Nuprl Lemma : eclass-state_wf
∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)]. (eclass-state(init;f;X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
eclass-state: eclass-state(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
Lemmas :
loop-class_wf,
eclass1_wf,
bag_wf,
single-bag_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
(eclass-state(init;f;X) \mmember{} EClass(B))
Date html generated:
2015_07_21-PM-02_41_18
Last ObjectModification:
2015_01_27-PM-09_38_38
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