Nuprl Lemma : es-interface-prior-vals_wf

[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[e:E].  (X(≤e) ∈ List)


Proof




Definitions occuring in Statement :  es-interface-prior-vals: X(≤e) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E list: List uall: [x:A]. B[x] member: t ∈ T universe: Type
Lemmas :  es-causl-swellfnd nat_properties less_than_transitivity1 less_than_irreflexivity ge_wf less_than_wf int_seg_wf int_seg_subtype-nat decidable__le subtract_wf false_wf not-ge-2 less-iff-le condition-implies-le minus-one-mul zero-add minus-add minus-minus add-associates add-swap add-commutes add_functionality_wrt_le add-zero le-add-cancel decidable__equal_int subtype_rel-int_seg le_weakening int_seg_properties le_wf nat_wf zero-le-nat lelt_wf es-causl_wf append_wf in-eclass_wf es-interface-subtype_rel2 es-E_wf event-ordering+_subtype top_wf bool_wf eqtt_to_assert cons_wf eclass-val_wf nil_wf eqff_to_assert equal_wf bool_cases_sqequal subtype_base_sq bool_subtype_base assert-bnot es-first_wf2 es-pred_wf es-pred-locl es-causl_weakening decidable__lt not-equal-2 le-add-cancel-alt not-le-2 sq_stable__le add-mul-special zero-mul eclass_wf event-ordering+_wf

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[T:Type].  \mforall{}[X:EClass(T)].  \mforall{}[e:E].    (X(\mleq{}e)  \mmember{}  T  List)



Date html generated: 2015_07_20-PM-03_44_06
Last ObjectModification: 2015_01_27-PM-10_12_05

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