Nuprl Lemma : eclass1-program_wf

[Info,B,C:Type].
  ∀[X:EClass(B)]. ∀[f:Id ─→ B ─→ C]. ∀[pr:LocalClass(X)].  (eclass1-program(f;pr) ∈ LocalClass((f X))) 
  supposing valueall-type(C)


Proof




Definitions occuring in Statement :  eclass1-program: eclass1-program(f;pr) eclass1: (f X) local-class: LocalClass(X) eclass: EClass(A[eo; e]) 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
Lemmas :  hdf-compose1_wf es-E_wf event-ordering+_subtype all_wf equal_wf bag_wf class-ap_wf eclass1_wf hdf-ap_wf iterate-hdataflow_wf es-loc_wf map_wf es-info_wf es-before_wf hdataflow_wf local-class_wf Id_wf eclass_wf event-ordering+_wf valueall-type_wf bag-map_wf squash_wf true_wf iff_weakening_equal list_wf list_induction hdataflow-ext unit_wf2 iter_hdf_nil_lemma valueall-type-has-valueall bag-valueall-type evalall-reduce bag_map_empty_lemma empty-bag_wf iter_hdf_cons_lemma subtype_rel_list top_wf iterate-hdf-halt

Latex:
\mforall{}[Info,B,C:Type].
    \mforall{}[X:EClass(B)].  \mforall{}[f:Id  {}\mrightarrow{}  B  {}\mrightarrow{}  C].  \mforall{}[pr:LocalClass(X)].
        (eclass1-program(f;pr)  \mmember{}  LocalClass((f  o  X))) 
    supposing  valueall-type(C)



Date html generated: 2015_07_22-PM-00_01_43
Last ObjectModification: 2015_02_04-PM-05_12_29

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