Nuprl Lemma : simple-comb-1-es-sv

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[F:A ─→ B]. ∀[X:EClass(A)].
  es-sv-class(es;lifting-1(F)|X|) supposing es-sv-class(es;X)


Proof




Definitions occuring in Statement :  simple-comb-1: F|X|,  es-sv-class: es-sv-class(es;X),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  function: x:A ─→ B[x],  universe: Type,  lifting-1: lifting-1(f)
Lemmas :  bag-size_wf,  nat_wf,  es-E_wf,  event-ordering+_subtype,  less_than_wf,  simple-comb-1_wf,  lifting-1_wf,  eclass_wf,  event-ordering+_wf,  es-sv-class_wf,  bag-size-zero,  le_weakening,  bag_combine_empty_lemma,  bag_size_empty_lemma,  false_wf,  bag-size-one,  bag-combine-single-left,  single-bag_wf,  bag-only_wf2,  single-valued-bag-if-le1,  decidable__lt,  le_antisymmetry_iff,  add_functionality_wrt_le,  add-zero,  le-add-cancel,  bag_size_single_lemma

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A,B:Type].  \mforall{}[F:A  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    es-sv-class(es;lifting-1(F)|X|)  supposing  es-sv-class(es;X)



Date html generated: 2015_07_22-PM-00_16_14
Last ObjectModification: 2015_01_28-AM-10_43_51

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