Nuprl Lemma : es-interface-history_wf

[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X:EClass(A List)]. ∀[e:E].  (es-interface-history(es;X;e) ∈ List)


Proof




Definitions occuring in Statement :  es-interface-history: es-interface-history(es;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
Definitions unfolded in proof :  es-interface-history: es-interface-history(es;X;e) uall: [x:A]. B[x] member: t ∈ T subtype_rel: A ⊆B all: x:A. B[x] so_lambda: λ2y.t[x; y] so_apply: x[s1;s2] uimplies: supposing a top: Top prop: so_lambda: λ2x.t[x] so_apply: x[s] in-eclass: e ∈b X eq_int: (i =z j) bag-size: #(bs) length: ||as|| list_ind: list_ind es-E-interface: E(X)

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A:Type].  \mforall{}[X:EClass(A  List)].  \mforall{}[e:E].
    (es-interface-history(es;X;e)  \mmember{}  A  List)



Date html generated: 2016_05_16-PM-10_57_18
Last ObjectModification: 2015_12_29-AM-10_46_25

Theory : event-ordering


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