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Step * of Lemma b-exists-bfalse

∀[n:ℕ]. ((∃x<n.ff)_b ~ ff)
BY
{ (Unfold `b-exists` 0 THEN InductionOnNat THEN All Reduce THEN Try (RWO "primrec-unroll" 0) THEN Auto) }

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Latex:

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Latex:
\mforall{}[n:\mBbbN{}].  ((\mexists{}x<n.ff)\_b  \msim{}  ff)


By

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Latex:
(Unfold  `b-exists`  0
  THEN  InductionOnNat
  THEN  All  Reduce
  THEN  Try  (RWO  "primrec-unroll"  0)
  THEN  Auto)

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