Nuprl Lemma : rec-combined-class-1_wf

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


Proof




Definitions occuring in Statement :  rec-combined-class-1: F|X,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 false_wf le_wf int_seg_wf select_wf cons_wf nil_wf length_wf length_nil non_neg_length length_wf_nil length_cons length_wf_nat bag_wf eclass_wf es-E_wf event-ordering+_subtype event-ordering+_wf

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



Date html generated: 2015_07_21-PM-02_52_52
Last ObjectModification: 2015_01_27-PM-07_29_57

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