Nuprl Lemma : State-class_wf
∀[Info,A,B:Type]. ∀[init:Id ─→ bag(B)]. ∀[f:A ─→ B ─→ B]. ∀[X:EClass(A)]. (State-class(init;f;X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
State-class: State-class(init;f;X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
simple-comb-2_wf,
bag-null_wf,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
assert-bag-null,
equal-wf-T-base,
bag_wf,
lifting-2_wf,
Memory-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
(State-class(init;f;X) \mmember{} EClass(B))
Date html generated:
2015_07_22-PM-00_20_14
Last ObjectModification:
2015_01_28-AM-10_13_10
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