Nuprl Lemma : simple-loc-comb1_wf

∀[Info,A,B:Type]. ∀[F:Id ─→ bag(A) ─→ bag(B)]. ∀[X:EClass(A)].  (simple-loc-comb1(l,w.F[l;w];X) ∈ EClass(B))


Proof




Definitions occuring in Statement :  simple-loc-comb1: simple-loc-comb1(l,b.F[l; b];X),  eclass: EClass(A[eo; e]),  Id: Id,  uall: ∀[x:A]. B[x],  so_apply: x[s1;s2],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type,  bag: bag(T)
Lemmas :  simple-loc-comb_wf,  false_wf,  le_wf,  int_seg_wf,  select_wf,  cons_wf,  nil_wf,  sq_stable__le,  length_wf,  length_nil,  non_neg_length,  length_wf_nil,  length_cons,  length_wf_nat,  lelt_wf,  bag_wf,  eclass_wf,  es-E_wf,  event-ordering+_subtype,  event-ordering+_wf,  Id_wf

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[F:Id  {}\mrightarrow{}  bag(A)  {}\mrightarrow{}  bag(B)].  \mforall{}[X:EClass(A)].
    (simple-loc-comb1(l,w.F[l;w];X)  \mmember{}  EClass(B))



Date html generated: 2015_07_21-PM-02_57_26
Last ObjectModification: 2015_01_27-PM-07_27_50

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