Nuprl Lemma : member-eclass_wf

[T,U:Type]. ∀[X:EClass(U)]. ∀[es:EO+(T)]. ∀[e:E].  (e ∈b X ∈ 𝔹)


Proof




Definitions occuring in Statement :  member-eclass: e ∈b X eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E bool: 𝔹 uall: [x:A]. B[x] member: t ∈ T universe: Type
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T member-eclass: e ∈b X eclass: EClass(A[eo; e]) subtype_rel: A ⊆B nat: so_lambda: λ2y.t[x; y] so_apply: x[s1;s2]

Latex:
\mforall{}[T,U:Type].  \mforall{}[X:EClass(U)].  \mforall{}[es:EO+(T)].  \mforall{}[e:E].    (e  \mmember{}\msubb{}  X  \mmember{}  \mBbbB{})



Date html generated: 2016_05_16-PM-01_27_42
Last ObjectModification: 2015_12_29-PM-02_04_38

Theory : event-ordering


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