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Step * of Lemma consensus-rel-add-knowledge-step_wf

∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)}  List List]. ∀[x1,y1:ConsensusState]. ∀[x2,y2:Knowledge(ConsensusState)].
∀[a:{a:Id| (a ∈ A)} ].
  (consensus-rel-add-knowledge-step(V;A;W;x1;x2;y1;y2;a) ∈ ℙ)
BY
{ (Auto
   THEN RepUR ``consensus-rel-add-knowledge-step`` 0
   THEN RepeatFor 2 (Auto)
   THEN Try ((DVar `v' THEN AutoSimpHyp Auto  (-1) THEN Reduce 0 THEN Auto'))) }

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Latex:


\mforall{}[V:Type].  \mforall{}[A:Id  List].  \mforall{}[W:\{a:Id|  (a  \mmember{}  A)\}    List  List].  \mforall{}[x1,y1:ConsensusState].
\mforall{}[x2,y2:Knowledge(ConsensusState)].  \mforall{}[a:\{a:Id|  (a  \mmember{}  A)\}  ].
    (consensus-rel-add-knowledge-step(V;A;W;x1;x2;y1;y2;a)  \mmember{}  \mBbbP{})


By

(Auto
  THEN  RepUR  ``consensus-rel-add-knowledge-step``  0
  THEN  RepeatFor  2  (Auto)
  THEN  Try  ((DVar  `v'  THEN  AutoSimpHyp  Auto    (-1)  THEN  Reduce  0  THEN  Auto')))

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