Nuprl Lemma : class-le-before_wf

∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E].  (class-le-before(X;es;e) ∈ bag(T))


Proof




Definitions occuring in Statement :  class-le-before: class-le-before(X;es;e),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  es-E: E,  uall: ∀[x:A]. B[x],  member: t ∈ T,  universe: Type,  bag: bag(T)
Definitions unfolded in proof :  eclass: EClass(A[eo; e]),  uall: ∀[x:A]. B[x],  member: t ∈ T,  class-le-before: class-le-before(X;es;e),  subtype_rel: A ⊆r B,  uimplies: b supposing a,  so_lambda: λ2x.t[x],  so_apply: x[s]

Latex:
\mforall{}[Info,T:Type].  \mforall{}[X:EClass(T)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].    (class-le-before(X;es;e)  \mmember{}  bag(T))



Date html generated: 2016_05_16-PM-01_28_03
Last ObjectModification: 2015_12_29-PM-02_04_50

Theory : event-ordering


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