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

Home Index