:: AMISTD_5 semantic presentation

REAL is non empty non with_non-empty_elements V103() V104() V105() V109() V112() V113() V115() set
NAT is epsilon-transitive epsilon-connected ordinal non empty V19() non finite cardinal limit_cardinal non with_non-empty_elements non empty-membered V79() V80() V103() V104() V105() V106() V107() V108() V109() V110() V112() Element of K29(REAL)
K29(REAL) is set
COMPLEX is V103() V109() set
omega is epsilon-transitive epsilon-connected ordinal non empty V19() non finite cardinal limit_cardinal non with_non-empty_elements non empty-membered V79() V80() V103() V104() V105() V106() V107() V108() V109() V110() V112() set
K29(omega) is non empty V19() non finite non empty-membered set
K29(NAT) is non empty V19() non finite non empty-membered set
RAT is V103() V104() V105() V106() V109() set
INT is V103() V104() V105() V106() V107() V109() set
{} is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
the Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
2 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
ExtREAL is V104() V115() set
1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
3 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
0 is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() V30() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V120() V121() V122() V123() V124() Function-yielding V152() V155() Element of NAT
K103(NAT,0) is functional non empty V19() finite V36() 1 -element V77() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() Element of K29(NAT)
K31(NAT,NAT,NAT) is set
K101(NAT,NAT,NAT,0,0,0) is V22() V23() Element of K31(NAT,NAT,NAT)
[0,0] is V22() set
{0,0} is functional non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{0} is functional non empty V19() finite V36() 1 -element V77() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{0,0},{0}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[0,0],0] is V22() set
{[0,0],0} is non empty finite V79() set
{[0,0]} is Relation-like Function-like constant non empty V19() finite 1 -element V79() set
{{[0,0],0},{[0,0]}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
K101(NAT,NAT,NAT,1,0,0) is V22() V23() Element of K31(NAT,NAT,NAT)
[1,0] is V22() set
{1,0} is non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{1} is non empty V19() finite V36() 1 -element with_non-empty_elements non empty-membered V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{1,0},{1}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[1,0],0] is V22() set
{[1,0],0} is non empty finite V79() set
{[1,0]} is Relation-like Function-like constant non empty V19() finite 1 -element V79() set
{{[1,0],0},{[1,0]}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
K104(K31(NAT,NAT,NAT),K101(NAT,NAT,NAT,0,0,0),K101(NAT,NAT,NAT,1,0,0)) is Relation-like non empty finite standard-ins homogeneous J/A-independent V55() V79() Element of K29(K31(NAT,NAT,NAT))
K29(K31(NAT,NAT,NAT)) is set
0 .--> 0 is Relation-like NAT -defined {0} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() Function-yielding V152() set
{0} --> 0 is Relation-like {0} -defined NAT -valued RAT -valued INT -valued {0} -valued Function-like constant non empty total V25({0},{0}) finite V76() V79() V121() V122() V123() V124() Function-yielding V152() Element of K29(K30({0},{0}))
K30({0},{0}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({0},{0})) is finite V36() V79() set
proj1 {} is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
proj2 {} is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V19() V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() with_non-empty_elements V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() V125() V126() V127() V128() Function-yielding V152() V155() set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
F is Element of the InstructionsF of S
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncAddr (F,s) is Element of the InstructionsF of S
InsCode F is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of S
InsCodes the InstructionsF of S is non empty set
K60( the InstructionsF of S) is set
proj1 the InstructionsF of S is non empty set
proj1 (proj1 the InstructionsF of S) is set
K50(F) is set
K50(K50(F)) is set
InsCode (IncAddr (F,s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of S
K50((IncAddr (F,s))) is set
K50(K50((IncAddr (F,s)))) is set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting with_explicit_jumps AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
F is with_explicit_jumps IC-relocable Element of the InstructionsF of S
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncAddr (F,s) is with_explicit_jumps Element of the InstructionsF of S
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncAddr ((IncAddr (F,s)),s) is with_explicit_jumps Element of the InstructionsF of S
P is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
s + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncAddr ((IncAddr (F,s)),(s + P)) is with_explicit_jumps Element of the InstructionsF of S
k is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((IncAddr ((IncAddr (F,s)),s)),k) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
K282(( the Object-Kind of S (#) the ValuesF of S)) is functional V77() V78() set
K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) is functional non empty set
the Execution of S is Relation-like the InstructionsF of S -defined K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) -valued Function-like non empty total V25( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) Function-yielding V152() Element of K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))))
K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) is Relation-like set
K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))))) is set
the Execution of S . (IncAddr ((IncAddr (F,s)),s)) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr ((IncAddr (F,s)),s))) . k is Relation-like Function-like set
IC (Exec ((IncAddr ((IncAddr (F,s)),s)),k)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
(Exec ((IncAddr ((IncAddr (F,s)),s)),k)) . (IC ) is set
(IC (Exec ((IncAddr ((IncAddr (F,s)),s)),k))) + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncIC (k,P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
k . (IC ) is set
(IC k) + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC k) + P),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC k) + P -started set
(IC ) .--> ((IC k) + P) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC k) + P) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC k) + P)} -valued Function-like constant non empty total V25({(IC )},{((IC k) + P)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC k) + P)}))
{((IC k) + P)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC k) + P)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC k) + P)})) is finite V36() V79() set
k +* (Start-At (((IC k) + P),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC k) + P -started set
Exec ((IncAddr ((IncAddr (F,s)),(s + P))),(IncIC (k,P))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (IncAddr ((IncAddr (F,s)),(s + P))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr ((IncAddr (F,s)),(s + P)))) . (IncIC (k,P)) is Relation-like Function-like set
IC (Exec ((IncAddr ((IncAddr (F,s)),(s + P))),(IncIC (k,P)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr ((IncAddr (F,s)),(s + P))),(IncIC (k,P)))) . (IC ) is set
s + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncAddr (F,(s + s)) is with_explicit_jumps Element of the InstructionsF of S
Exec ((IncAddr (F,(s + s))),k) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (IncAddr (F,(s + s))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr (F,(s + s)))) . k is Relation-like Function-like set
IC (Exec ((IncAddr (F,(s + s))),k)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (F,(s + s))),k)) . (IC ) is set
(IC (Exec ((IncAddr (F,(s + s))),k))) + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(s + s) + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncAddr (F,((s + s) + P)) is with_explicit_jumps Element of the InstructionsF of S
Exec ((IncAddr (F,((s + s) + P))),(IncIC (k,P))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (IncAddr (F,((s + s) + P))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr (F,((s + s) + P)))) . (IncIC (k,P)) is Relation-like Function-like set
IC (Exec ((IncAddr (F,((s + s) + P))),(IncIC (k,P)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (F,((s + s) + P))),(IncIC (k,P)))) . (IC ) is set
s + (s + P) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncAddr (F,(s + (s + P))) is with_explicit_jumps Element of the InstructionsF of S
Exec ((IncAddr (F,(s + (s + P)))),(IncIC (k,P))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (IncAddr (F,(s + (s + P)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr (F,(s + (s + P))))) . (IncIC (k,P)) is Relation-like Function-like set
IC (Exec ((IncAddr (F,(s + (s + P)))),(IncIC (k,P)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (F,(s + (s + P)))),(IncIC (k,P)))) . (IC ) is set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
F is Element of the InstructionsF of S
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncAddr (F,s) is Element of the InstructionsF of S
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
s + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncAddr (F,(s + s)) is Element of the InstructionsF of S
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((IncAddr (F,s)),P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
K282(( the Object-Kind of S (#) the ValuesF of S)) is functional V77() V78() set
K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) is functional non empty set
the Execution of S is Relation-like the InstructionsF of S -defined K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) -valued Function-like non empty total V25( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) Function-yielding V152() Element of K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))))
K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) is Relation-like set
K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))))) is set
the Execution of S . (IncAddr (F,s)) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr (F,s))) . P is Relation-like Function-like set
IC (Exec ((IncAddr (F,s)),P)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
(Exec ((IncAddr (F,s)),P)) . (IC ) is set
(IC (Exec ((IncAddr (F,s)),P))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncIC (P,s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
P . (IC ) is set
(IC P) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC P) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC P) + s -started set
(IC ) .--> ((IC P) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC P) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC P) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC P) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC P) + s)}))
{((IC P) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC P) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC P) + s)})) is finite V36() V79() set
P +* (Start-At (((IC P) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC P) + s -started set
Exec ((IncAddr (F,(s + s))),(IncIC (P,s))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (IncAddr (F,(s + s))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr (F,(s + s)))) . (IncIC (P,s)) is Relation-like Function-like set
IC (Exec ((IncAddr (F,(s + s))),(IncIC (P,s)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (F,(s + s))),(IncIC (P,s)))) . (IC ) is set
k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncIC ((Exec ((IncAddr (F,s)),P)),k) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(IC (Exec ((IncAddr (F,s)),P))) + k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec ((IncAddr (F,s)),P))) + k),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Exec ((IncAddr (F,s)),P))) + k -started set
(IC ) .--> ((IC (Exec ((IncAddr (F,s)),P))) + k) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec ((IncAddr (F,s)),P))) + k) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec ((IncAddr (F,s)),P))) + k)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec ((IncAddr (F,s)),P))) + k)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec ((IncAddr (F,s)),P))) + k)}))
{((IC (Exec ((IncAddr (F,s)),P))) + k)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec ((IncAddr (F,s)),P))) + k)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec ((IncAddr (F,s)),P))) + k)})) is finite V36() V79() set
(Exec ((IncAddr (F,s)),P)) +* (Start-At (((IC (Exec ((IncAddr (F,s)),P))) + k),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Exec ((IncAddr (F,s)),P))) + k -started set
IC (IncIC ((Exec ((IncAddr (F,s)),P)),k)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC ((Exec ((IncAddr (F,s)),P)),k)) . (IC ) is set
N is non empty non with_non-empty_elements set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable AMI-Struct over N
the InstructionsF of (STC N) is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of (STC N) is non empty finite V79() set
the_Values_of (STC N) is Relation-like non-empty non empty-yielding the carrier of (STC N) -defined Function-like non empty total set
the Object-Kind of (STC N) is Relation-like the carrier of (STC N) -defined N -valued Function-like non empty total V25( the carrier of (STC N),N) finite V79() Element of K29(K30( the carrier of (STC N),N))
K30( the carrier of (STC N),N) is Relation-like set
K29(K30( the carrier of (STC N),N)) is set
the ValuesF of (STC N) is Relation-like N -defined Function-like non empty total set
the Object-Kind of (STC N) (#) the ValuesF of (STC N) is Relation-like the carrier of (STC N) -defined Function-like non empty total finite V79() set
S is ins-loc-free with_explicit_jumps IC-relocable Element of the InstructionsF of (STC N)
F is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
Exec (S,F) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))) is functional V77() V78() set
K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) is functional non empty set
the Execution of (STC N) is Relation-like the InstructionsF of (STC N) -defined K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) -valued Function-like non empty total V25( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) Function-yielding V152() Element of K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))))
K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) is Relation-like set
K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))))) is set
the Execution of (STC N) . S is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . S) . F is Relation-like Function-like set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncIC (F,s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
F . (IC ) is set
(IC F) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC F) + s),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC F) + s -started set
(IC ) .--> ((IC F) + s) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC F) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC F) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC F) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC F) + s)}))
{((IC F) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC F) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC F) + s)})) is finite V36() V79() set
F +* (Start-At (((IC F) + s),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC F) + s -started set
Exec (S,(IncIC (F,s))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
( the Execution of (STC N) . S) . (IncIC (F,s)) is Relation-like Function-like set
IncIC ((Exec (S,F)),s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Exec (S,F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec (S,F)) . (IC ) is set
(IC (Exec (S,F))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec (S,F))) + s),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC (Exec (S,F))) + s -started set
(IC ) .--> ((IC (Exec (S,F))) + s) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec (S,F))) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec (S,F))) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec (S,F))) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec (S,F))) + s)}))
{((IC (Exec (S,F))) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec (S,F))) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec (S,F))) + s)})) is finite V36() V79() set
(Exec (S,F)) +* (Start-At (((IC (Exec (S,F))) + s),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC (Exec (S,F))) + s -started set
InsCode S is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of (STC N)
InsCodes the InstructionsF of (STC N) is non empty set
K60( the InstructionsF of (STC N)) is set
proj1 the InstructionsF of (STC N) is non empty set
proj1 (proj1 the InstructionsF of (STC N)) is set
K50(S) is set
K50(K50(S)) is set
IncIC ((IncIC (F,s)),1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (IncIC (F,s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC (F,s)) . (IC ) is set
(IC (IncIC (F,s))) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Start-At (((IC (IncIC (F,s))) + 1),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC (IncIC (F,s))) + 1 -started set
(IC ) .--> ((IC (IncIC (F,s))) + 1) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (IncIC (F,s))) + 1) is Relation-like non-empty non empty-yielding {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (IncIC (F,s))) + 1)} -valued Function-like constant non empty total V25({(IC )},{((IC (IncIC (F,s))) + 1)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (IncIC (F,s))) + 1)}))
{((IC (IncIC (F,s))) + 1)} is non empty V19() finite V36() 1 -element with_non-empty_elements non empty-membered V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (IncIC (F,s))) + 1)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (IncIC (F,s))) + 1)})) is finite V36() V79() set
(IncIC (F,s)) +* (Start-At (((IC (IncIC (F,s))) + 1),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC (IncIC (F,s))) + 1 -started set
1 + s is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
IncIC (F,(1 + s)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(IC F) + (1 + s) is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Start-At (((IC F) + (1 + s)),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC F) + (1 + s) -started set
(IC ) .--> ((IC F) + (1 + s)) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC F) + (1 + s)) is Relation-like non-empty non empty-yielding {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC F) + (1 + s))} -valued Function-like constant non empty total V25({(IC )},{((IC F) + (1 + s))}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC F) + (1 + s))}))
{((IC F) + (1 + s))} is non empty V19() finite V36() 1 -element with_non-empty_elements non empty-membered V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC F) + (1 + s))}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC F) + (1 + s))})) is finite V36() V79() set
F +* (Start-At (((IC F) + (1 + s)),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC F) + (1 + s) -started set
IncIC (F,1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(IC F) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Start-At (((IC F) + 1),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC F) + 1 -started set
(IC ) .--> ((IC F) + 1) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC F) + 1) is Relation-like non-empty non empty-yielding {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC F) + 1)} -valued Function-like constant non empty total V25({(IC )},{((IC F) + 1)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC F) + 1)}))
{((IC F) + 1)} is non empty V19() finite V36() 1 -element with_non-empty_elements non empty-membered V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC F) + 1)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC F) + 1)})) is finite V36() V79() set
F +* (Start-At (((IC F) + 1),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC F) + 1 -started set
IncIC ((IncIC (F,1)),s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (IncIC (F,1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC (F,1)) . (IC ) is set
(IC (IncIC (F,1))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (IncIC (F,1))) + s),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC (IncIC (F,1))) + s -started set
(IC ) .--> ((IC (IncIC (F,1))) + s) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (IncIC (F,1))) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (IncIC (F,1))) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC (IncIC (F,1))) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (IncIC (F,1))) + s)}))
{((IC (IncIC (F,1))) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (IncIC (F,1))) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (IncIC (F,1))) + s)})) is finite V36() V79() set
(IncIC (F,1)) +* (Start-At (((IC (IncIC (F,1))) + s),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC (IncIC (F,1))) + s -started set
InsCode S is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of (STC N)
InsCodes the InstructionsF of (STC N) is non empty set
K60( the InstructionsF of (STC N)) is set
proj1 the InstructionsF of (STC N) is non empty set
proj1 (proj1 the InstructionsF of (STC N)) is set
K50(S) is set
K50(K50(S)) is set
InsCode S is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of (STC N)
InsCodes the InstructionsF of (STC N) is non empty set
K60( the InstructionsF of (STC N)) is set
proj1 the InstructionsF of (STC N) is non empty set
proj1 (proj1 the InstructionsF of (STC N)) is set
K50(S) is set
K50(K50(S)) is set
N is non empty non with_non-empty_elements set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() F -autonomic set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
{(IC )} is non empty V19() finite 1 -element V79() set
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
proj1 s is finite V79() set
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() F -autonomic set
proj1 s is finite V79() set
{(IC )} is non empty V19() finite 1 -element V79() set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
proj1 (DataPart s) is finite V79() set
{(IC )} \/ (proj1 (DataPart s)) is non empty finite V79() set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable AMI-Struct over N
NonZero (STC N) is finite V79() Element of K29( the carrier of (STC N))
the carrier of (STC N) is non empty finite V79() set
K29( the carrier of (STC N)) is finite V36() V79() set
[#] (STC N) is non empty non proper finite V79() Element of K29( the carrier of (STC N))
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
{(IC )} is non empty V19() finite 1 -element V79() set
([#] (STC N)) \ {(IC )} is finite V79() Element of K29( the carrier of (STC N))
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable AMI-Struct over N
the carrier of (STC N) is non empty finite V79() set
the_Values_of (STC N) is Relation-like non-empty non empty-yielding the carrier of (STC N) -defined Function-like non empty total set
the Object-Kind of (STC N) is Relation-like the carrier of (STC N) -defined N -valued Function-like non empty total V25( the carrier of (STC N),N) finite V79() Element of K29(K30( the carrier of (STC N),N))
K30( the carrier of (STC N),N) is Relation-like set
K29(K30( the carrier of (STC N),N)) is set
the ValuesF of (STC N) is Relation-like N -defined Function-like non empty total set
the Object-Kind of (STC N) (#) the ValuesF of (STC N) is Relation-like the carrier of (STC N) -defined Function-like non empty total finite V79() set
S is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible set
DataPart S is Relation-like non-empty empty-yielding the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
NonZero (STC N) is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() Element of K29( the carrier of (STC N))
K29( the carrier of (STC N)) is finite V36() V79() set
[#] (STC N) is non empty non proper finite V79() Element of K29( the carrier of (STC N))
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
{(IC )} is non empty V19() finite 1 -element V79() set
([#] (STC N)) \ {(IC )} is finite V79() Element of K29( the carrier of (STC N))
S | (NonZero (STC N)) is Relation-like non-empty empty-yielding NAT -defined NonZero (STC N) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable AMI-Struct over N
the InstructionsF of (STC N) is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of (STC N) is non empty finite V79() set
the_Values_of (STC N) is Relation-like non-empty non empty-yielding the carrier of (STC N) -defined Function-like non empty total set
the Object-Kind of (STC N) is Relation-like the carrier of (STC N) -defined N -valued Function-like non empty total V25( the carrier of (STC N),N) finite V79() Element of K29(K30( the carrier of (STC N),N))
K30( the carrier of (STC N),N) is Relation-like set
K29(K30( the carrier of (STC N),N)) is set
the ValuesF of (STC N) is Relation-like N -defined Function-like non empty total set
the Object-Kind of (STC N) (#) the ValuesF of (STC N) is Relation-like the carrier of (STC N) -defined Function-like non empty total finite V79() set
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
S is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
F is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() S -autonomic set
DataPart F is Relation-like non-empty empty-yielding the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
NonZero (STC N) is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() Element of K29( the carrier of (STC N))
K29( the carrier of (STC N)) is finite V36() V79() set
[#] (STC N) is non empty non proper finite V79() Element of K29( the carrier of (STC N))
{(IC )} is non empty V19() finite 1 -element V79() set
([#] (STC N)) \ {(IC )} is finite V79() Element of K29( the carrier of (STC N))
F | (NonZero (STC N)) is Relation-like non-empty empty-yielding NAT -defined NonZero (STC N) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
proj1 F is finite V79() set
S is ins-loc-free with_explicit_jumps IC-relocable Element of the InstructionsF of (STC N)
F is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
F + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncAddr (S,(F + s)) is ins-loc-free with_explicit_jumps IC-relocable Element of the InstructionsF of (STC N)
IncAddr (S,F) is ins-loc-free with_explicit_jumps IC-relocable Element of the InstructionsF of (STC N)
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IncIC (s,s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + s),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC s) + s -started set
(IC ) .--> ((IC s) + s) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + s)}))
{((IC s) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + s)})) is finite V36() V79() set
s +* (Start-At (((IC s) + s),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC s) + s -started set
Exec ((IncAddr (S,(F + s))),(IncIC (s,s))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))) is functional V77() V78() set
K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) is functional non empty set
the Execution of (STC N) is Relation-like the InstructionsF of (STC N) -defined K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) -valued Function-like non empty total V25( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) Function-yielding V152() Element of K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))))
K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) is Relation-like set
K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))))) is set
the Execution of (STC N) . (IncAddr (S,(F + s))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . (IncAddr (S,(F + s)))) . (IncIC (s,s)) is Relation-like Function-like set
Exec ((IncAddr (S,F)),s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
the Execution of (STC N) . (IncAddr (S,F)) is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . (IncAddr (S,F))) . s is Relation-like Function-like set
IncIC ((Exec ((IncAddr (S,F)),s)),s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Exec ((IncAddr (S,F)),s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (S,F)),s)) . (IC ) is set
(IC (Exec ((IncAddr (S,F)),s))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec ((IncAddr (S,F)),s))) + s),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC (Exec ((IncAddr (S,F)),s))) + s -started set
(IC ) .--> ((IC (Exec ((IncAddr (S,F)),s))) + s) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec ((IncAddr (S,F)),s))) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec ((IncAddr (S,F)),s))) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec ((IncAddr (S,F)),s))) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec ((IncAddr (S,F)),s))) + s)}))
{((IC (Exec ((IncAddr (S,F)),s))) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec ((IncAddr (S,F)),s))) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec ((IncAddr (S,F)),s))) + s)})) is finite V36() V79() set
(Exec ((IncAddr (S,F)),s)) +* (Start-At (((IC (Exec ((IncAddr (S,F)),s))) + s),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC (Exec ((IncAddr (S,F)),s))) + s -started set
Exec (S,(IncIC (s,s))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
the Execution of (STC N) . S is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . S) . (IncIC (s,s)) is Relation-like Function-like set
Exec (S,s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
( the Execution of (STC N) . S) . s is Relation-like Function-like set
IncIC ((Exec (S,s)),s) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Exec (S,s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec (S,s)) . (IC ) is set
(IC (Exec (S,s))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec (S,s))) + s),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC (Exec (S,s))) + s -started set
(IC ) .--> ((IC (Exec (S,s))) + s) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec (S,s))) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec (S,s))) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec (S,s))) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec (S,s))) + s)}))
{((IC (Exec (S,s))) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec (S,s))) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec (S,s))) + s)})) is finite V36() V79() set
(Exec (S,s)) +* (Start-At (((IC (Exec (S,s))) + s),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC (Exec (S,s))) + s -started set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) AMI-Struct over N
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
F is Element of the InstructionsF of S
N is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
S is non empty non with_non-empty_elements set
F is non empty with_non-empty_values IC-Ins-separated halting (S) AMI-Struct over S
the InstructionsF of F is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of F is non empty set
the_Values_of F is Relation-like non-empty non empty-yielding the carrier of F -defined Function-like non empty total set
the Object-Kind of F is Relation-like the carrier of F -defined S -valued Function-like non empty total V25( the carrier of F,S) Element of K29(K30( the carrier of F,S))
K30( the carrier of F,S) is Relation-like set
K29(K30( the carrier of F,S)) is set
the ValuesF of F is Relation-like S -defined Function-like non empty total set
the Object-Kind of F (#) the ValuesF of F is Relation-like the carrier of F -defined Function-like non empty total set
s is IC-relocable (S,F) Element of the InstructionsF of F
IncAddr (s,N) is IC-relocable (S,F) Element of the InstructionsF of F
s is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
IncIC (s,N) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69(F) Element of the carrier of F
the ZeroF of F is Element of the carrier of F
s . (IC ) is set
(IC s) + N is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + N),F) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty finite V79() (IC s) + N -started set
(IC ) .--> ((IC s) + N) is Relation-like the carrier of F -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + N) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + N)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + N)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + N)}))
{((IC s) + N)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + N)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + N)})) is finite V36() V79() set
s +* (Start-At (((IC s) + N),F)) is Relation-like the carrier of F -defined the carrier of F -defined Function-like the_Values_of F -compatible the_Values_of F -compatible non empty total (IC s) + N -started set
Exec ((IncAddr (s,N)),(IncIC (s,N))) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
K282(( the Object-Kind of F (#) the ValuesF of F)) is functional V77() V78() set
K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F))) is functional non empty set
the Execution of F is Relation-like the InstructionsF of F -defined K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F))) -valued Function-like non empty total V25( the InstructionsF of F,K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))) Function-yielding V152() Element of K29(K30( the InstructionsF of F,K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))))
K30( the InstructionsF of F,K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))) is Relation-like set
K29(K30( the InstructionsF of F,K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F))))) is set
the Execution of F . (IncAddr (s,N)) is Relation-like Function-like Element of K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))
( the Execution of F . (IncAddr (s,N))) . (IncIC (s,N)) is Relation-like Function-like set
Exec (s,s) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
the Execution of F . s is Relation-like Function-like Element of K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))
( the Execution of F . s) . s is Relation-like Function-like set
IncIC ((Exec (s,s)),N) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
IC (Exec (s,s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec (s,s)) . (IC ) is set
(IC (Exec (s,s))) + N is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec (s,s))) + N),F) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty finite V79() (IC (Exec (s,s))) + N -started set
(IC ) .--> ((IC (Exec (s,s))) + N) is Relation-like the carrier of F -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec (s,s))) + N) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec (s,s))) + N)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec (s,s))) + N)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec (s,s))) + N)}))
{((IC (Exec (s,s))) + N)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec (s,s))) + N)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec (s,s))) + N)})) is finite V36() V79() set
(Exec (s,s)) +* (Start-At (((IC (Exec (s,s))) + N),F)) is Relation-like the carrier of F -defined the carrier of F -defined Function-like the_Values_of F -compatible the_Values_of F -compatible non empty total (IC (Exec (s,s))) + N -started set
0 + N is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() set
IncAddr (s,(0 + N)) is IC-relocable (S,F) Element of the InstructionsF of F
Exec ((IncAddr (s,(0 + N))),(IncIC (s,N))) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
the Execution of F . (IncAddr (s,(0 + N))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))
( the Execution of F . (IncAddr (s,(0 + N)))) . (IncIC (s,N)) is Relation-like Function-like set
IncAddr (s,0) is IC-relocable (S,F) Element of the InstructionsF of F
Exec ((IncAddr (s,0)),s) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
the Execution of F . (IncAddr (s,0)) is Relation-like Function-like Element of K80(K282(( the Object-Kind of F (#) the ValuesF of F)),K282(( the Object-Kind of F (#) the ValuesF of F)))
( the Execution of F . (IncAddr (s,0))) . s is Relation-like Function-like set
IncIC ((Exec ((IncAddr (s,0)),s)),N) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty total set
IC (Exec ((IncAddr (s,0)),s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (s,0)),s)) . (IC ) is set
(IC (Exec ((IncAddr (s,0)),s))) + N is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec ((IncAddr (s,0)),s))) + N),F) is Relation-like the carrier of F -defined Function-like the_Values_of F -compatible non empty finite V79() (IC (Exec ((IncAddr (s,0)),s))) + N -started set
(IC ) .--> ((IC (Exec ((IncAddr (s,0)),s))) + N) is Relation-like the carrier of F -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec ((IncAddr (s,0)),s))) + N) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec ((IncAddr (s,0)),s))) + N)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec ((IncAddr (s,0)),s))) + N)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec ((IncAddr (s,0)),s))) + N)}))
{((IC (Exec ((IncAddr (s,0)),s))) + N)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec ((IncAddr (s,0)),s))) + N)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec ((IncAddr (s,0)),s))) + N)})) is finite V36() V79() set
(Exec ((IncAddr (s,0)),s)) +* (Start-At (((IC (Exec ((IncAddr (s,0)),s))) + N),F)) is Relation-like the carrier of F -defined the carrier of F -defined Function-like the_Values_of F -compatible the_Values_of F -compatible non empty total (IC (Exec ((IncAddr (s,0)),s))) + N -started set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
F is IC-relocable (N,S) Element of the InstructionsF of S
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
s . (IC ) is set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
DecIC (s,P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(IC s) -' P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) -' P),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) -' P -started set
(IC ) .--> ((IC s) -' P) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) -' P) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) -' P)} -valued Function-like constant non empty total V25({(IC )},{((IC s) -' P)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) -' P)}))
{((IC s) -' P)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) -' P)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) -' P)})) is finite V36() V79() set
s +* (Start-At (((IC s) -' P),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC s) -' P -started set
Exec (F,(DecIC (s,P))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
K282(( the Object-Kind of S (#) the ValuesF of S)) is functional V77() V78() set
K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) is functional non empty set
the Execution of S is Relation-like the InstructionsF of S -defined K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) -valued Function-like non empty total V25( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) Function-yielding V152() Element of K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))))
K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) is Relation-like set
K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))))) is set
the Execution of S . F is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . F) . (DecIC (s,P)) is Relation-like Function-like set
IncAddr (F,P) is IC-relocable (N,S) Element of the InstructionsF of S
Exec ((IncAddr (F,P)),s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (IncAddr (F,P)) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (IncAddr (F,P))) . s is Relation-like Function-like set
DecIC ((Exec ((IncAddr (F,P)),s)),P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Exec ((IncAddr (F,P)),s)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((IncAddr (F,P)),s)) . (IC ) is set
(IC (Exec ((IncAddr (F,P)),s))) -' P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec ((IncAddr (F,P)),s))) -' P),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Exec ((IncAddr (F,P)),s))) -' P -started set
(IC ) .--> ((IC (Exec ((IncAddr (F,P)),s))) -' P) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec ((IncAddr (F,P)),s))) -' P) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec ((IncAddr (F,P)),s))) -' P)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec ((IncAddr (F,P)),s))) -' P)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec ((IncAddr (F,P)),s))) -' P)}))
{((IC (Exec ((IncAddr (F,P)),s))) -' P)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec ((IncAddr (F,P)),s))) -' P)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec ((IncAddr (F,P)),s))) -' P)})) is finite V36() V79() set
(Exec ((IncAddr (F,P)),s)) +* (Start-At (((IC (Exec ((IncAddr (F,P)),s))) -' P),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Exec ((IncAddr (F,P)),s))) -' P -started set
Start-At (s,S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() s -started set
(IC ) .--> s is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> s is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {s} -valued Function-like constant non empty total V25({(IC )},{s}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{s}))
{s} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{s}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{s})) is finite V36() V79() set
s +* (Start-At (s,S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total s -started set
IncIC ((s +* (Start-At (s,S))),P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (s +* (Start-At (s,S))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(s +* (Start-At (s,S))) . (IC ) is set
(IC (s +* (Start-At (s,S)))) + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (s +* (Start-At (s,S)))) + P),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (s +* (Start-At (s,S)))) + P -started set
(IC ) .--> ((IC (s +* (Start-At (s,S)))) + P) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (s +* (Start-At (s,S)))) + P) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (s +* (Start-At (s,S)))) + P)} -valued Function-like constant non empty total V25({(IC )},{((IC (s +* (Start-At (s,S)))) + P)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (s +* (Start-At (s,S)))) + P)}))
{((IC (s +* (Start-At (s,S)))) + P)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (s +* (Start-At (s,S)))) + P)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (s +* (Start-At (s,S)))) + P)})) is finite V36() V79() set
(s +* (Start-At (s,S))) +* (Start-At (((IC (s +* (Start-At (s,S)))) + P),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (s +* (Start-At (s,S)))) + P -started set
Start-At ((IC s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC s -started set
(IC ) .--> (IC s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC s)} -valued Function-like constant non empty total V25({(IC )},{(IC s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC s)}))
{(IC s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC s)})) is finite V36() V79() set
s +* (Start-At ((IC s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total IC s -started set
Exec (F,(s +* (Start-At (s,S)))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
( the Execution of S . F) . (s +* (Start-At (s,S))) is Relation-like Function-like set
IC (Exec (F,(s +* (Start-At (s,S))))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec (F,(s +* (Start-At (s,S))))) . (IC ) is set
Start-At ((IC (Exec (F,(s +* (Start-At (s,S)))))),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC (Exec (F,(s +* (Start-At (s,S))))) -started set
(IC ) .--> (IC (Exec (F,(s +* (Start-At (s,S)))))) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC (Exec (F,(s +* (Start-At (s,S)))))) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC (Exec (F,(s +* (Start-At (s,S))))))} -valued Function-like constant non empty total V25({(IC )},{(IC (Exec (F,(s +* (Start-At (s,S))))))}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC (Exec (F,(s +* (Start-At (s,S))))))}))
{(IC (Exec (F,(s +* (Start-At (s,S))))))} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC (Exec (F,(s +* (Start-At (s,S))))))}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC (Exec (F,(s +* (Start-At (s,S))))))})) is finite V36() V79() set
(Exec (F,(s +* (Start-At (s,S))))) +* (Start-At ((IC (Exec (F,(s +* (Start-At (s,S)))))),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total IC (Exec (F,(s +* (Start-At (s,S))))) -started set
IncIC ((Exec (F,(s +* (Start-At (s,S))))),P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(IC (Exec (F,(s +* (Start-At (s,S)))))) + P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Exec (F,(s +* (Start-At (s,S)))))) + P),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Exec (F,(s +* (Start-At (s,S)))))) + P -started set
(IC ) .--> ((IC (Exec (F,(s +* (Start-At (s,S)))))) + P) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Exec (F,(s +* (Start-At (s,S)))))) + P) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Exec (F,(s +* (Start-At (s,S)))))) + P)} -valued Function-like constant non empty total V25({(IC )},{((IC (Exec (F,(s +* (Start-At (s,S)))))) + P)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Exec (F,(s +* (Start-At (s,S)))))) + P)}))
{((IC (Exec (F,(s +* (Start-At (s,S)))))) + P)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Exec (F,(s +* (Start-At (s,S)))))) + P)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Exec (F,(s +* (Start-At (s,S)))))) + P)})) is finite V36() V79() set
(Exec (F,(s +* (Start-At (s,S))))) +* (Start-At (((IC (Exec (F,(s +* (Start-At (s,S)))))) + P),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Exec (F,(s +* (Start-At (s,S)))))) + P -started set
(IncIC ((Exec (F,(s +* (Start-At (s,S))))),P)) +* (Start-At ((IC (Exec (F,(s +* (Start-At (s,S)))))),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total IC (Exec (F,(s +* (Start-At (s,S))))) -started set
DecIC ((IncIC ((Exec (F,(s +* (Start-At (s,S))))),P)),P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC ((Exec (F,(s +* (Start-At (s,S))))),P)) . (IC ) is set
(IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P -started set
(IC ) .--> ((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P)} -valued Function-like constant non empty total V25({(IC )},{((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P)}))
{((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P)})) is finite V36() V79() set
(IncIC ((Exec (F,(s +* (Start-At (s,S))))),P)) +* (Start-At (((IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (IncIC ((Exec (F,(s +* (Start-At (s,S))))),P))) -' P -started set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) AMI-Struct over N
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() F -autonomic set
proj1 s is non empty finite V79() set
{(IC )} is non empty V19() finite 1 -element V79() set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
{(IC )} \/ (NonZero S) is non empty set
(proj1 s) /\ (NonZero S) is finite V79() Element of K29( the carrier of S)
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
N is non empty non with_non-empty_elements set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) AMI-Struct over N
the InstructionsF of (STC N) is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of (STC N) is non empty finite V79() set
the_Values_of (STC N) is Relation-like non-empty non empty-yielding the carrier of (STC N) -defined Function-like non empty total set
the Object-Kind of (STC N) is Relation-like the carrier of (STC N) -defined N -valued Function-like non empty total V25( the carrier of (STC N),N) finite V79() Element of K29(K30( the carrier of (STC N),N))
K30( the carrier of (STC N),N) is Relation-like set
K29(K30( the carrier of (STC N),N)) is set
the ValuesF of (STC N) is Relation-like N -defined Function-like non empty total set
the Object-Kind of (STC N) (#) the ValuesF of (STC N) is Relation-like the carrier of (STC N) -defined Function-like non empty total finite V79() set
S is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
proj1 S is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
F is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() S -autonomic set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
s is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (s,s,P) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (s,s,P)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
(Comput (s,s,P)) . (IC ) is set
(IC (Comput (s,s,P))) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
[0,0,0] is V22() V23() set
[1,0,0] is V22() V23() set
{[0,0,0],[1,0,0]} is Relation-like non empty finite standard-ins homogeneous J/A-independent V55() V79() set
d is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
(IC (Comput (s,s,P))) .--> d is Relation-like NAT -defined {(IC (Comput (s,s,P)))} -defined the InstructionsF of (STC N) -valued the InstructionsF of (STC N) -valued Function-like one-to-one constant non empty V19() finite 1 -element unique-halt V79() set
{(IC (Comput (s,s,P)))} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{(IC (Comput (s,s,P)))} --> d is Relation-like {(IC (Comput (s,s,P)))} -defined the InstructionsF of (STC N) -valued {d} -valued Function-like constant non empty total V25({(IC (Comput (s,s,P)))},{d}) finite V79() Element of K29(K30({(IC (Comput (s,s,P)))},{d}))
{d} is non empty V19() finite 1 -element V79() set
K30({(IC (Comput (s,s,P)))},{d}) is Relation-like finite V79() set
K29(K30({(IC (Comput (s,s,P)))},{d})) is finite V36() V79() set
S +* ((IC (Comput (s,s,P))) .--> d) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty finite V79() set
halt (STC N) is ins-loc-free halting V96(N, STC N) with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
halt the InstructionsF of (STC N) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
[0,{},{}] is V22() V23() set
[0,{}] is V22() set
{0,{}} is functional non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{0,{}},{0}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[0,{}],{}] is V22() set
(IC (Comput (s,s,P))) .--> (halt (STC N)) is Relation-like NAT -defined {(IC (Comput (s,s,P)))} -defined the InstructionsF of (STC N) -valued the InstructionsF of (STC N) -valued Function-like one-to-one constant non empty V19() finite 1 -element unique-halt V79() set
{(IC (Comput (s,s,P)))} --> (halt (STC N)) is Relation-like {(IC (Comput (s,s,P)))} -defined the InstructionsF of (STC N) -valued {(halt (STC N))} -valued Function-like constant non empty total V25({(IC (Comput (s,s,P)))},{(halt (STC N))}) finite V79() Element of K29(K30({(IC (Comput (s,s,P)))},{(halt (STC N))}))
{(halt (STC N))} is non empty V19() finite 1 -element V79() set
K30({(IC (Comput (s,s,P)))},{(halt (STC N))}) is Relation-like finite V79() set
K29(K30({(IC (Comput (s,s,P)))},{(halt (STC N))})) is finite V36() V79() set
S +* ((IC (Comput (s,s,P))) .--> (halt (STC N))) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty finite V79() set
s +* ((IC (Comput (s,s,P))) .--> d) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
s +* ((IC (Comput (s,s,P))) .--> (halt (STC N))) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
proj1 ((IC (Comput (s,s,P))) .--> (halt (STC N))) is non empty V19() finite 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
proj1 ((IC (Comput (s,s,P))) .--> d) is non empty V19() finite 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
Fs1 is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
c₁₄ is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
Comput (c₁₄,s,P) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
Comput (Fs1,s,P) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
((IC (Comput (s,s,P))) .--> (halt (STC N))) . (IC (Comput (s,s,P))) is set
c₁₄ . (IC (Comput (s,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
((IC (Comput (s,s,P))) .--> d) . (IC (Comput (s,s,P))) is set
Fs1 . (IC (Comput (s,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
proj1 F is non empty finite V79() set
(Comput (Fs1,s,P)) | (proj1 F) is Relation-like proj1 F -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
(Comput (s,s,P)) | (proj1 F) is Relation-like proj1 F -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
(Comput (c₁₄,s,P)) | (proj1 F) is Relation-like proj1 F -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
P + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Cs1i is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Comput (Fs1,s,Cs1i) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(Comput (Fs1,s,Cs1i)) | (proj1 F) is Relation-like proj1 F -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
Comput (c₁₄,s,Cs1i) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(Comput (c₁₄,s,Cs1i)) | (proj1 F) is Relation-like proj1 F -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
Following (Fs1,(Comput (Fs1,s,P))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
CurInstr (Fs1,(Comput (Fs1,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IC (Comput (Fs1,s,P)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (Fs1,s,P)) . (IC ) is set
Fs1 /. (IC (Comput (Fs1,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
Exec ((CurInstr (Fs1,(Comput (Fs1,s,P)))),(Comput (Fs1,s,P))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))) is functional V77() V78() set
K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) is functional non empty set
the Execution of (STC N) is Relation-like the InstructionsF of (STC N) -defined K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) -valued Function-like non empty total V25( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) Function-yielding V152() Element of K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))))
K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) is Relation-like set
K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))))) is set
the Execution of (STC N) . (CurInstr (Fs1,(Comput (Fs1,s,P)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . (CurInstr (Fs1,(Comput (Fs1,s,P))))) . (Comput (Fs1,s,P)) is Relation-like Function-like set
InsCode d is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of (STC N)
InsCodes the InstructionsF of (STC N) is non empty set
K60( the InstructionsF of (STC N)) is set
proj1 the InstructionsF of (STC N) is non empty set
proj1 (proj1 the InstructionsF of (STC N)) is set
K50(d) is set
K50(K50(d)) is set
Exec (d,(Comput (Fs1,s,P))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
the Execution of (STC N) . d is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . d) . (Comput (Fs1,s,P)) is Relation-like Function-like set
IC (Exec (d,(Comput (Fs1,s,P)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec (d,(Comput (Fs1,s,P)))) . (IC ) is set
succ (IC (Comput (Fs1,s,P))) is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() finite cardinal V79() V100() V101() V102() set
(IC (Comput (Fs1,s,P))) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
IC ((Comput (s,s,P)) | (proj1 F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
((Comput (s,s,P)) | (proj1 F)) . (IC ) is set
IC (Comput (Fs1,s,Cs1i)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (Fs1,s,Cs1i)) . (IC ) is set
Following (c₁₄,(Comput (c₁₄,s,P))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
CurInstr (c₁₄,(Comput (c₁₄,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IC (Comput (c₁₄,s,P)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (c₁₄,s,P)) . (IC ) is set
c₁₄ /. (IC (Comput (c₁₄,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
Exec ((CurInstr (c₁₄,(Comput (c₁₄,s,P)))),(Comput (c₁₄,s,P))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
the Execution of (STC N) . (CurInstr (c₁₄,(Comput (c₁₄,s,P)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . (CurInstr (c₁₄,(Comput (c₁₄,s,P))))) . (Comput (c₁₄,s,P)) is Relation-like Function-like set
c₁₄ . (IC (Comput (c₁₄,s,P))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IC (Comput (c₁₄,s,Cs1i)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (c₁₄,s,Cs1i)) . (IC ) is set
IC ((Comput (Fs1,s,Cs1i)) | (proj1 F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
((Comput (Fs1,s,Cs1i)) | (proj1 F)) . (IC ) is set
IC ((Comput (c₁₄,s,Cs1i)) | (proj1 F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
((Comput (c₁₄,s,Cs1i)) | (proj1 F)) . (IC ) is set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) (N) AMI-Struct over N
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() F -autonomic set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
x is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
proj1 F is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
proj1 x is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
d1 is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,s,d1) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (k,s,d1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
(Comput (k,s,d1)) . (IC ) is set
Comput (x,P,d1) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (x,P,d1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,P,d1)) . (IC ) is set
CurInstr (k,(Comput (k,s,d1))) is Element of the InstructionsF of S
k /. (IC (Comput (k,s,d1))) is Element of the InstructionsF of S
CurInstr (x,(Comput (x,P,d1))) is Element of the InstructionsF of S
x /. (IC (Comput (x,P,d1))) is Element of the InstructionsF of S
proj1 s is non empty finite V79() set
(Comput (k,s,d1)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
((Comput (k,s,d1)) | (proj1 s)) . (IC ) is set
(Comput (x,P,d1)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
((Comput (x,P,d1)) | (proj1 s)) . (IC ) is set
k . (IC (Comput (k,s,d1))) is Element of the InstructionsF of S
F . (IC (Comput (k,s,d1))) is set
x . (IC (Comput (x,P,d1))) is Element of the InstructionsF of S
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
Reloc (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (s,F)),F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() s -autonomic set
proj1 s is finite V79() set
IncIC (s,F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
(IC ) .--> ((IC s) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + F)}))
{((IC s) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + F)})) is finite V36() V79() set
s +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
P +* (IncIC (s,F)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k +* (Reloc (s,F)) is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
x is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput (k,P,x) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IncIC ((Comput (k,P,x)),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (k,P,x)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,x)) . (IC ) is set
(IC (Comput (k,P,x))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput (k,P,x))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput (k,P,x))) + F -started set
(IC ) .--> ((IC (Comput (k,P,x))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput (k,P,x))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput (k,P,x))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput (k,P,x))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput (k,P,x))) + F)}))
{((IC (Comput (k,P,x))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput (k,P,x))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput (k,P,x))) + F)})) is finite V36() V79() set
(Comput (k,P,x)) +* (Start-At (((IC (Comput (k,P,x))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput (k,P,x))) + F -started set
x + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(x + 1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput (k,P,(x + 1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IncIC ((Comput (k,P,(x + 1))),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (k,P,(x + 1))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,(x + 1))) . (IC ) is set
(IC (Comput (k,P,(x + 1)))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput (k,P,(x + 1)))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput (k,P,(x + 1)))) + F -started set
(IC ) .--> ((IC (Comput (k,P,(x + 1)))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput (k,P,(x + 1)))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput (k,P,(x + 1)))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput (k,P,(x + 1)))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput (k,P,(x + 1)))) + F)}))
{((IC (Comput (k,P,(x + 1)))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput (k,P,(x + 1)))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput (k,P,(x + 1)))) + F)})) is finite V36() V79() set
(Comput (k,P,(x + 1))) +* (Start-At (((IC (Comput (k,P,(x + 1)))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput (k,P,(x + 1)))) + F -started set
proj1 (Start-At (((IC (Comput (k,P,x))) + F),S)) is non empty finite V79() set
IC (IncIC ((Comput (k,P,x)),F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC ((Comput (k,P,x)),F)) . (IC ) is set
IC (Start-At (((IC (Comput (k,P,x))) + F),S)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Start-At (((IC (Comput (k,P,x))) + F),S)) . (IC ) is set
proj1 s is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 (IncAddr (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
d1 is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s /. d1 is IC-relocable (N,S) Element of the InstructionsF of S
s . (IC (Comput (k,P,x))) is set
k . (IC (Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
proj1 (Reloc (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x))) is IC-relocable (N,S) Element of the InstructionsF of S
IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x)) . (IC ) is set
(k +* (Reloc (s,F))) /. (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x))) is IC-relocable (N,S) Element of the InstructionsF of S
(k +* (Reloc (s,F))) . (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x))) is IC-relocable (N,S) Element of the InstructionsF of S
(Reloc (s,F)) . ((IC (Comput (k,P,x))) + F) is set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncAddr (s,F)) . d is set
s /. d is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((s /. d),F) is IC-relocable (N,S) Element of the InstructionsF of S
CurInstr (k,(Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
k /. (IC (Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((CurInstr (k,(Comput (k,P,x)))),F) is IC-relocable (N,S) Element of the InstructionsF of S
Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x)))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
K282(( the Object-Kind of S (#) the ValuesF of S)) is functional V77() V78() set
K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) is functional non empty set
the Execution of S is Relation-like the InstructionsF of S -defined K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) -valued Function-like non empty total V25( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) Function-yielding V152() Element of K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))))
K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) is Relation-like set
K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))))) is set
the Execution of S . (CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x))))) . (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),x)) is Relation-like Function-like set
Following (k,(Comput (k,P,x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((CurInstr (k,(Comput (k,P,x)))),(Comput (k,P,x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (CurInstr (k,(Comput (k,P,x)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (CurInstr (k,(Comput (k,P,x))))) . (Comput (k,P,x)) is Relation-like Function-like set
IncIC ((Following (k,(Comput (k,P,x)))),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Following (k,(Comput (k,P,x)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Following (k,(Comput (k,P,x)))) . (IC ) is set
(IC (Following (k,(Comput (k,P,x))))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Following (k,(Comput (k,P,x))))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Following (k,(Comput (k,P,x))))) + F -started set
(IC ) .--> ((IC (Following (k,(Comput (k,P,x))))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Following (k,(Comput (k,P,x))))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Following (k,(Comput (k,P,x))))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Following (k,(Comput (k,P,x))))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Following (k,(Comput (k,P,x))))) + F)}))
{((IC (Following (k,(Comput (k,P,x))))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Following (k,(Comput (k,P,x))))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Following (k,(Comput (k,P,x))))) + F)})) is finite V36() V79() set
(Following (k,(Comput (k,P,x)))) +* (Start-At (((IC (Following (k,(Comput (k,P,x))))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Following (k,(Comput (k,P,x))))) + F -started set
IC P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
P . (IC ) is set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(DataPart s) +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
P +* ((DataPart s) +* (Start-At (((IC s) + F),S))) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC s) + F -started set
P +* (DataPart s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(P +* (DataPart s)) +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC s) + F -started set
Comput (k,P,0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IncIC ((Comput (k,P,0)),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (k,P,0)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,0)) . (IC ) is set
(IC (Comput (k,P,0))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput (k,P,0))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput (k,P,0))) + F -started set
(IC ) .--> ((IC (Comput (k,P,0))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput (k,P,0))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput (k,P,0))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput (k,P,0))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput (k,P,0))) + F)}))
{((IC (Comput (k,P,0))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput (k,P,0))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput (k,P,0))) + F)})) is finite V36() V79() set
(Comput (k,P,0)) +* (Start-At (((IC (Comput (k,P,0))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput (k,P,0))) + F -started set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
Reloc (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (s,F)),F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() s -autonomic set
proj1 s is finite V79() set
IncIC (s,F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
(IC ) .--> ((IC s) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + F)}))
{((IC s) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + F)})) is finite V36() V79() set
s +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
P +* s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k +* s is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
x is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,P,x) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((k +* s),(P +* s),x) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IncIC ((Comput ((k +* s),(P +* s),x)),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* s),(P +* s),x)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* s),(P +* s),x)) . (IC ) is set
(IC (Comput ((k +* s),(P +* s),x))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* s),(P +* s),x))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* s),(P +* s),x))) + F -started set
(IC ) .--> ((IC (Comput ((k +* s),(P +* s),x))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* s),(P +* s),x))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* s),(P +* s),x))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* s),(P +* s),x))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* s),(P +* s),x))) + F)}))
{((IC (Comput ((k +* s),(P +* s),x))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* s),(P +* s),x))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* s),(P +* s),x))) + F)})) is finite V36() V79() set
(Comput ((k +* s),(P +* s),x)) +* (Start-At (((IC (Comput ((k +* s),(P +* s),x))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),x))) + F -started set
x + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Comput (k,P,(x + 1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((k +* s),(P +* s),(x + 1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IncIC ((Comput ((k +* s),(P +* s),(x + 1))),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* s),(P +* s),(x + 1))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* s),(P +* s),(x + 1))) . (IC ) is set
(IC (Comput ((k +* s),(P +* s),(x + 1)))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* s),(P +* s),(x + 1)))) + F -started set
(IC ) .--> ((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F)}))
{((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F)})) is finite V36() V79() set
(Comput ((k +* s),(P +* s),(x + 1))) +* (Start-At (((IC (Comput ((k +* s),(P +* s),(x + 1)))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),(x + 1)))) + F -started set
proj1 (Start-At (((IC (Comput ((k +* s),(P +* s),x))) + F),S)) is non empty finite V79() set
proj1 s is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 (IncAddr (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 (Reloc (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
IC (Comput (k,P,x)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,x)) . (IC ) is set
IC (Start-At (((IC (Comput ((k +* s),(P +* s),x))) + F),S)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Start-At (((IC (Comput ((k +* s),(P +* s),x))) + F),S)) . (IC ) is set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s /. d is IC-relocable (N,S) Element of the InstructionsF of S
s . d is set
proj1 (k +* s) is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
CurInstr (k,(Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
k /. (IC (Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
k . (IC (Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
(Reloc (s,F)) . (IC (Comput (k,P,x))) is set
(IncAddr (s,F)) . d is set
IncAddr ((s /. d),F) is IC-relocable (N,S) Element of the InstructionsF of S
(k +* s) . (IC (Comput ((k +* s),(P +* s),x))) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr (((k +* s) . (IC (Comput ((k +* s),(P +* s),x)))),F) is IC-relocable (N,S) Element of the InstructionsF of S
CurInstr ((k +* s),(Comput ((k +* s),(P +* s),x))) is IC-relocable (N,S) Element of the InstructionsF of S
(k +* s) /. (IC (Comput ((k +* s),(P +* s),x))) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((CurInstr ((k +* s),(Comput ((k +* s),(P +* s),x)))),F) is IC-relocable (N,S) Element of the InstructionsF of S
Following (k,(Comput (k,P,x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((CurInstr (k,(Comput (k,P,x)))),(Comput (k,P,x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
K282(( the Object-Kind of S (#) the ValuesF of S)) is functional V77() V78() set
K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) is functional non empty set
the Execution of S is Relation-like the InstructionsF of S -defined K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) -valued Function-like non empty total V25( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) Function-yielding V152() Element of K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))))
K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) is Relation-like set
K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))))) is set
the Execution of S . (CurInstr (k,(Comput (k,P,x)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (CurInstr (k,(Comput (k,P,x))))) . (Comput (k,P,x)) is Relation-like Function-like set
Following ((k +* s),(Comput ((k +* s),(P +* s),x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((CurInstr ((k +* s),(Comput ((k +* s),(P +* s),x)))),(Comput ((k +* s),(P +* s),x))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (CurInstr ((k +* s),(Comput ((k +* s),(P +* s),x)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (CurInstr ((k +* s),(Comput ((k +* s),(P +* s),x))))) . (Comput ((k +* s),(P +* s),x)) is Relation-like Function-like set
IncIC ((Following ((k +* s),(Comput ((k +* s),(P +* s),x)))),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Following ((k +* s),(Comput ((k +* s),(P +* s),x)))) . (IC ) is set
(IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F -started set
(IC ) .--> ((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F)}))
{((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F)})) is finite V36() V79() set
(Following ((k +* s),(Comput ((k +* s),(P +* s),x)))) +* (Start-At (((IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Following ((k +* s),(Comput ((k +* s),(P +* s),x))))) + F -started set
Start-At ((IC s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC s -started set
(IC ) .--> (IC s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC s)} -valued Function-like constant non empty total V25({(IC )},{(IC s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC s)}))
{(IC s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC s)})) is finite V36() V79() set
proj1 (Start-At ((IC s),S)) is non empty finite V79() set
Comput ((k +* s),(P +* s),0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* s),(P +* s),0)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* s),(P +* s),0)) . (IC ) is set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (IncIC (s,F)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(IncIC (s,F)) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(IC (Comput ((k +* s),(P +* s),0))) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* s),(P +* s),0))) + F -started set
(IC ) .--> ((IC (Comput ((k +* s),(P +* s),0))) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* s),(P +* s),0))) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* s),(P +* s),0))) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* s),(P +* s),0))) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* s),(P +* s),0))) + F)}))
{((IC (Comput ((k +* s),(P +* s),0))) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* s),(P +* s),0))) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* s),(P +* s),0))) + F)})) is finite V36() V79() set
proj1 (Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S)) is non empty finite V79() set
Comput (k,P,0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
P +* (Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),0))) + F -started set
P +* (DataPart s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(P +* (DataPart s)) +* (Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),0))) + F -started set
(P +* (DataPart s)) +* (Start-At ((IC s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total IC s -started set
((P +* (DataPart s)) +* (Start-At ((IC s),S))) +* (Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),0))) + F -started set
(DataPart s) +* (Start-At ((IC s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() IC s -started set
P +* ((DataPart s) +* (Start-At ((IC s),S))) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total IC s -started set
(P +* ((DataPart s) +* (Start-At ((IC s),S)))) +* (Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),0))) + F -started set
IncIC ((Comput ((k +* s),(P +* s),0)),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((k +* s),(P +* s),0)) +* (Start-At (((IC (Comput ((k +* s),(P +* s),0))) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* s),(P +* s),0))) + F -started set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
Reloc (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (s,F)),F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() set
proj1 s is non empty finite V79() set
IncIC (s,F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
(IC ) .--> ((IC s) + F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + F)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + F)}))
{((IC s) + F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + F)})) is finite V36() V79() set
s +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
Start-At ((IC s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC s -started set
(IC ) .--> (IC s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC s)} -valued Function-like constant non empty total V25({(IC )},{(IC s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC s)}))
{(IC s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC s)})) is finite V36() V79() set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
P +* (IncIC (s,F)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k +* (Reloc (s,F)) is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
d1 is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,P,d1) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)) . (IC ) is set
(IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F -started set
(IC ) .--> ((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F)}))
{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F)})) is finite V36() V79() set
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)) +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F -started set
d1 + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Comput (k,P,(d1 + 1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1))),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1))) . (IC ) is set
(IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F -started set
(IC ) .--> ((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F)}))
{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F)})) is finite V36() V79() set
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1))) +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),(d1 + 1)))) -' F -started set
proj1 (Reloc (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
proj1 s is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
{ (b₁ + F) where b₁ is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT : b₁ in proj1 s } is set
proj1 (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F),S)) is non empty finite V79() set
pd is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
pd + F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
proj1 (k +* (Reloc (s,F))) is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
Shift (s,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
IncAddr ((Shift (s,F)),F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
x is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift (x,F) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
proj1 (Shift (x,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 x is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
{ (b₁ + F) where b₁ is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT : b₁ in proj1 x } is set
proj1 (Shift (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Shift (s,F)) /. d is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr (((Shift (s,F)) /. d),F) is IC-relocable (N,S) Element of the InstructionsF of S
(Reloc (s,F)) . (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is set
(k +* (Reloc (s,F))) . (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is IC-relocable (N,S) Element of the InstructionsF of S
CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is IC-relocable (N,S) Element of the InstructionsF of S
(k +* (Reloc (s,F))) /. (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is IC-relocable (N,S) Element of the InstructionsF of S
(pd + F) -' F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
IC (DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)),F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)),F)) . (IC ) is set
(Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) -' F),S)) . (IC ) is set
CurInstr (k,(Comput (k,P,d1))) is IC-relocable (N,S) Element of the InstructionsF of S
IC (Comput (k,P,d1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,d1)) . (IC ) is set
k /. (IC (Comput (k,P,d1))) is IC-relocable (N,S) Element of the InstructionsF of S
k . (IC (Comput (k,P,d1))) is IC-relocable (N,S) Element of the InstructionsF of S
s . (IC (Comput (k,P,d1))) is set
(Shift (s,F)) . (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is set
Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
K282(( the Object-Kind of S (#) the ValuesF of S)) is functional V77() V78() set
K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) is functional non empty set
the Execution of S is Relation-like the InstructionsF of S -defined K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))) -valued Function-like non empty total V25( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) Function-yielding V152() Element of K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))))
K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))) is Relation-like set
K29(K30( the InstructionsF of S,K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S))))) is set
the Execution of S . (CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (CurInstr ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) . (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)) is Relation-like Function-like set
Exec ((CurInstr (k,(Comput (k,P,d1)))),(DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)),F))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Execution of S . (CurInstr (k,(Comput (k,P,d1)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of S (#) the ValuesF of S)),K282(( the Object-Kind of S (#) the ValuesF of S)))
( the Execution of S . (CurInstr (k,(Comput (k,P,d1))))) . (DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)),F)) is Relation-like Function-like set
DecIC ((Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)))),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)))) . (IC ) is set
(IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F -started set
(IC ) .--> ((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F)}))
{((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F)})) is finite V36() V79() set
(Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1)))) +* (Start-At (((IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Following ((k +* (Reloc (s,F))),(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),d1))))) -' F -started set
Following (k,(Comput (k,P,d1))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Exec ((CurInstr (k,(Comput (k,P,d1)))),(Comput (k,P,d1))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
( the Execution of S . (CurInstr (k,(Comput (k,P,d1))))) . (Comput (k,P,d1)) is Relation-like Function-like set
proj1 (IncIC (s,F)) is finite V79() set
Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0)) . (IC ) is set
IC (IncIC (s,F)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC (s,F)) . (IC ) is set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F -started set
(IC ) .--> ((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F)}))
{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F)})) is finite V36() V79() set
proj1 (Start-At (((IC s) + F),S)) is non empty finite V79() set
proj1 (Reloc (s,F)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
P | (proj1 (Reloc (s,F))) is Relation-like proj1 (Reloc (s,F)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
proj1 (DataPart s) is finite V79() set
proj1 (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S)) is non empty finite V79() set
(Start-At (((IC s) + F),S)) +* (DataPart s) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
(DataPart s) +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + F -started set
Comput (k,P,0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
P +* (Start-At ((IC s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total IC s -started set
((IC s) + F) -' F is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At ((((IC s) + F) -' F),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() ((IC s) + F) -' F -started set
(IC ) .--> (((IC s) + F) -' F) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (((IC s) + F) -' F) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(((IC s) + F) -' F)} -valued Function-like constant non empty total V25({(IC )},{(((IC s) + F) -' F)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(((IC s) + F) -' F)}))
{(((IC s) + F) -' F)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(((IC s) + F) -' F)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(((IC s) + F) -' F)})) is finite V36() V79() set
P +* (Start-At ((((IC s) + F) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total ((IC s) + F) -' F -started set
P +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F -started set
P +* (DataPart s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(P +* (DataPart s)) +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F -started set
(P +* (DataPart s)) +* (Start-At (((IC s) + F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC s) + F -started set
((P +* (DataPart s)) +* (Start-At (((IC s) + F),S))) +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F -started set
P +* ((DataPart s) +* (Start-At (((IC s) + F),S))) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC s) + F -started set
(P +* ((DataPart s) +* (Start-At (((IC s) + F),S)))) +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F -started set
DecIC ((Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0)),F) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0)) +* (Start-At (((IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (s,F))),(P +* (IncIC (s,F))),0))) -' F -started set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() set
proj1 s is non empty finite V79() set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Reloc (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (F,s)),s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
IncIC (s,s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
(IC ) .--> ((IC s) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + s)}))
{((IC s) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + s)})) is finite V36() V79() set
s +* (Start-At (((IC s) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
P is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
proj1 (IncIC (s,s)) is finite V79() set
x is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (P,x,d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput (P,x,d)) | (proj1 (IncIC (s,s))) is Relation-like proj1 (IncIC (s,s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Comput (k,d1,d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput (k,d1,d)) | (proj1 (IncIC (s,s))) is Relation-like proj1 (IncIC (s,s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
k +* F is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
d1 +* s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((k +* F),(d1 +* s),d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((k +* F),(d1 +* s),d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* F),(d1 +* s),d)) . (IC ) is set
(IC (Comput ((k +* F),(d1 +* s),d))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* F),(d1 +* s),d))) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* F),(d1 +* s),d))) + s -started set
(IC ) .--> ((IC (Comput ((k +* F),(d1 +* s),d))) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* F),(d1 +* s),d))) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* F),(d1 +* s),d))) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* F),(d1 +* s),d))) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* F),(d1 +* s),d))) + s)}))
{((IC (Comput ((k +* F),(d1 +* s),d))) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* F),(d1 +* s),d))) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* F),(d1 +* s),d))) + s)})) is finite V36() V79() set
proj1 (Start-At (((IC (Comput ((k +* F),(d1 +* s),d))) + s),S)) is non empty finite V79() set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
proj1 (DataPart s) is finite V79() set
P +* F is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
x +* s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((P +* F),(x +* s),d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput ((P +* F),(x +* s),d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((P +* F),(x +* s),d)) . (IC ) is set
(IC (Comput ((P +* F),(x +* s),d))) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((P +* F),(x +* s),d))) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((P +* F),(x +* s),d))) + s -started set
(IC ) .--> ((IC (Comput ((P +* F),(x +* s),d))) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((P +* F),(x +* s),d))) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((P +* F),(x +* s),d))) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((P +* F),(x +* s),d))) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((P +* F),(x +* s),d))) + s)}))
{((IC (Comput ((P +* F),(x +* s),d))) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((P +* F),(x +* s),d))) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((P +* F),(x +* s),d))) + s)})) is finite V36() V79() set
proj1 (Start-At (((IC (Comput ((P +* F),(x +* s),d))) + s),S)) is non empty finite V79() set
(Comput ((P +* F),(x +* s),d)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((k +* F),(d1 +* s),d)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (P,x,d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IncIC ((Comput ((P +* F),(x +* s),d)),s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((P +* F),(x +* s),d)) +* (Start-At (((IC (Comput ((P +* F),(x +* s),d))) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((P +* F),(x +* s),d))) + s -started set
(IncIC ((Comput ((P +* F),(x +* s),d)),s)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((P +* F),(x +* s),d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((k +* F),(d1 +* s),d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IncIC ((Comput ((k +* F),(d1 +* s),d)),s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((k +* F),(d1 +* s),d)) +* (Start-At (((IC (Comput ((k +* F),(d1 +* s),d))) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* F),(d1 +* s),d))) + s -started set
(IncIC ((Comput ((k +* F),(d1 +* s),d)),s)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (k,d1,d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Start-At ((IC (Comput ((P +* F),(x +* s),d))),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC (Comput ((P +* F),(x +* s),d)) -started set
(IC ) .--> (IC (Comput ((P +* F),(x +* s),d))) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC (Comput ((P +* F),(x +* s),d))) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC (Comput ((P +* F),(x +* s),d)))} -valued Function-like constant non empty total V25({(IC )},{(IC (Comput ((P +* F),(x +* s),d)))}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC (Comput ((P +* F),(x +* s),d)))}))
{(IC (Comput ((P +* F),(x +* s),d)))} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC (Comput ((P +* F),(x +* s),d)))}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC (Comput ((P +* F),(x +* s),d)))})) is finite V36() V79() set
(Comput ((P +* F),(x +* s),d)) | {(IC )} is Relation-like {(IC )} -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((k +* F),(d1 +* s),d)) | {(IC )} is Relation-like {(IC )} -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Start-At ((IC (Comput ((k +* F),(d1 +* s),d))),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC (Comput ((k +* F),(d1 +* s),d)) -started set
(IC ) .--> (IC (Comput ((k +* F),(d1 +* s),d))) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC (Comput ((k +* F),(d1 +* s),d))) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC (Comput ((k +* F),(d1 +* s),d)))} -valued Function-like constant non empty total V25({(IC )},{(IC (Comput ((k +* F),(d1 +* s),d)))}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC (Comput ((k +* F),(d1 +* s),d)))}))
{(IC (Comput ((k +* F),(d1 +* s),d)))} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC (Comput ((k +* F),(d1 +* s),d)))}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC (Comput ((k +* F),(d1 +* s),d)))})) is finite V36() V79() set
proj1 (Start-At (((IC s) + s),S)) is non empty finite V79() set
(Comput (P,x,d)) | (proj1 (Start-At (((IC s) + s),S))) is Relation-like proj1 (Start-At (((IC s) + s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(IncIC ((Comput ((P +* F),(x +* s),d)),s)) | (proj1 (Start-At (((IC s) + s),S))) is Relation-like proj1 (Start-At (((IC s) + s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(IncIC ((Comput ((k +* F),(d1 +* s),d)),s)) | (proj1 (Start-At (((IC s) + s),S))) is Relation-like proj1 (Start-At (((IC s) + s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (k,d1,d)) | (proj1 (Start-At (((IC s) + s),S))) is Relation-like proj1 (Start-At (((IC s) + s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
{(IC )} \/ (proj1 (DataPart s)) is non empty finite V79() set
(Comput (P,x,d)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (P,x,d)) | {(IC )} is Relation-like {(IC )} -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
((Comput (P,x,d)) | {(IC )}) \/ ((Comput (P,x,d)) | (proj1 (DataPart s))) is Relation-like the carrier of S -defined finite V79() set
(Comput (k,d1,d)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(proj1 s) \/ (proj1 (Start-At (((IC s) + s),S))) is non empty finite V79() set
((Comput (P,x,d)) | (proj1 s)) \/ ((Comput (P,x,d)) | (proj1 (Start-At (((IC s) + s),S)))) is Relation-like the carrier of S -defined finite V79() set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
P is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
P +* (Reloc (F,s)) is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
k +* (Reloc (F,s)) is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
x is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (P,x,d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput (P,x,d)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Comput (k,d1,d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput (k,d1,d)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
x +* (IncIC (s,s)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d1 +* (IncIC (s,s)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
proj1 (IncIC (s,s)) is finite V79() set
(Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) | (proj1 (IncIC (s,s))) is Relation-like proj1 (IncIC (s,s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) | (proj1 (IncIC (s,s))) is Relation-like proj1 (IncIC (s,s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) . (IC ) is set
(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s -started set
(IC ) .--> ((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s)}))
{((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s)})) is finite V36() V79() set
proj1 (Start-At (((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s),S)) is non empty finite V79() set
proj1 (DataPart s) is finite V79() set
IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) . (IC ) is set
(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s -started set
(IC ) .--> ((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s)}))
{((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s)})) is finite V36() V79() set
proj1 (Start-At (((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s),S)) is non empty finite V79() set
(Comput (P,x,d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DecIC ((Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)),s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) +* (Start-At (((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) -' s -started set
(DecIC ((Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)),s)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DecIC ((Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)),s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
(Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) +* (Start-At (((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty total (IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) -' s -started set
(DecIC ((Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)),s)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (k,d1,d)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Start-At ((IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) -started set
(IC ) .--> (IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d))) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)))} -valued Function-like constant non empty total V25({(IC )},{(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)))}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)))}))
{(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)))} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)))}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC (Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)))})) is finite V36() V79() set
(Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)) | {(IC )} is Relation-like {(IC )} -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) | {(IC )} is Relation-like {(IC )} -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Start-At ((IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)) -started set
(IC ) .--> (IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d))) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)))} -valued Function-like constant non empty total V25({(IC )},{(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)))}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)))}))
{(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)))} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)))}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC (Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)))})) is finite V36() V79() set
Start-At ((IC s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() IC s -started set
(IC ) .--> (IC s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> (IC s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {(IC s)} -valued Function-like constant non empty total V25({(IC )},{(IC s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{(IC s)}))
{(IC s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{(IC s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{(IC s)})) is finite V36() V79() set
proj1 (Start-At ((IC s),S)) is non empty finite V79() set
(Comput (P,x,d)) | (proj1 (Start-At ((IC s),S))) is Relation-like proj1 (Start-At ((IC s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(DecIC ((Comput ((P +* (Reloc (F,s))),(x +* (IncIC (s,s))),d)),s)) | (proj1 (Start-At ((IC s),S))) is Relation-like proj1 (Start-At ((IC s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(DecIC ((Comput ((k +* (Reloc (F,s))),(d1 +* (IncIC (s,s))),d)),s)) | (proj1 (Start-At ((IC s),S))) is Relation-like proj1 (Start-At ((IC s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (k,d1,d)) | (proj1 (Start-At ((IC s),S))) is Relation-like proj1 (Start-At ((IC s),S)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Start-At ((IC s),S)) +* (DataPart s) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() IC s -started set
proj1 ((Start-At ((IC s),S)) +* (DataPart s)) is non empty finite V79() set
(Comput (P,x,d)) | (proj1 ((Start-At ((IC s),S)) +* (DataPart s))) is Relation-like proj1 ((Start-At ((IC s),S)) +* (DataPart s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(proj1 (Start-At ((IC s),S))) \/ (proj1 (DataPart s)) is non empty finite V79() set
(Comput (P,x,d)) | ((proj1 (Start-At ((IC s),S))) \/ (proj1 (DataPart s))) is Relation-like (proj1 (Start-At ((IC s),S))) \/ (proj1 (DataPart s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
((Comput (k,d1,d)) | (proj1 (Start-At ((IC s),S)))) \/ ((Comput (k,d1,d)) | (proj1 (DataPart s))) is Relation-like the carrier of S -defined finite V79() set
(Comput (k,d1,d)) | ((proj1 (Start-At ((IC s),S))) \/ (proj1 (DataPart s))) is Relation-like (proj1 (Start-At ((IC s),S))) \/ (proj1 (DataPart s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (k,d1,d)) | (proj1 ((Start-At ((IC s),S)) +* (DataPart s))) is Relation-like proj1 ((Start-At ((IC s),S)) +* (DataPart s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
N is non empty non with_non-empty_elements set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) (N) AMI-Struct over N
the InstructionsF of (STC N) is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of (STC N) is non empty finite V79() set
the_Values_of (STC N) is Relation-like non-empty non empty-yielding the carrier of (STC N) -defined Function-like non empty total set
the Object-Kind of (STC N) is Relation-like the carrier of (STC N) -defined N -valued Function-like non empty total V25( the carrier of (STC N),N) finite V79() Element of K29(K30( the carrier of (STC N),N))
K30( the carrier of (STC N),N) is Relation-like set
K29(K30( the carrier of (STC N),N)) is set
the ValuesF of (STC N) is Relation-like N -defined Function-like non empty total set
the Object-Kind of (STC N) (#) the ValuesF of (STC N) is Relation-like the carrier of (STC N) -defined Function-like non empty total finite V79() set
S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
F is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
Reloc (F,S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
IncAddr (F,S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite V79() set
Shift ((IncAddr (F,S)),S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite V79() set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() F -autonomic set
IncIC (s,S) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
s . (IC ) is set
(IC s) + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + S),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC s) + S -started set
(IC ) .--> ((IC s) + S) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + S) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + S)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + S)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + S)}))
{((IC s) + S)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + S)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + S)})) is finite V36() V79() set
s +* (Start-At (((IC s) + S),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty finite V79() (IC s) + S -started set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
P is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
proj1 s is non empty finite V79() set
k is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
x is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
DataPart P is Relation-like non-empty empty-yielding the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
NonZero (STC N) is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() Element of K29( the carrier of (STC N))
K29( the carrier of (STC N)) is finite V36() V79() set
[#] (STC N) is non empty non proper finite V79() Element of K29( the carrier of (STC N))
([#] (STC N)) \ {(IC )} is finite V79() Element of K29( the carrier of (STC N))
P | (NonZero (STC N)) is Relation-like non-empty empty-yielding NAT -defined NonZero (STC N) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
s +* (DataPart P) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
DataPart s is Relation-like non-empty empty-yielding the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
s | (NonZero (STC N)) is Relation-like non-empty empty-yielding NAT -defined NonZero (STC N) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,s,d) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (k,s,d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,s,d)) . (IC ) is set
(IC (Comput (k,s,d))) + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (x,P,d) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (x,P,d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,P,d)) . (IC ) is set
CurInstr (k,(Comput (k,s,d))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
k /. (IC (Comput (k,s,d))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IncAddr ((CurInstr (k,(Comput (k,s,d)))),S) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
CurInstr (x,(Comput (x,P,d))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
x /. (IC (Comput (x,P,d))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
d + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Comput (k,s,(d + 1)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (k,s,(d + 1))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,s,(d + 1))) . (IC ) is set
(IC (Comput (k,s,(d + 1)))) + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (x,P,(d + 1)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (x,P,(d + 1))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,P,(d + 1))) . (IC ) is set
CurInstr (k,(Comput (k,s,(d + 1)))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
k /. (IC (Comput (k,s,(d + 1)))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IncAddr ((CurInstr (k,(Comput (k,s,(d + 1))))),S) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
CurInstr (x,(Comput (x,P,(d + 1)))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
x /. (IC (Comput (x,P,(d + 1)))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
Comput (k,(s +* (DataPart P)),d) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
Comput (k,(s +* (DataPart P)),(d + 1)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
I is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
proj1 F is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
I + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
proj1 (Reloc (F,S)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 x is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
k . I is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
F . I is set
(Reloc (F,S)) . (I + S) is set
x . (IC (Comput (x,P,(d + 1)))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
Following (x,(Comput (x,P,d))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
Exec ((CurInstr (x,(Comput (x,P,d)))),(Comput (x,P,d))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))) is functional V77() V78() set
K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) is functional non empty set
the Execution of (STC N) is Relation-like the InstructionsF of (STC N) -defined K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))) -valued Function-like non empty total V25( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) Function-yielding V152() Element of K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))))
K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))) is Relation-like set
K29(K30( the InstructionsF of (STC N),K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N)))))) is set
the Execution of (STC N) . (CurInstr (x,(Comput (x,P,d)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . (CurInstr (x,(Comput (x,P,d))))) . (Comput (x,P,d)) is Relation-like Function-like set
Following (k,(Comput (k,s,d))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
Exec ((CurInstr (k,(Comput (k,s,d)))),(Comput (k,s,d))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
the Execution of (STC N) . (CurInstr (k,(Comput (k,s,d)))) is Relation-like Function-like Element of K80(K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))),K282(( the Object-Kind of (STC N) (#) the ValuesF of (STC N))))
( the Execution of (STC N) . (CurInstr (k,(Comput (k,s,d))))) . (Comput (k,s,d)) is Relation-like Function-like set
[0,0,0] is V22() V23() set
[1,0,0] is V22() V23() set
{[0,0,0],[1,0,0]} is Relation-like non empty finite standard-ins homogeneous J/A-independent V55() V79() set
halt (STC N) is ins-loc-free halting V96(N, STC N) with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
halt the InstructionsF of (STC N) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
[0,{},{}] is V22() V23() set
[0,{}] is V22() set
{0,{}} is functional non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{0,{}},{0}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[0,{}],{}] is V22() set
InsCode (CurInstr (k,(Comput (k,s,d)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() finite cardinal V79() V100() V102() Element of InsCodes the InstructionsF of (STC N)
InsCodes the InstructionsF of (STC N) is non empty set
K60( the InstructionsF of (STC N)) is set
proj1 the InstructionsF of (STC N) is non empty set
proj1 (proj1 the InstructionsF of (STC N)) is set
K50((CurInstr (k,(Comput (k,s,d))))) is set
K50(K50((CurInstr (k,(Comput (k,s,d)))))) is set
Exec ((CurInstr (k,(Comput (k,s,d)))),(Comput (x,P,d))) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
( the Execution of (STC N) . (CurInstr (k,(Comput (k,s,d))))) . (Comput (x,P,d)) is Relation-like Function-like set
IncIC ((Comput (x,P,d)),1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(IC (Comput (x,P,d))) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
Start-At (((IC (Comput (x,P,d))) + 1),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC (Comput (x,P,d))) + 1 -started set
(IC ) .--> ((IC (Comput (x,P,d))) + 1) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (Comput (x,P,d))) + 1) is Relation-like non-empty non empty-yielding {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (Comput (x,P,d))) + 1)} -valued Function-like constant non empty total V25({(IC )},{((IC (Comput (x,P,d))) + 1)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (Comput (x,P,d))) + 1)}))
{((IC (Comput (x,P,d))) + 1)} is non empty V19() finite V36() 1 -element with_non-empty_elements non empty-membered V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (Comput (x,P,d))) + 1)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (Comput (x,P,d))) + 1)})) is finite V36() V79() set
(Comput (x,P,d)) +* (Start-At (((IC (Comput (x,P,d))) + 1),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty total (IC (Comput (x,P,d))) + 1 -started set
succ (IC (Comput (k,s,d))) is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() finite cardinal V79() V100() V101() V102() set
(IC (Comput (k,s,d))) + 1 is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
(succ (IC (Comput (k,s,d)))) + S is epsilon-transitive epsilon-connected ordinal natural non empty V28() V29() V30() finite cardinal V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() V120() Element of NAT
IC (Exec ((CurInstr (k,(Comput (k,s,d)))),(Comput (x,P,d)))) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Exec ((CurInstr (k,(Comput (k,s,d)))),(Comput (x,P,d)))) . (IC ) is set
proj1 (IncIC (s,S)) is finite V79() set
Comput (k,s,0) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (k,s,0)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,s,0)) . (IC ) is set
(IC (Comput (k,s,0))) + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC (IncIC (s,S)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(IncIC (s,S)) . (IC ) is set
Comput (x,P,0) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
IC (Comput (x,P,0)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,P,0)) . (IC ) is set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
proj1 F is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
proj1 (Reloc (F,S)) is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
F . (IC s) is set
k . (IC s) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
proj1 x is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
CurInstr (x,(Comput (x,P,0))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
x /. (IC (Comput (x,P,0))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
x . (IC (Comput (x,P,0))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
x . (IC (IncIC (s,S))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
x . ((IC s) + S) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
(Reloc (F,S)) . ((IC s) + S) is set
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
CurInstr (k,(Comput (k,s,0))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
k /. (IC (Comput (k,s,0))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IncAddr ((CurInstr (k,(Comput (k,s,0)))),S) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) (N) AMI-Struct over N
the InstructionsF of (STC N) is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of (STC N) is non empty finite V79() set
the_Values_of (STC N) is Relation-like non-empty non empty-yielding the carrier of (STC N) -defined Function-like non empty total set
the Object-Kind of (STC N) is Relation-like the carrier of (STC N) -defined N -valued Function-like non empty total V25( the carrier of (STC N),N) finite V79() Element of K29(K30( the carrier of (STC N),N))
K30( the carrier of (STC N),N) is Relation-like set
K29(K30( the carrier of (STC N),N)) is set
the ValuesF of (STC N) is Relation-like N -defined Function-like non empty total set
the Object-Kind of (STC N) (#) the ValuesF of (STC N) is Relation-like the carrier of (STC N) -defined Function-like non empty total finite V79() set
F is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() F -autonomic set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IncIC (s,S) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
s . (IC ) is set
(IC s) + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + S),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC s) + S -started set
(IC ) .--> ((IC s) + S) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + S) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + S)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + S)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + S)}))
{((IC s) + S)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + S)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + S)})) is finite V36() V79() set
s +* (Start-At (((IC s) + S),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty finite V79() (IC s) + S -started set
P is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
Reloc (F,S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
IncAddr (F,S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite V79() set
Shift ((IncAddr (F,S)),S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite V79() set
x is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
d1 is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,s,d1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
CurInstr (k,(Comput (k,s,d1))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IC (Comput (k,s,d1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,s,d1)) . (IC ) is set
k /. (IC (Comput (k,s,d1))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IncAddr ((CurInstr (k,(Comput (k,s,d1)))),S) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
Comput (x,P,d1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
CurInstr (x,(Comput (x,P,d1))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
IC (Comput (x,P,d1)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,P,d1)) . (IC ) is set
x /. (IC (Comput (x,P,d1))) is ins-loc-free with_explicit_jumps IC-relocable (N, STC N) Element of the InstructionsF of (STC N)
S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
F is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
Reloc (F,S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite non halt-free V79() set
IncAddr (F,S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite V79() set
Shift ((IncAddr (F,S)),S) is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like finite V79() set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() F -autonomic set
IncIC (s,S) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69( STC N) Element of the carrier of (STC N)
the ZeroF of (STC N) is Element of the carrier of (STC N)
s . (IC ) is set
(IC s) + S is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + S),(STC N)) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty finite V79() (IC s) + S -started set
(IC ) .--> ((IC s) + S) is Relation-like the carrier of (STC N) -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + S) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + S)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + S)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + S)}))
{((IC s) + S)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + S)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + S)})) is finite V36() V79() set
s +* (Start-At (((IC s) + S),(STC N))) is Relation-like the carrier of (STC N) -defined the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible non empty finite V79() (IC s) + S -started set
DataPart s is Relation-like non-empty empty-yielding the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
NonZero (STC N) is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() Element of K29( the carrier of (STC N))
K29( the carrier of (STC N)) is finite V36() V79() set
[#] (STC N) is non empty non proper finite V79() Element of K29( the carrier of (STC N))
([#] (STC N)) \ {(IC )} is finite V79() Element of K29( the carrier of (STC N))
s | (NonZero (STC N)) is Relation-like non-empty empty-yielding NAT -defined NonZero (STC N) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
proj1 (DataPart s) is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
s is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
P is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
x is Relation-like NAT -defined the InstructionsF of (STC N) -valued Function-like non empty total set
d1 is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,s,d1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(Comput (k,s,d1)) | (proj1 (DataPart s)) is Relation-like non-empty empty-yielding NAT -defined proj1 (DataPart s) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
Comput (x,P,d1) is Relation-like the carrier of (STC N) -defined Function-like the_Values_of (STC N) -compatible non empty total set
(Comput (x,P,d1)) | (proj1 (DataPart s)) is Relation-like non-empty empty-yielding NAT -defined proj1 (DataPart s) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
dom (DataPart s) is Relation-like non-empty empty-yielding NAT -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() Element of K29(NAT)
(Comput (k,s,d1)) | (dom (DataPart s)) is Relation-like non-empty empty-yielding NAT -defined dom (DataPart s) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
(Comput (x,P,d1)) | (dom (DataPart s)) is Relation-like non-empty empty-yielding NAT -defined dom (DataPart s) -defined the carrier of (STC N) -defined the carrier of (STC N) -defined RAT -valued epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural Function-like one-to-one constant functional the_Values_of (STC N) -compatible the_Values_of (STC N) -compatible empty V28() V29() finite finite-yielding V36() cardinal {} -element V40() V41() V42() V50() V76() V79() data-only V100() V101() V102() V103() V104() V105() V106() V107() V108() V109() V112() V113() V114() V115() V121() V122() V123() V124() Function-yielding V152() V155() set
N is non empty non with_non-empty_elements set
STC N is non empty finite with_non-empty_values IC-Ins-separated strict halting standard with_explicit_jumps IC-relocable (N) (N) (N) (N) (N) AMI-Struct over N
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() F -autonomic set
proj1 s is non empty finite V79() set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Reloc (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (F,s)),s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
IncIC (s,s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
(IC ) .--> ((IC s) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + s)}))
{((IC s) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + s)})) is finite V36() V79() set
s +* (Start-At (((IC s) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k +* F is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
P +* s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
x is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
halt S is halting V96(N,S) IC-relocable (N,S) Element of the InstructionsF of S
halt the InstructionsF of S is ins-loc-free IC-relocable (N,S) Element of the InstructionsF of S
[0,{},{}] is V22() V23() set
[0,{}] is V22() set
{0,{}} is functional non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{0,{}},{0}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[0,{}],{}] is V22() set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (x,(P +* s),d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
CurInstr (x,(Comput (x,(P +* s),d))) is IC-relocable (N,S) Element of the InstructionsF of S
IC (Comput (x,(P +* s),d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,(P +* s),d)) . (IC ) is set
x /. (IC (Comput (x,(P +* s),d))) is IC-relocable (N,S) Element of the InstructionsF of S
Comput (k,P,d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (k,P,d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,d)) . (IC ) is set
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
CurInstr (k,(Comput (k,P,d))) is IC-relocable (N,S) Element of the InstructionsF of S
k /. (IC (Comput (k,P,d))) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((halt S),s) is IC-relocable (N,S) Element of the InstructionsF of S
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
k +* (Reloc (F,s)) is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
P +* (IncIC (s,s)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
x is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
halt S is halting V96(N,S) IC-relocable (N,S) Element of the InstructionsF of S
halt the InstructionsF of S is ins-loc-free IC-relocable (N,S) Element of the InstructionsF of S
[0,{},{}] is V22() V23() set
[0,{}] is V22() set
{0,{}} is functional non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{0,{}},{0}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[0,{}],{}] is V22() set
d is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (x,(P +* (IncIC (s,s))),d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
CurInstr (x,(Comput (x,(P +* (IncIC (s,s))),d))) is IC-relocable (N,S) Element of the InstructionsF of S
IC (Comput (x,(P +* (IncIC (s,s))),d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (x,(P +* (IncIC (s,s))),d)) . (IC ) is set
x /. (IC (Comput (x,(P +* (IncIC (s,s))),d))) is IC-relocable (N,S) Element of the InstructionsF of S
Comput (k,P,d) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (k,P,d)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,d)) . (IC ) is set
proj1 k is non empty V103() V104() V105() V106() V107() V108() V110() V112() set
CurInstr (k,(Comput (k,P,d))) is IC-relocable (N,S) Element of the InstructionsF of S
k /. (IC (Comput (k,P,d))) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((CurInstr (k,(Comput (k,P,d)))),s) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((halt S),s) is IC-relocable (N,S) Element of the InstructionsF of S
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() F -autonomic F -halted set
proj1 s is non empty finite V79() set
Result (F,s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result (F,s)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
{(IC )} is non empty V19() finite 1 -element V79() set
([#] S) \ {(IC )} is Element of K29( the carrier of S)
(Result (F,s)) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Reloc (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (F,s)),s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
IncIC (s,s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
(IC s) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
(IC ) .--> ((IC s) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC s) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + s)}))
{((IC s) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + s)})) is finite V36() V79() set
s +* (Start-At (((IC s) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
Result ((Reloc (F,s)),(IncIC (s,s))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result ((Reloc (F,s)),(IncIC (s,s)))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(Result ((Reloc (F,s)),(IncIC (s,s)))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
k is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
Result (k,P) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
CurInstr (k,(Result (k,P))) is IC-relocable (N,S) Element of the InstructionsF of S
IC (Result (k,P)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Result (k,P)) . (IC ) is set
k /. (IC (Result (k,P))) is IC-relocable (N,S) Element of the InstructionsF of S
halt S is halting V96(N,S) IC-relocable (N,S) Element of the InstructionsF of S
halt the InstructionsF of S is ins-loc-free IC-relocable (N,S) Element of the InstructionsF of S
[0,{},{}] is V22() V23() set
[0,{}] is V22() set
{0,{}} is functional non empty finite V36() V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
{{0,{}},{0}} is non empty finite V36() with_non-empty_elements non empty-membered V79() set
[[0,{}],{}] is V22() set
x is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Comput (k,P,x) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
d is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
Comput (d,d1,x) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (d,d1,x)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (d,d1,x)) . (IC ) is set
d . (IC (Comput (d,d1,x))) is IC-relocable (N,S) Element of the InstructionsF of S
CurInstr (d,(Comput (d,d1,x))) is IC-relocable (N,S) Element of the InstructionsF of S
d /. (IC (Comput (d,d1,x))) is IC-relocable (N,S) Element of the InstructionsF of S
CurInstr (k,(Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
IC (Comput (k,P,x)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (k,P,x)) . (IC ) is set
k /. (IC (Comput (k,P,x))) is IC-relocable (N,S) Element of the InstructionsF of S
IncAddr ((CurInstr (k,(Comput (k,P,x)))),s) is IC-relocable (N,S) Element of the InstructionsF of S
Result (d,d1) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
DataPart s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
s | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
proj1 (DataPart s) is finite V79() set
(Comput (d,d1,x)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Comput (k,P,x)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (IncIC (s,s)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(IncIC (s,s)) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Result (k,P)) | (proj1 s) is Relation-like proj1 s -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart ((Result (k,P)) | (proj1 s)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
((Result (k,P)) | (proj1 s)) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(proj1 s) /\ (NonZero S) is finite V79() Element of K29( the carrier of S)
(Result (k,P)) | ((proj1 s) /\ (NonZero S)) is Relation-like (proj1 s) /\ (NonZero S) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Result (k,P)) | (proj1 (DataPart s)) is Relation-like proj1 (DataPart s) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
proj1 (IncIC (s,s)) is finite V79() set
(proj1 (IncIC (s,s))) /\ (NonZero S) is finite V79() Element of K29( the carrier of S)
(Result (d,d1)) | ((proj1 (IncIC (s,s))) /\ (NonZero S)) is Relation-like (proj1 (IncIC (s,s))) /\ (NonZero S) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(Result (d,d1)) | (proj1 (IncIC (s,s))) is Relation-like proj1 (IncIC (s,s)) -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
((Result (d,d1)) | (proj1 (IncIC (s,s)))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Reloc (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (F,s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (F,s)),s) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() F -autonomic F -halted set
IncIC (s,s) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
s . (IC ) is set
(IC s) + s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC s) + s),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
(IC ) .--> ((IC s) + s) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC s) + s) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC s) + s)} -valued Function-like constant non empty total V25({(IC )},{((IC s) + s)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC s) + s)}))
{((IC s) + s)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC s) + s)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC s) + s)})) is finite V36() V79() set
s +* (Start-At (((IC s) + s),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC s) + s -started set
proj1 s is non empty finite V79() set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) (N) (N) (N) AMI-Struct over N
FinPartSt S is functional non empty Element of K29(K286((the_Values_of S)))
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the carrier of S is non empty set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
K286((the_Values_of S)) is functional non empty set
K29(K286((the_Values_of S))) is set
{ b₁ where b₁ is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible Element of K286((the_Values_of S)) : b₁ is finite } is set
K30((FinPartSt S),(FinPartSt S)) is Relation-like set
K29(K30((FinPartSt S),(FinPartSt S))) is set
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like FinPartSt S -defined FinPartSt S -valued Function-like data-only Function-yielding V152() Element of K29(K30((FinPartSt S),(FinPartSt S)))
s is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
P is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() s -autonomic s -halted set
proj1 P is non empty finite V79() set
k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Reloc (s,k) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
IncAddr (s,k) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
Shift ((IncAddr (s,k)),k) is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite V79() set
IncIC (P,k) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() Reloc (s,k) -halted set
IC P is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
P . (IC ) is set
(IC P) + k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC P) + k),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC P) + k -started set
(IC ) .--> ((IC P) + k) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} is non empty V19() finite 1 -element V79() set
{(IC )} --> ((IC P) + k) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC P) + k)} -valued Function-like constant non empty total V25({(IC )},{((IC P) + k)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC P) + k)}))
{((IC P) + k)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC P) + k)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC P) + k)})) is finite V36() V79() set
P +* (Start-At (((IC P) + k),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC P) + k -started set
x is set
proj1 F is set
d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
P +* d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() set
F . d1 is Relation-like Function-like set
Result (s,(P +* d1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
P +* d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() set
proj1 (P +* d) is non empty finite V79() set
proj1 d is finite V79() set
(proj1 P) \/ (proj1 d) is non empty finite V79() set
IncIC ((P +* d),k) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC (P +* d) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(P +* d) . (IC ) is set
(IC (P +* d)) + k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (P +* d)) + k),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (P +* d)) + k -started set
(IC ) .--> ((IC (P +* d)) + k) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (P +* d)) + k) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (P +* d)) + k)} -valued Function-like constant non empty total V25({(IC )},{((IC (P +* d)) + k)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (P +* d)) + k)}))
{((IC (P +* d)) + k)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (P +* d)) + k)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (P +* d)) + k)})) is finite V36() V79() set
(P +* d) +* (Start-At (((IC (P +* d)) + k),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC (P +* d)) + k -started set
pd is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() s -autonomic s -halted set
Result (s,pd) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result (s,pd)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
(Result (s,pd)) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Result ((Reloc (s,k)),(IncIC ((P +* d),k))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result ((Reloc (s,k)),(IncIC ((P +* d),k)))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(Result ((Reloc (s,k)),(IncIC ((P +* d),k)))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(IncIC (P,k)) +* d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Result ((Reloc (s,k)),((IncIC (P,k)) +* d)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result ((Reloc (s,k)),((IncIC (P,k)) +* d))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(Result ((Reloc (s,k)),((IncIC (P,k)) +* d))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
F . d is Relation-like Function-like set
Fs1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
x is set
proj1 F is set
d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
(IncIC (P,k)) +* d1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
F . d1 is Relation-like Function-like set
Result ((Reloc (s,k)),((IncIC (P,k)) +* d1)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
P +* d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() set
proj1 (P +* d) is non empty finite V79() set
proj1 d is finite V79() set
(proj1 P) \/ (proj1 d) is non empty finite V79() set
(IncIC (P,k)) +* d is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IncIC ((P +* d),k) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
IC (P +* d) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(P +* d) . (IC ) is set
(IC (P +* d)) + k is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
Start-At (((IC (P +* d)) + k),S) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() (IC (P +* d)) + k -started set
(IC ) .--> ((IC (P +* d)) + k) is Relation-like the carrier of S -defined {(IC )} -defined NAT -valued RAT -valued INT -valued Function-like one-to-one constant non empty V19() finite 1 -element V76() V79() V121() V122() V123() V124() V125() V126() V127() V128() set
{(IC )} --> ((IC (P +* d)) + k) is Relation-like {(IC )} -defined NAT -valued RAT -valued INT -valued {((IC (P +* d)) + k)} -valued Function-like constant non empty total V25({(IC )},{((IC (P +* d)) + k)}) finite V76() V79() V121() V122() V123() V124() Element of K29(K30({(IC )},{((IC (P +* d)) + k)}))
{((IC (P +* d)) + k)} is non empty V19() finite V36() 1 -element V79() V103() V104() V105() V106() V107() V108() V110() V111() V112() V113() V114() set
K30({(IC )},{((IC (P +* d)) + k)}) is Relation-like RAT -valued INT -valued finite V79() V121() V122() V123() V124() set
K29(K30({(IC )},{((IC (P +* d)) + k)})) is finite V36() V79() set
(P +* d) +* (Start-At (((IC (P +* d)) + k),S)) is Relation-like the carrier of S -defined the carrier of S -defined Function-like the_Values_of S -compatible the_Values_of S -compatible non empty finite V79() (IC (P +* d)) + k -started set
pd is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty finite V79() s -autonomic s -halted set
proj1 pd is non empty finite V79() set
DataPart (Result ((Reloc (s,k)),((IncIC (P,k)) +* d1))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
NonZero S is Element of K29( the carrier of S)
K29( the carrier of S) is set
[#] S is non empty non proper Element of K29( the carrier of S)
([#] S) \ {(IC )} is Element of K29( the carrier of S)
(Result ((Reloc (s,k)),((IncIC (P,k)) +* d1))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Result ((Reloc (s,k)),(IncIC ((P +* d),k))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result ((Reloc (s,k)),(IncIC ((P +* d),k)))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(Result ((Reloc (s,k)),(IncIC ((P +* d),k)))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
Result (s,(P +* d)) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
DataPart (Result (s,(P +* d))) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() data-only set
(Result (s,(P +* d))) | (NonZero S) is Relation-like NonZero S -defined the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
F . d is Relation-like Function-like set
Fs1 is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting (N) (N) AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
IC is V69(S) Element of the carrier of S
the ZeroF of S is Element of the carrier of S
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like finite non halt-free V79() set
proj1 F is finite V79() V103() V104() V105() V106() V107() V108() V112() V113() V114() set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible finite V79() F -autonomic set
proj1 s is finite V79() set
IC s is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
s . (IC ) is set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
the Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
the Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set +* F is Relation-like NAT -defined the InstructionsF of S -valued the InstructionsF of S -valued Function-like non empty total non halt-free set
Comput (( the Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set +* F),s,0) is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total set
IC (Comput (( the Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set +* F),s,0)) is epsilon-transitive epsilon-connected ordinal natural V28() V29() V30() finite cardinal V79() V100() V102() V103() V104() V105() V106() V107() V108() V112() V113() V114() V120() Element of NAT
(Comput (( the Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set +* F),s,0)) . (IC ) is set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
N is non empty non with_non-empty_elements set
S is non empty with_non-empty_values IC-Ins-separated halting AMI-Struct over N
the InstructionsF of S is Relation-like non empty standard-ins homogeneous J/A-independent V55() set
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total 0 -started set
s is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set
F is Relation-like NAT -defined the InstructionsF of S -valued Function-like set
the carrier of S is non empty set
the_Values_of S is Relation-like non-empty non empty-yielding the carrier of S -defined Function-like non empty total set
the Object-Kind of S is Relation-like the carrier of S -defined N -valued Function-like non empty total V25( the carrier of S,N) Element of K29(K30( the carrier of S,N))
K30( the carrier of S,N) is Relation-like set
K29(K30( the carrier of S,N)) is set
the ValuesF of S is Relation-like N -defined Function-like non empty total set
the Object-Kind of S (#) the ValuesF of S is Relation-like the carrier of S -defined Function-like non empty total set
s is Relation-like the carrier of S -defined Function-like the_Values_of S -compatible non empty total 0 -started set
s is Relation-like NAT -defined the InstructionsF of S -valued Function-like non empty total set