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Step * of Lemma map-wf2

∀[A,B:Type]. ∀[L:A List]. ∀[f:{x:A| (x ∈ L)}  ⟶ B].  (map(f;L) ∈ B List)
BY
{ (InductionOnList THEN Reduce 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[A,B:Type].  \mforall{}[L:A  List].  \mforall{}[f:\{x:A|  (x  \mmember{}  L)\}    {}\mrightarrow{}  B].    (map(f;L)  \mmember{}  B  List)


By

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Latex:
(InductionOnList  THEN  Reduce  0  THEN  Auto)

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