Nuprl Lemma : on-loc-class-program_wf

[Info,B:Type]. ∀[X:Id ─→ EClass(B)]. ∀[pr:∀i:Id. LocalClass(X i)].
  on-loc-class-program(pr) ∈ LocalClass(on-loc-class(X)) supposing valueall-type(B)


Proof




Definitions occuring in Statement :  on-loc-class-program: on-loc-class-program(pr) on-loc-class: on-loc-class(X) local-class: LocalClass(X) eclass: EClass(A[eo; e]) Id: Id valueall-type: valueall-type(T) uimplies: supposing a uall: [x:A]. B[x] all: x:A. B[x] member: t ∈ T apply: a function: x:A ─→ B[x] universe: Type
Lemmas :  local-class_wf es-loc_wf set_wf hdataflow_wf all_wf es-E_wf event-ordering+_subtype equal_wf bag_wf class-ap_wf hdf-ap_wf iterate-hdataflow_wf map_wf es-info_wf es-before_wf on-loc-class_wf iff_weakening_equal eclass_wf event-ordering+_wf valueall-type_wf Id_wf

Latex:
\mforall{}[Info,B:Type].  \mforall{}[X:Id  {}\mrightarrow{}  EClass(B)].  \mforall{}[pr:\mforall{}i:Id.  LocalClass(X  i)].
    on-loc-class-program(pr)  \mmember{}  LocalClass(on-loc-class(X))  supposing  valueall-type(B)



Date html generated: 2015_07_22-PM-00_04_02
Last ObjectModification: 2015_02_04-PM-05_09_34

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