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Step * of Lemma apply-bar

∀[A:Type]. ∀[B:A ⟶ Type]. ∀[f:partial(a:A ⟶ B[a])]. ∀[a:A].  f a ∈ partial(B[a]) supposing value-type(B[a])
BY
{ (Auto THEN BLemma `apply-partial` THEN Auto) }

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Latex:

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Latex:
\mforall{}[A:Type].  \mforall{}[B:A  {}\mrightarrow{}  Type].  \mforall{}[f:partial(a:A  {}\mrightarrow{}  B[a])].  \mforall{}[a:A].
    f  a  \mmember{}  partial(B[a])  supposing  value-type(B[a])


By

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Latex:
(Auto  THEN  BLemma  `apply-partial`  THEN  Auto)

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