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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