{ [Info,B,C:Type]. [f:Id  B  C]. [X:EClass(B)]. [es:EO+(Info)]. [e:E].
  [v:C].
    uiff(v  simple-loc-comb-1(lifting-loc-1(f);X)(e);b:B
                                                        (b  X(e)
                                                         (v = (f loc(e) b)))) }

{ Proof }



Definitions occuring in Statement :  lifting-loc-1: lifting-loc-1(f),  simple-loc-comb-1: simple-loc-comb-1(F;X),  classrel: v  X(e),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  es-loc: loc(e),  es-E: E,  Id: Id,  uiff: uiff(P;Q),  uall: [x:A]. B[x],  exists: x:A. B[x],  squash: T,  and: P  Q,  apply: f a,  function: x:A  B[x],  universe: Type,  equal: s = t
Lemmas :  eclass_wf,  es-E_wf,  event-ordering+_inc,  event-ordering+_wf,  Id_wf,  simple-loc-comb1-classrel

\mforall{}[Info,B,C:Type].  \mforall{}[f:Id  {}\mrightarrow{}  B  {}\mrightarrow{}  C].  \mforall{}[X:EClass(B)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[v:C].
    uiff(v  \mmember{}  simple-loc-comb-1(lifting-loc-1(f);X)(e);\mdownarrow{}\mexists{}b:B.  (b  \mmember{}  X(e)  \mwedge{}  (v  =  (f  loc(e)  b))))


Date html generated: 2011_08_17-PM-06_18_10
Last ObjectModification: 2011_08_01-PM-02_29_35

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