Nuprl Lemma : State-comb_wf

[Info,A,B:Type]. ∀[init:Id ─→ bag(B)]. ∀[f:A ─→ B ─→ B]. ∀[X:EClass(A)].  (State-comb(init;f;X) ∈ EClass(B))


Proof




Definitions occuring in Statement :  State-comb: State-comb(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 :  rec-combined-class-opt-1_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 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-comb(init;f;X)  \mmember{}  EClass(B))



Date html generated: 2015_07_22-PM-00_20_40
Last ObjectModification: 2015_01_28-AM-10_12_52

Home Index