Nuprl Lemma : class-opt_wf

[Info,T:Type]. ∀[X:EClass(T)]. ∀[b:Id ⟶ bag(T)].  (X?b ∈ EClass(T))


Proof




Definitions occuring in Statement :  class-opt: X?b eclass: EClass(A[eo; e]) Id: Id 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 class-opt: X?b eclass: EClass(A[eo; e]) all: x:A. B[x] subtype_rel: A ⊆B so_lambda: λ2y.t[x; y] so_apply: x[s1;s2]

Latex:
\mforall{}[Info,T:Type].  \mforall{}[X:EClass(T)].  \mforall{}[b:Id  {}\mrightarrow{}  bag(T)].    (X?b  \mmember{}  EClass(T))



Date html generated: 2016_05_16-PM-11_48_08
Last ObjectModification: 2015_12_29-AM-10_03_16

Theory : event-ordering


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