Nuprl Lemma : es-interface-state_wf

∀[Info,T,A:Type]. ∀[X:EClass(T)]. ∀[g:(T List) ⟶ bag(A)].  (es-interface-state(X; g) ∈ EClass(A))


Proof




Definitions occuring in Statement :  es-interface-state: es-interface-state(X; g),  eclass: EClass(A[eo; e]),  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ⟶ B[x],  universe: Type,  bag: bag(T)
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  es-interface-state: es-interface-state(X; g),  eclass: EClass(A[eo; e]),  subtype_rel: A ⊆r B,  so_lambda: λ2x y.t[x; y],  so_apply: x[s1;s2],  so_lambda: λ2x.t[x],  uimplies: b supposing a,  all: ∀x:A. B[x],  top: Top,  so_apply: x[s],  prop: ℙ,  es-E-interface: E(X)

Latex:
\mforall{}[Info,T,A:Type].  \mforall{}[X:EClass(T)].  \mforall{}[g:(T  List)  {}\mrightarrow{}  bag(A)].    (es-interface-state(X;  g)  \mmember{}  EClass(A))



Date html generated: 2016_05_16-PM-10_45_08
Last ObjectModification: 2015_12_29-AM-11_01_49

Theory : event-ordering


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