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: 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 ⊆B so_lambda: λ2y.t[x; y] so_apply: x[s1;s2] so_lambda: λ2x.t[x] uimplies: supposing a all: x:A. B[x] top: Top so_apply: x[s] prop: 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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