Nuprl Lemma : es-E-interface-conditional-subtype1

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)].  (E(X) ⊆r E([X?Y]))


Proof




Definitions occuring in Statement :  es-E-interface: E(X),  cond-class: [X?Y],  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  subtype_rel: A ⊆r B,  uall: ∀[x:A]. B[x],  top: Top,  universe: Type
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  subtype_rel: A ⊆r B,  so_lambda: λ2x y.t[x; y],  so_apply: x[s1;s2]

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X,Y:EClass(Top)].    (E(X)  \msubseteq{}r  E([X?Y]))



Date html generated: 2016_05_16-PM-02_53_30
Last ObjectModification: 2015_12_29-AM-11_18_20

Theory : event-ordering


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