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Step * of Lemma filter_append

∀[T:Type]. ∀[P:T ⟶ 𝔹]. ∀[l1,l2:T List].  (filter(P;l1 @ l2) ~ filter(P;l1) @ filter(P;l2))
BY
{ (InductionOnList THEN Auto) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[P:T  {}\mrightarrow{}  \mBbbB{}].  \mforall{}[l1,l2:T  List].    (filter(P;l1  @  l2)  \msim{}  filter(P;l1)  @  filter(P;l2))


By

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Latex:
(InductionOnList  THEN  Auto)

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