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Step * of Lemma mu-property

∀[f:ℕ ⟶ 𝔹]. {(↑(f mu(f))) ∧ (∀[i:ℕ]. ¬↑(f i) supposing i < mu(f))} supposing ∃n:ℕ. (↑(f n))
BY
{ ((InstLemma `mu-ge-property` [⌜0⌝]⋅ THENA Auto)
   THEN ParallelLast
   THEN Fold `mu` (-1)
   THEN RepeatFor 3 (ParallelLast)
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[f:\mBbbN{}  {}\mrightarrow{}  \mBbbB{}].  \{(\muparrow{}(f  mu(f)))  \mwedge{}  (\mforall{}[i:\mBbbN{}].  \mneg{}\muparrow{}(f  i)  supposing  i  <  mu(f))\}  supposing  \mexists{}n:\mBbbN{}.  (\muparrow{}(f  n))


By

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Latex:
((InstLemma  `mu-ge-property`  [\mkleeneopen{}0\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  ParallelLast
  THEN  Fold  `mu`  (-1)
  THEN  RepeatFor  3  (ParallelLast)
  THEN  Auto)

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