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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