Nuprl Lemma : return-loc-bag-class-program_wf

[Info,B:Type]. ∀[x:Id ─→ bag(B)].
  return-loc-bag-class-program(x) ∈ LocalClass(return-loc-bag-class(x)) supposing valueall-type(B)


Proof




Definitions occuring in Statement :  return-loc-bag-class-program: return-loc-bag-class-program(x) return-loc-bag-class: return-loc-bag-class(x) local-class: LocalClass(X) Id: Id valueall-type: valueall-type(T) uimplies: supposing a uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] universe: Type bag: bag(T)
Lemmas :  hdf-run_wf hdf-halt_wf es-first_wf2 bool_wf eqtt_to_assert map_nil_lemma iter_hdf_nil_lemma es-loc_wf eqff_to_assert equal_wf bool_cases_sqequal subtype_base_sq bool_subtype_base assert-bnot map_wf es-info_wf append_wf es-before_wf es-pred_wf cons_wf nil_wf list_wf map_append_sq map_cons_lemma length_wf length_nil non_neg_length length_wf_nil length_wf_nat map_length length_cons length_append subtype_rel_list top_wf less_than_wf list-cases length_of_nil_lemma product_subtype_list length_of_cons_lemma iter_hdf_cons_lemma iterate-hdf-halt empty-bag_wf es-E_wf event-ordering+_subtype event-ordering+_wf all_wf bag_wf class-ap_wf return-loc-bag-class_wf hdf-ap_wf iterate-hdataflow_wf hdataflow_wf valueall-type_wf Id_wf

Latex:
\mforall{}[Info,B:Type].  \mforall{}[x:Id  {}\mrightarrow{}  bag(B)].
    return-loc-bag-class-program(x)  \mmember{}  LocalClass(return-loc-bag-class(x))  supposing  valueall-type(B)



Date html generated: 2015_07_22-PM-00_04_06
Last ObjectModification: 2015_01_28-AM-09_52_51

Home Index