Nuprl Lemma : simple-comb-1-single-val

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


Proof




Definitions occuring in Statement :  simple-comb-1: F|X|,  single-valued-classrel: single-valued-classrel(es;X;T),  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 :  simple-comb-1-classrel,  and_wf,  equal_wf,  classrel_wf,  simple-comb-1_wf,  lifting-1_wf,  es-E_wf,  event-ordering+_subtype,  single-valued-classrel_wf,  eclass_wf,  event-ordering+_wf

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



Date html generated: 2015_07_22-PM-00_16_11
Last ObjectModification: 2015_01_28-AM-10_43_36

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