Nuprl Lemma : in-eclass_wf

[T:Type]. ∀[X:EClass(Top)]. ∀[eo:EO+(T)]. ∀[e:E].  (e ∈b X ∈ 𝔹)


Proof




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

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



Date html generated: 2016_05_16-PM-02_18_42
Last ObjectModification: 2015_12_29-AM-11_44_20

Theory : event-ordering


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