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Step * of Lemma three-consensus-ref-map_wf

∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ+]. ∀[f:(V List) ─→ V]. ∀[v0:V]. ∀[W:{a:Id| (a ∈ A)}  List List].
  (three-consensus-ref-map(v0;t;f) ∈ ts-type(three-consensus-ts(V;A;t;f)) ─→ ts-type(consensus-ts6(V;A;W)))
BY
{ (Auto
   THEN RepUR ``three-consensus-ref-map ts-type three-consensus-ts`` 0
   THEN RepUR ``consensus-ts6 consensus-state6`` 0
   THEN Auto) }

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Latex:


\mforall{}[V:Type].  \mforall{}[A:Id  List].  \mforall{}[t:\mBbbN{}\msupplus{}].  \mforall{}[f:(V  List)  {}\mrightarrow{}  V].  \mforall{}[v0:V].  \mforall{}[W:\{a:Id|  (a  \mmember{}  A)\}    List  List].
    (three-consensus-ref-map(v0;t;f)  \mmember{}  ts-type(three-consensus-ts(V;A;t;f))
      {}\mrightarrow{}  ts-type(consensus-ts6(V;A;W)))


By

(Auto
  THEN  RepUR  ``three-consensus-ref-map  ts-type  three-consensus-ts``  0
  THEN  RepUR  ``consensus-ts6  consensus-state6``  0
  THEN  Auto)

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