Nuprl Lemma : eclass0-bag_wf

[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[f:Id ⟶ bag(B) ⟶ bag(C)].  (eclass0-bag(f;X) ∈ EClass(C))


Proof




Definitions occuring in Statement :  eclass0-bag: eclass0-bag(f;X) 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 eclass0-bag: eclass0-bag(f;X) eclass: EClass(A[eo; e]) 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)].  \mforall{}[f:Id  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)].    (eclass0-bag(f;X)  \mmember{}  EClass(C))



Date html generated: 2016_05_16-PM-02_15_07
Last ObjectModification: 2015_12_29-AM-11_46_51

Theory : event-ordering


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