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Step * 2 of Lemma three-cs-no-repeated-votes


1. V : Type@i'
2. A : Id List@i
3. t : ℕ+@i
4. f : (V List) ─→ V@i
⊢ ∀a:{a:Id| (a ∈ A)} . no_repeats(consensus-rcv(V;A);filter(λx.rcv-vote?(x);ts-init(three-consensus-ts(V;A;t;f)) a))
BY
{ (RepUR ``ts-init three-consensus-ts`` 0 THEN Auto) }

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Latex:



1.  V  :  Type@i'
2.  A  :  Id  List@i
3.  t  :  \mBbbN{}\msupplus{}@i
4.  f  :  (V  List)  {}\mrightarrow{}  V@i
\mvdash{}  \mforall{}a:\{a:Id|  (a  \mmember{}  A)\} 
        no\_repeats(consensus-rcv(V;A);filter(\mlambda{}x.rcv-vote?(x);ts-init(three-consensus-ts(V;A;t;f))  a))


By

(RepUR  ``ts-init  three-consensus-ts``  0  THEN  Auto)

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