Nuprl Lemma : loop-class2_local

[Info,B:Type]. ∀[X:EClass(B ─→ B)].
  ∀init:Id ─→ bag(B). LocalClass(X)  LocalClass(loop-class2(X;init)) supposing valueall-type(B)


Proof




Definitions occuring in Statement :  loop-class2: loop-class2(X;init) 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] implies:  Q function: x:A ─→ B[x] universe: Type bag: bag(T)
Lemmas :  equal-wf-base base_wf loop-class2-program_wf local-class_wf valueall-type_wf Id_wf bag_wf eclass_wf es-E_wf event-ordering+_subtype event-ordering+_wf

Latex:
\mforall{}[Info,B:Type].  \mforall{}[X:EClass(B  {}\mrightarrow{}  B)].
    \mforall{}init:Id  {}\mrightarrow{}  bag(B).  LocalClass(X)  {}\mRightarrow{}  LocalClass(loop-class2(X;init))  supposing  valueall-type(B)



Date html generated: 2015_07_22-PM-00_02_34
Last ObjectModification: 2015_01_28-AM-09_53_15

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