Nuprl Lemma : eclass_wf

[T:Type]. ∀[A:es:EO+(T) ⟶ E ⟶ Type].  (EClass(A[es;e]) ∈ 𝕌')


Proof




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

Latex:
\mforall{}[T:Type].  \mforall{}[A:es:EO+(T)  {}\mrightarrow{}  E  {}\mrightarrow{}  Type].    (EClass(A[es;e])  \mmember{}  \mBbbU{}')



Date html generated: 2016_05_16-PM-01_26_17
Last ObjectModification: 2015_12_29-PM-02_02_04

Theory : event-ordering


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