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 not projected




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)
Definitions :  single-valued-classrel: single-valued-classrel(es;X;T),  all: x:A. B[x],  implies: P  Q,  member: t  T,  so_lambda: x y.t[x; y],  and: P  Q,  squash: T,  true: True,  uimplies: b supposing a,  exists: x:A. B[x],  uiff: uiff(P;Q),  uall: [x:A]. B[x],  prop: ,  so_apply: x[s1;s2],  subtype: S  T
Lemmas :  simple-comb-1-classrel,  classrel_wf,  simple-comb-1_wf,  lifting-1_wf,  es-E_wf,  event-ordering+_inc,  single-valued-classrel_wf,  eclass_wf,  event-ordering+_wf,  and_wf,  equal_wf,  squash_wf,  true_wf

\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: 2012_01_23-PM-01_17_11
Last ObjectModification: 2012_01_11-PM-06_30_55

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