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Step * of Lemma first_index_wf

∀[T:Type]. ∀[L:T List]. ∀[P:T ⟶ 𝔹].  (index-of-first x in L.P[x] ∈ ℕ)
BY
{ (Unfold `first_index` 0 THEN Auto') }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[L:T  List].  \mforall{}[P:T  {}\mrightarrow{}  \mBbbB{}].    (index-of-first  x  in  L.P[x]  \mmember{}  \mBbbN{})


By

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Latex:
(Unfold  `first\_index`  0  THEN  Auto')

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