Nuprl Lemma : rec-combined-class-2_wf

∀[Info,A,B,C:Type]. ∀[F:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(C)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
  (F|X, Y, Prior(self)| ∈ EClass(C))


Proof




Definitions occuring in Statement :  rec-combined-class-2: F|X, Y, Prior(self)|,  eclass: EClass(A[eo; e]),  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type,  bag: bag(T)
Lemmas :  rec-combined-class_wf,  select_wf,  cons_wf,  nil_wf,  length_wf,  length_nil,  non_neg_length,  length_wf_nil,  length_cons,  length_wf_nat,  int_seg_wf,  decidable__equal_int,  subtype_base_sq,  int_subtype_base,  es-interface-subtype_rel2,  es-E_wf,  event-ordering+_subtype,  bag_wf,  false_wf,  eclass_wf,  event-ordering+_wf

Latex:
\mforall{}[Info,A,B,C:Type].  \mforall{}[F:bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(C)].  \mforall{}[X:EClass(A)].  \mforall{}[Y:EClass(B)].
    (F|X,  Y,  Prior(self)|  \mmember{}  EClass(C))



Date html generated: 2015_07_21-PM-02_53_10
Last ObjectModification: 2015_01_27-PM-07_34_44

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