,{}],<*i1,j*>},{[5,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
T is set
dom (JumpPart I) is countable Element of K27(NAT)
i1 is set
(JumpPart I) . i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
halt (SCM R) is V153(2, SCM R) V153(2, SCM R) jump-only Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free Element of the InstructionsF of (SCM R)
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
j := k is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[1,{},<*j,k*>] is V21() V22() set
[[1,{}],<*j,k*>] is V21() set
{[1,{}],<*j,k*>} is non empty V24() countable set
{{[1,{}],<*j,k*>},{[1,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
j := k is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[1,{},<*j,k*>] is V21() V22() set
[[1,{}],<*j,k*>] is V21() set
{[1,{}],<*j,k*>} is non empty V24() countable set
{{[1,{}],<*j,k*>},{[1,{}]}} is non empty V24() V28() countable set
proj1 {} is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
AddTo (j,k) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[2,{},<*j,k*>] is V21() V22() set
[[2,{}],<*j,k*>] is V21() set
{[2,{}],<*j,k*>} is non empty V24() countable set
{{[2,{}],<*j,k*>},{[2,{}]}} is non empty V24() V28() countable set
proj1 {} is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
SubFrom (j,k) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[3,{},<*j,k*>] is V21() V22() set
[[3,{}],<*j,k*>] is V21() set
{[3,{}],<*j,k*>} is non empty V24() countable set
{{[3,{}],<*j,k*>},{[3,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
SubFrom (j,k) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[3,{},<*j,k*>] is V21() V22() set
[[3,{}],<*j,k*>] is V21() set
{[3,{}],<*j,k*>} is non empty V24() countable set
{{[3,{}],<*j,k*>},{[3,{}]}} is non empty V24() V28() countable set
proj1 {} is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
the carrier of (SCM R) is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
MultBy (j,k) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[4,{},<*j,k*>] is V21() V22() set
[[4,{}],<*j,k*>] is V21() set
{[4,{}],<*j,k*>} is non empty V24() countable set
{{[4,{}],<*j,k*>},{[4,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Int-like Element of the carrier of (SCM R)
MultBy (j,k) is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[4,{},<*j,k*>] is V21() V22() set
[[4,{}],<*j,k*>] is V21() set
{[4,{}],<*j,k*>} is non empty V24() countable set
{{[4,{}],<*j,k*>},{[4,{}]}} is non empty V24() V28() countable set
proj1 {} is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (j,R) is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*j*>,{}] is V21() V22() set
[6,<*j*>] is V21() set
{6,<*j*>} is non empty V24() countable set
{{6,<*j*>},{6}} is non empty V24() V28() countable set
[[6,<*j*>],{}] is V21() set
{[6,<*j*>],{}} is non empty V24() countable set
{[6,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*j*>],{}},{[6,<*j*>]}} is non empty V24() V28() countable set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (j,R) is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*j*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*j*>,{}] is V21() V22() set
[6,<*j*>] is V21() set
{6,<*j*>} is non empty V24() countable set
{{6,<*j*>},{6}} is non empty V24() V28() countable set
[[6,<*j*>],{}] is V21() set
{[6,<*j*>],{}} is non empty V24() countable set
{[6,<*j*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*j*>],{}},{[6,<*j*>]}} is non empty V24() V28() countable set
{j} is non empty trivial V24() V28() 1 -element countable set
the carrier of (SCM R) is non empty set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
j is Int-like Element of the carrier of (SCM R)
j =0_goto k is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*k*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*j*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*k*>,<*j*>] is V21() V22() set
[7,<*k*>] is V21() set
{7,<*k*>} is non empty V24() countable set
{{7,<*k*>},{7}} is non empty V24() V28() countable set
[[7,<*k*>],<*j*>] is V21() set
{[7,<*k*>],<*j*>} is non empty V24() countable set
{[7,<*k*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*k*>],<*j*>},{[7,<*k*>]}} is non empty V24() V28() countable set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
j is Int-like Element of the carrier of (SCM R)
j =0_goto k is non ins-loc-free V153(2, SCM R) jump-only non sequential Element of the InstructionsF of (SCM R)
<*k*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*j*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*k*>,<*j*>] is V21() V22() set
[7,<*k*>] is V21() set
{7,<*k*>} is non empty V24() countable set
{{7,<*k*>},{7}} is non empty V24() V28() countable set
[[7,<*k*>],<*j*>] is V21() set
{[7,<*k*>],<*j*>} is non empty V24() countable set
{[7,<*k*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*k*>],<*j*>},{[7,<*k*>]}} is non empty V24() V28() countable set
{k} is non empty trivial V24() V28() 1 -element countable set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
j is Int-like Element of the carrier of (SCM R)
k is Element of the carrier of R
j := k is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[5,{},<*j,k*>] is V21() V22() set
[[5,{}],<*j,k*>] is V21() set
{[5,{}],<*j,k*>} is non empty V24() countable set
{{[5,{}],<*j,k*>},{[5,{}]}} is non empty V24() V28() countable set
j is Int-like Element of the carrier of (SCM R)
k is Element of the carrier of R
j := k is V153(2, SCM R) sequential Element of the InstructionsF of (SCM R)
<*j,k*> is set
[5,{},<*j,k*>] is V21() V22() set
[[5,{}],<*j,k*>] is V21() set
{[5,{}],<*j,k*>} is non empty V24() countable set
{{[5,{}],<*j,k*>},{[5,{}]}} is non empty V24() V28() countable set
proj1 {} is Relation-like non-empty empty-yielding RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V24() V25() V28() cardinal {} -element V39() Cardinal-yielding countable Function-yielding V158() V175() ext-real non negative V180() V181() V182() V183() V211() V212() set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) with_explicit_jumps standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (I,R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*I*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*I*>,{}] is V21() V22() set
[6,<*I*>] is V21() set
{6,<*I*>} is non empty V24() countable set
{{6,<*I*>},{6}} is non empty V24() V28() countable set
[[6,<*I*>],{}] is V21() set
{[6,<*I*>],{}} is non empty V24() countable set
{[6,<*I*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*I*>],{}},{[6,<*I*>]}} is non empty V24() V28() countable set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
IncAddr ((goto (I,R)),T) is with_explicit_jumps Element of the InstructionsF of (SCM R)
I + T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto ((I + T),R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*(I + T)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*(I + T)*>,{}] is V21() V22() set
[6,<*(I + T)*>] is V21() set
{6,<*(I + T)*>} is non empty V24() countable set
{{6,<*(I + T)*>},{6}} is non empty V24() V28() countable set
[[6,<*(I + T)*>],{}] is V21() set
{[6,<*(I + T)*>],{}} is non empty V24() countable set
{[6,<*(I + T)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*(I + T)*>],{}},{[6,<*(I + T)*>]}} is non empty V24() V28() countable set
JumpPart (IncAddr ((goto (I,R)),T)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((IncAddr ((goto (I,R)),T))) is set
AddressPart K41((IncAddr ((goto (I,R)),T))) is set
JumpPart (goto (I,R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((goto (I,R))) is set
AddressPart K41((goto (I,R))) is set
T + (JumpPart (goto (I,R))) is Relation-like Function-like set
dom (JumpPart (IncAddr ((goto (I,R)),T))) is countable Element of K27(NAT)
dom (JumpPart (goto (I,R))) is countable Element of K27(NAT)
JumpPart (goto ((I + T),R)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((goto ((I + T),R))) is set
AddressPart K41((goto ((I + T),R))) is set
dom (JumpPart (goto ((I + T),R))) is countable Element of K27(NAT)
dom <*(I + T)*> is countable Element of K27(NAT)
dom <*I*> is countable Element of K27(NAT)
i1 is set
(JumpPart (IncAddr ((goto (I,R)),T))) . i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
(JumpPart (goto ((I + T),R))) . i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
(JumpPart (goto (I,R))) . i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T + j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
<*I*> . i1 is set
<*(I + T)*> . i1 is set
InsCode (IncAddr ((goto (I,R)),T)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(K41((IncAddr ((goto (I,R)),T)))) is set
InsCode (goto (I,R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((goto (I,R)))) is set
InsCode (goto ((I + T),R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((goto ((I + T),R)))) is set
AddressPart (IncAddr ((goto (I,R)),T)) is Relation-like Function-like FinSequence-like set
AddressPart (goto (I,R)) is Relation-like Function-like FinSequence-like set
AddressPart (goto ((I + T),R)) is Relation-like Function-like FinSequence-like set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) with_explicit_jumps standard AMI-Struct over 2
the carrier of (SCM R) is non empty set
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is Int-like Element of the carrier of (SCM R)
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto T is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*T*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*I*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*T*>,<*I*>] is V21() V22() set
[7,<*T*>] is V21() set
{7,<*T*>} is non empty V24() countable set
{{7,<*T*>},{7}} is non empty V24() V28() countable set
[[7,<*T*>],<*I*>] is V21() set
{[7,<*T*>],<*I*>} is non empty V24() countable set
{[7,<*T*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*T*>],<*I*>},{[7,<*T*>]}} is non empty V24() V28() countable set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
IncAddr ((I =0_goto T),i1) is with_explicit_jumps Element of the InstructionsF of (SCM R)
T + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
I =0_goto (T + i1) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*(T + i1)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*(T + i1)*>,<*I*>] is V21() V22() set
[7,<*(T + i1)*>] is V21() set
{7,<*(T + i1)*>} is non empty V24() countable set
{{7,<*(T + i1)*>},{7}} is non empty V24() V28() countable set
[[7,<*(T + i1)*>],<*I*>] is V21() set
{[7,<*(T + i1)*>],<*I*>} is non empty V24() countable set
{[7,<*(T + i1)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*(T + i1)*>],<*I*>},{[7,<*(T + i1)*>]}} is non empty V24() V28() countable set
JumpPart (IncAddr ((I =0_goto T),i1)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((IncAddr ((I =0_goto T),i1))) is set
AddressPart K41((IncAddr ((I =0_goto T),i1))) is set
JumpPart (I =0_goto T) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((I =0_goto T)) is set
AddressPart K41((I =0_goto T)) is set
i1 + (JumpPart (I =0_goto T)) is Relation-like Function-like set
dom (JumpPart (IncAddr ((I =0_goto T),i1))) is countable Element of K27(NAT)
dom (JumpPart (I =0_goto T)) is countable Element of K27(NAT)
JumpPart (I =0_goto (T + i1)) is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V180() V181() V182() V183() set
K41((I =0_goto (T + i1))) is set
AddressPart K41((I =0_goto (T + i1))) is set
dom (JumpPart (I =0_goto (T + i1))) is countable Element of K27(NAT)
dom <*(T + i1)*> is countable Element of K27(NAT)
dom <*T*> is countable Element of K27(NAT)
j is set
(JumpPart (IncAddr ((I =0_goto T),i1))) . j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
(JumpPart (I =0_goto (T + i1))) . j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
(JumpPart (I =0_goto T)) . j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
i1 + k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
<*T*> . j is set
<*(T + i1)*> . j is set
InsCode (IncAddr ((I =0_goto T),i1)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(K41((IncAddr ((I =0_goto T),i1)))) is set
InsCode (I =0_goto T) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((I =0_goto T))) is set
InsCode (I =0_goto (T + i1)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable jump-only V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
K41(K41((I =0_goto (T + i1)))) is set
AddressPart (IncAddr ((I =0_goto T),i1)) is Relation-like Function-like FinSequence-like set
AddressPart (I =0_goto T) is Relation-like Function-like FinSequence-like set
AddressPart (I =0_goto (T + i1)) is Relation-like Function-like FinSequence-like set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) with_explicit_jumps standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is with_explicit_jumps Element of the InstructionsF of (SCM R)
halt (SCM R) is ins-loc-free V153(2, SCM R) V153(2, SCM R) with_explicit_jumps IC-relocable jump-only Element of the InstructionsF of (SCM R)
halt the InstructionsF of (SCM R) is ins-loc-free with_explicit_jumps Element of the InstructionsF of (SCM R)
the carrier of (SCM R) is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
T := i1 is ins-loc-free V153(2, SCM R) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[1,{},<*T,i1*>] is V21() V22() set
[[1,{}],<*T,i1*>] is V21() set
{[1,{}],<*T,i1*>} is non empty V24() countable set
{{[1,{}],<*T,i1*>},{[1,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
AddTo (T,i1) is ins-loc-free V153(2, SCM R) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[2,{},<*T,i1*>] is V21() V22() set
[[2,{}],<*T,i1*>] is V21() set
{[2,{}],<*T,i1*>} is non empty V24() countable set
{{[2,{}],<*T,i1*>},{[2,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
SubFrom (T,i1) is ins-loc-free V153(2, SCM R) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[3,{},<*T,i1*>] is V21() V22() set
[[3,{}],<*T,i1*>] is V21() set
{[3,{}],<*T,i1*>} is non empty V24() countable set
{{[3,{}],<*T,i1*>},{[3,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Int-like Element of the carrier of (SCM R)
MultBy (T,i1) is ins-loc-free V153(2, SCM R) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[4,{},<*T,i1*>] is V21() V22() set
[[4,{}],<*T,i1*>] is V21() set
{[4,{}],<*T,i1*>} is non empty V24() countable set
{{[4,{}],<*T,i1*>},{[4,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
T is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
IncAddr (I,T) is with_explicit_jumps Element of the InstructionsF of (SCM R)
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
T + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
IncAddr (I,(T + i1)) is with_explicit_jumps Element of the InstructionsF of (SCM R)
j is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((IncAddr (I,T)),j) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,T))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,T))) . j is set
IC (Exec ((IncAddr (I,T)),j)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((IncAddr (I,T)),j)) . (0. (SCM R)) is set
(IC (Exec ((IncAddr (I,T)),j))) + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
IncIC (j,i1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
IC j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
j . (0. (SCM R)) is set
(IC j) + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
Start-At (((IC j) + i1),(SCM R)) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable (IC j) + i1 -started V212() set
(0. (SCM R)) .--> ((IC j) + i1) is Relation-like the carrier of (SCM R) -defined {(0. (SCM R))} -defined NAT -valued RAT -valued Function-like one-to-one constant non empty trivial V24() 1 -element Cardinal-yielding countable V180() V181() V182() V183() V184() V185() V186() V187() V212() set
{(0. (SCM R))} is non empty trivial V24() 1 -element countable set
{(0. (SCM R))} --> ((IC j) + i1) is Relation-like {(0. (SCM R))} -defined NAT -valued RAT -valued Function-like constant non empty V24() total V36({(0. (SCM R))},{((IC j) + i1)}) Cardinal-yielding countable V180() V181() V182() V183() V212() Element of K27(K28({(0. (SCM R))},{((IC j) + i1)}))
{((IC j) + i1)} is non empty trivial V24() V28() 1 -element countable set
K28({(0. (SCM R))},{((IC j) + i1)}) is Relation-like V24() countable set
K27(K28({(0. (SCM R))},{((IC j) + i1)})) is V24() V28() countable set
j +* (Start-At (((IC j) + i1),(SCM R))) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible the_Values_of (SCM R) -compatible non empty total (IC j) + i1 -started set
Exec ((IncAddr (I,(T + i1))),(IncIC (j,i1))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,(T + i1)))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,(T + i1)))) . (IncIC (j,i1)) is set
IC (Exec ((IncAddr (I,(T + i1))),(IncIC (j,i1)))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((IncAddr (I,(T + i1))),(IncIC (j,i1)))) . (0. (SCM R)) is set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (s1,R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*s1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*s1*>,{}] is V21() V22() set
[6,<*s1*>] is V21() set
{6,<*s1*>} is non empty V24() countable set
{{6,<*s1*>},{6}} is non empty V24() V28() countable set
[[6,<*s1*>],{}] is V21() set
{[6,<*s1*>],{}} is non empty V24() countable set
{[6,<*s1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*s1*>],{}},{[6,<*s1*>]}} is non empty V24() V28() countable set
s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (s1,R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*s1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*s1*>,{}] is V21() V22() set
[6,<*s1*>] is V21() set
{6,<*s1*>} is non empty V24() countable set
{{6,<*s1*>},{6}} is non empty V24() V28() countable set
[[6,<*s1*>],{}] is V21() set
{[6,<*s1*>],{}} is non empty V24() countable set
{[6,<*s1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*s1*>],{}},{[6,<*s1*>]}} is non empty V24() V28() countable set
T + s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto ((T + s1),R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*(T + s1)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*(T + s1)*>,{}] is V21() V22() set
[6,<*(T + s1)*>] is V21() set
{6,<*(T + s1)*>} is non empty V24() countable set
{{6,<*(T + s1)*>},{6}} is non empty V24() V28() countable set
[[6,<*(T + s1)*>],{}] is V21() set
{[6,<*(T + s1)*>],{}} is non empty V24() countable set
{[6,<*(T + s1)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*(T + s1)*>],{}},{[6,<*(T + s1)*>]}} is non empty V24() V28() countable set
Exec ((goto ((T + s1),R)),j) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto ((T + s1),R))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto ((T + s1),R))) . j is set
IC (Exec ((goto ((T + s1),R)),j)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((goto ((T + s1),R)),j)) . (0. (SCM R)) is set
(IC (Exec ((goto ((T + s1),R)),j))) + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(T + s1) + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (((T + s1) + i1),R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*((T + s1) + i1)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*((T + s1) + i1)*>,{}] is V21() V22() set
[6,<*((T + s1) + i1)*>] is V21() set
{6,<*((T + s1) + i1)*>} is non empty V24() countable set
{{6,<*((T + s1) + i1)*>},{6}} is non empty V24() V28() countable set
[[6,<*((T + s1) + i1)*>],{}] is V21() set
{[6,<*((T + s1) + i1)*>],{}} is non empty V24() countable set
{[6,<*((T + s1) + i1)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*((T + s1) + i1)*>],{}},{[6,<*((T + s1) + i1)*>]}} is non empty V24() V28() countable set
Exec ((goto (((T + s1) + i1),R)),(IncIC (j,i1))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto (((T + s1) + i1),R))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto (((T + s1) + i1),R))) . (IncIC (j,i1)) is set
IC (Exec ((goto (((T + s1) + i1),R)),(IncIC (j,i1)))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((goto (((T + s1) + i1),R)),(IncIC (j,i1)))) . (0. (SCM R)) is set
(T + i1) + s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
goto (((T + i1) + s1),R) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*((T + i1) + s1)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[6,<*((T + i1) + s1)*>,{}] is V21() V22() set
[6,<*((T + i1) + s1)*>] is V21() set
{6,<*((T + i1) + s1)*>} is non empty V24() countable set
{{6,<*((T + i1) + s1)*>},{6}} is non empty V24() V28() countable set
[[6,<*((T + i1) + s1)*>],{}] is V21() set
{[6,<*((T + i1) + s1)*>],{}} is non empty V24() countable set
{[6,<*((T + i1) + s1)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[6,<*((T + i1) + s1)*>],{}},{[6,<*((T + i1) + s1)*>]}} is non empty V24() V28() countable set
Exec ((goto (((T + i1) + s1),R)),(IncIC (j,i1))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto (((T + i1) + s1),R))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(goto (((T + i1) + s1),R))) . (IncIC (j,i1)) is set
IC (Exec ((goto (((T + i1) + s1),R)),(IncIC (j,i1)))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((goto (((T + i1) + s1),R)),(IncIC (j,i1)))) . (0. (SCM R)) is set
the carrier of (SCM R) is non empty set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T is Int-like Element of the carrier of (SCM R)
T =0_goto i1 is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*i1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*T*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*i1*>,<*T*>] is V21() V22() set
[7,<*i1*>] is V21() set
{7,<*i1*>} is non empty V24() countable set
{{7,<*i1*>},{7}} is non empty V24() V28() countable set
[[7,<*i1*>],<*T*>] is V21() set
{[7,<*i1*>],<*T*>} is non empty V24() countable set
{[7,<*i1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*i1*>],<*T*>},{[7,<*i1*>]}} is non empty V24() V28() countable set
i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T is Int-like Element of the carrier of (SCM R)
T =0_goto i1 is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*i1*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
<*T*> is Relation-like Function-like FinSequence-like FinSequence of the carrier of (SCM R)
[7,<*i1*>,<*T*>] is V21() V22() set
[7,<*i1*>] is V21() set
{7,<*i1*>} is non empty V24() countable set
{{7,<*i1*>},{7}} is non empty V24() V28() countable set
[[7,<*i1*>],<*T*>] is V21() set
{[7,<*i1*>],<*T*>} is non empty V24() countable set
{[7,<*i1*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*i1*>],<*T*>},{[7,<*i1*>]}} is non empty V24() V28() countable set
the_Values_of (SCM R) is Relation-like non-empty the carrier of (SCM R) -defined Function-like total set
the Object-Kind of (SCM R) is Relation-like Function-like V36( the carrier of (SCM R),2) Element of K27(K28( the carrier of (SCM R),2))
K28( the carrier of (SCM R),2) is Relation-like set
K27(K28( the carrier of (SCM R),2)) is set
the ValuesF of (SCM R) is Relation-like 2 -defined Function-like total V212() set
the Object-Kind of (SCM R) * the ValuesF of (SCM R) is Relation-like Function-like set
j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
IncAddr (I,j) is with_explicit_jumps Element of the InstructionsF of (SCM R)
k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
j + k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative set
IncAddr (I,(j + k)) is with_explicit_jumps Element of the InstructionsF of (SCM R)
s1 is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
Exec ((IncAddr (I,j)),s1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)) is functional with_common_domain product-like set
K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))) is set
the Execution of (SCM R) is Relation-like Function-like V36( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) Element of K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))))
K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))) is Relation-like set
K27(K28( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))))) is set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,j))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,j))) . s1 is set
IC (Exec ((IncAddr (I,j)),s1)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
0. (SCM R) is V48( SCM R) Element of the carrier of (SCM R)
(Exec ((IncAddr (I,j)),s1)) . (0. (SCM R)) is set
(IC (Exec ((IncAddr (I,j)),s1))) + k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
IncIC (s1,k) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
IC s1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
s1 . (0. (SCM R)) is set
(IC s1) + k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
Start-At (((IC s1) + k),(SCM R)) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible non empty V24() countable (IC s1) + k -started V212() set
(0. (SCM R)) .--> ((IC s1) + k) is Relation-like the carrier of (SCM R) -defined {(0. (SCM R))} -defined NAT -valued RAT -valued Function-like one-to-one constant non empty trivial V24() 1 -element Cardinal-yielding countable V180() V181() V182() V183() V184() V185() V186() V187() V212() set
{(0. (SCM R))} is non empty trivial V24() 1 -element countable set
{(0. (SCM R))} --> ((IC s1) + k) is Relation-like {(0. (SCM R))} -defined NAT -valued RAT -valued Function-like constant non empty V24() total V36({(0. (SCM R))},{((IC s1) + k)}) Cardinal-yielding countable V180() V181() V182() V183() V212() Element of K27(K28({(0. (SCM R))},{((IC s1) + k)}))
{((IC s1) + k)} is non empty trivial V24() V28() 1 -element countable set
K28({(0. (SCM R))},{((IC s1) + k)}) is Relation-like V24() countable set
K27(K28({(0. (SCM R))},{((IC s1) + k)})) is V24() V28() countable set
s1 +* (Start-At (((IC s1) + k),(SCM R))) is Relation-like the carrier of (SCM R) -defined the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible the_Values_of (SCM R) -compatible non empty total (IC s1) + k -started set
Exec ((IncAddr (I,(j + k))),(IncIC (s1,k))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,(j + k)))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(IncAddr (I,(j + k)))) . (IncIC (s1,k)) is set
IC (Exec ((IncAddr (I,(j + k))),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((IncAddr (I,(j + k))),(IncIC (s1,k)))) . (0. (SCM R)) is set
proj1 ((0. (SCM R)) .--> ((IC s1) + k)) is non empty trivial V24() 1 -element countable set
s1 . T is Element of the carrier of R
the carrier of R is non empty set
(IncIC (s1,k)) . T is Element of the carrier of R
0. R is V48(R) Element of the carrier of R
j + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T =0_goto (j + i1) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*(j + i1)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*(j + i1)*>,<*T*>] is V21() V22() set
[7,<*(j + i1)*>] is V21() set
{7,<*(j + i1)*>} is non empty V24() countable set
{{7,<*(j + i1)*>},{7}} is non empty V24() V28() countable set
[[7,<*(j + i1)*>],<*T*>] is V21() set
{[7,<*(j + i1)*>],<*T*>} is non empty V24() countable set
{[7,<*(j + i1)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*(j + i1)*>],<*T*>},{[7,<*(j + i1)*>]}} is non empty V24() V28() countable set
Exec ((T =0_goto (j + i1)),s1) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(T =0_goto (j + i1))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(T =0_goto (j + i1))) . s1 is set
IC (Exec ((T =0_goto (j + i1)),s1)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((T =0_goto (j + i1)),s1)) . (0. (SCM R)) is set
(IC (Exec ((T =0_goto (j + i1)),s1))) + k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(j + i1) + k is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T =0_goto ((j + i1) + k) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*((j + i1) + k)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*((j + i1) + k)*>,<*T*>] is V21() V22() set
[7,<*((j + i1) + k)*>] is V21() set
{7,<*((j + i1) + k)*>} is non empty V24() countable set
{{7,<*((j + i1) + k)*>},{7}} is non empty V24() V28() countable set
[[7,<*((j + i1) + k)*>],<*T*>] is V21() set
{[7,<*((j + i1) + k)*>],<*T*>} is non empty V24() countable set
{[7,<*((j + i1) + k)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*((j + i1) + k)*>],<*T*>},{[7,<*((j + i1) + k)*>]}} is non empty V24() V28() countable set
Exec ((T =0_goto ((j + i1) + k)),(IncIC (s1,k))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(T =0_goto ((j + i1) + k))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(T =0_goto ((j + i1) + k))) . (IncIC (s1,k)) is set
IC (Exec ((T =0_goto ((j + i1) + k)),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((T =0_goto ((j + i1) + k)),(IncIC (s1,k)))) . (0. (SCM R)) is set
(j + k) + i1 is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T =0_goto ((j + k) + i1) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*((j + k) + i1)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*((j + k) + i1)*>,<*T*>] is V21() V22() set
[7,<*((j + k) + i1)*>] is V21() set
{7,<*((j + k) + i1)*>} is non empty V24() countable set
{{7,<*((j + k) + i1)*>},{7}} is non empty V24() V28() countable set
[[7,<*((j + k) + i1)*>],<*T*>] is V21() set
{[7,<*((j + k) + i1)*>],<*T*>} is non empty V24() countable set
{[7,<*((j + k) + i1)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*((j + k) + i1)*>],<*T*>},{[7,<*((j + k) + i1)*>]}} is non empty V24() V28() countable set
Exec ((T =0_goto ((j + k) + i1)),(IncIC (s1,k))) is Relation-like the carrier of (SCM R) -defined Function-like the_Values_of (SCM R) -compatible total set
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(T =0_goto ((j + k) + i1))) is Element of K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))))
K122( the InstructionsF of (SCM R),K120((product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R))),(product ( the Object-Kind of (SCM R) * the ValuesF of (SCM R)))), the Execution of (SCM R),(T =0_goto ((j + k) + i1))) . (IncIC (s1,k)) is set
IC (Exec ((T =0_goto ((j + k) + i1)),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(Exec ((T =0_goto ((j + k) + i1)),(IncIC (s1,k)))) . (0. (SCM R)) is set
0. R is V48(R) Element of the carrier of R
i1 + j is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T =0_goto (i1 + j) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*(i1 + j)*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*(i1 + j)*>,<*T*>] is V21() V22() set
[7,<*(i1 + j)*>] is V21() set
{7,<*(i1 + j)*>} is non empty V24() countable set
{{7,<*(i1 + j)*>},{7}} is non empty V24() V28() countable set
[[7,<*(i1 + j)*>],<*T*>] is V21() set
{[7,<*(i1 + j)*>],<*T*>} is non empty V24() countable set
{[7,<*(i1 + j)*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*(i1 + j)*>],<*T*>},{[7,<*(i1 + j)*>]}} is non empty V24() V28() countable set
i1 + (j + k) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
T =0_goto (i1 + (j + k)) is non ins-loc-free V153(2, SCM R) with_explicit_jumps jump-only non sequential Element of the InstructionsF of (SCM R)
<*(i1 + (j + k))*> is Relation-like Function-like FinSequence-like Cardinal-yielding FinSequence of NAT
[7,<*(i1 + (j + k))*>,<*T*>] is V21() V22() set
[7,<*(i1 + (j + k))*>] is V21() set
{7,<*(i1 + (j + k))*>} is non empty V24() countable set
{{7,<*(i1 + (j + k))*>},{7}} is non empty V24() V28() countable set
[[7,<*(i1 + (j + k))*>],<*T*>] is V21() set
{[7,<*(i1 + (j + k))*>],<*T*>} is non empty V24() countable set
{[7,<*(i1 + (j + k))*>]} is Relation-like Function-like constant non empty trivial V24() 1 -element countable V212() set
{{[7,<*(i1 + (j + k))*>],<*T*>},{[7,<*(i1 + (j + k))*>]}} is non empty V24() V28() countable set
IC (IncIC (s1,k)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of NAT
(IncIC (s1,k)) . (0. (SCM R)) is set
((0. (SCM R)) .--> ((IC s1) + k)) . (0. (SCM R)) is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative V179() set
succ (IC s1) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC s1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
(succ (IC s1)) + k is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC s1) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
((IC s1) + 1) + k is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
succ (IC (IncIC (s1,k))) is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real non negative set
(IC (IncIC (s1,k))) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V24() cardinal V39() countable non with_non-empty_elements V175() ext-real positive non negative Element of NAT
0. R is V48(R) Element of the carrier of R
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
T is Int-like Element of the carrier of (SCM R)
i1 is Element of the carrier of R
T := i1 is ins-loc-free V153(2, SCM R) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of (SCM R)
<*T,i1*> is set
[5,{},<*T,i1*>] is V21() V22() set
[[5,{}],<*T,i1*>] is V21() set
{[5,{}],<*T,i1*>} is non empty V24() countable set
{{[5,{}],<*T,i1*>},{[5,{}]}} is non empty V24() V28() countable set
the carrier of (SCM R) is non empty set
the carrier of R is non empty set
R is non empty V67() V92() V93() V94() unital V103() V107() V108() V109() V110() V111() V112() L11()
SCM R is non empty with_non-empty_values IC-Ins-separated strict V154(2) with_explicit_jumps IC-relocable standard AMI-Struct over 2
the InstructionsF of (SCM R) is Relation-like non empty standard-ins V136() J/A-independent V139() set
I is with_explicit_jumps IC-relocable Element of the InstructionsF of (SCM R)
InsCode I is epsilon-transitive epsilon-connected ordinal natural V24() cardinal V39() countable V175() ext-real non negative Element of InsCodes the InstructionsF of (SCM R)
InsCodes the InstructionsF of (SCM R) is non empty set
K51( the InstructionsF of (SCM R)) is set
proj1 the InstructionsF of (SCM R) is non empty set
proj1 (proj1 the InstructionsF of (SCM R)) is set
K41(I) is set
K41(K41(I)) is set