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Step * of Lemma map-member-wf

∀[A,B:Type]. ∀[L:A List]. ∀[f:{a:A| (a ∈ L)}  ⟶ B].  (map(f;L) ∈ B List)
BY
{ ((UnivCD THENA Auto) THEN InstLemma `list-subtype` [⌜A⌝;⌜L⌝]⋅ THEN Auto) }

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Latex:

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


By

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Latex:
((UnivCD  THENA  Auto)  THEN  InstLemma  `list-subtype`  [\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}L\mkleeneclose{}]\mcdot{}  THEN  Auto)

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