Nuprl Lemma : eclass-compose3_wf

[Info,A,B,C,D:Type]. ∀[f:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(C)].
  (eclass-compose3(f;X;Y;Z) ∈ EClass(D))


Proof




Definitions occuring in Statement :  eclass-compose3: eclass-compose3(f;X;Y;Z) eclass: EClass(A[eo; e]) uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] universe: Type bag: bag(T)
Lemmas :  es-E_wf event-ordering+_subtype event-ordering+_wf bag_wf
\mforall{}[Info,A,B,C,D:Type].  \mforall{}[f:bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(D)].  \mforall{}[X:EClass(A)].  \mforall{}[Y:EClass(B)].
\mforall{}[Z:EClass(C)].
    (eclass-compose3(f;X;Y;Z)  \mmember{}  EClass(D))



Date html generated: 2015_07_17-PM-00_42_03
Last ObjectModification: 2015_01_27-PM-11_08_45

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