Nuprl Lemma : mbind-class_wf

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


Proof




Definitions occuring in Statement :  mbind-class: X >>Y eclass: EClass(A[eo; e]) uall: [x:A]. B[x] member: t ∈ T function: x:A ⟶ B[x] universe: Type
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T mbind-class: X >>Y so_lambda: λ2x.t[x] so_apply: x[s] so_lambda: λ2y.t[x; y] subtype_rel: A ⊆B so_apply: x[s1;s2]

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[X:EClass(A)].  \mforall{}[Y:A  {}\mrightarrow{}  EClass(B)].    (X  >>=  Y  \mmember{}  EClass(B))



Date html generated: 2016_05_17-AM-00_22_03
Last ObjectModification: 2015_12_29-AM-00_46_56

Theory : event-ordering


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