Nuprl Lemma : eclass2_wf

[Info,B,C:Type]. ∀[X:EClass(B ⟶ bag(C))]. ∀[Y:EClass(B)].  ((X Y) ∈ EClass(C))


Proof




Definitions occuring in Statement :  eclass2: (X Y) eclass: EClass(A[eo; e]) 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 eclass2: (X Y) eclass: EClass(A[eo; e]) so_lambda: λ2x.t[x] so_apply: x[s] subtype_rel: A ⊆B so_lambda: λ2y.t[x; y] so_apply: x[s1;s2]

Latex:
\mforall{}[Info,B,C:Type].  \mforall{}[X:EClass(B  {}\mrightarrow{}  bag(C))].  \mforall{}[Y:EClass(B)].    ((X  o  Y)  \mmember{}  EClass(C))



Date html generated: 2016_05_16-PM-02_11_15
Last ObjectModification: 2015_12_29-PM-02_29_48

Theory : event-ordering


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