Nuprl Lemma : on-loc-class-program-eq-hdf

∀[Info,B:Type]. ∀[pr1,pr2:Id ─→ Id ─→ hdataflow(Info;B)].
  (on-loc-class-program(pr1) = on-loc-class-program(pr2) ∈ (Id ─→ hdataflow(Info;B))) supposing 
     ((pr1 = pr2 ∈ (Id ─→ Id ─→ hdataflow(Info;B))) and 
     valueall-type(B))


Proof




Definitions occuring in Statement :  on-loc-class-program: on-loc-class-program(pr),  Id: Id,  valueall-type: valueall-type(T),  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  function: x:A ─→ B[x],  universe: Type,  equal: s = t ∈ T,  hdataflow: hdataflow(A;B)
Lemmas :  and_wf,  equal_wf,  Id_wf,  hdataflow_wf,  valueall-type_wf

Latex:
\mforall{}[Info,B:Type].  \mforall{}[pr1,pr2:Id  {}\mrightarrow{}  Id  {}\mrightarrow{}  hdataflow(Info;B)].
    (on-loc-class-program(pr1)  =  on-loc-class-program(pr2))  supposing 
          ((pr1  =  pr2)  and 
          valueall-type(B))



Date html generated: 2015_07_22-PM-00_04_04
Last ObjectModification: 2015_01_28-AM-09_53_25

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