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Step * of Lemma set-valueall-type

∀[A:Type]. ∀[P:A ⟶ ℙ].  valueall-type({a:A| P[a]} ) supposing valueall-type(A)
BY
{ (Auto THEN Using [`B',⌜A⌝] (BLemma `subtype-valueall-type`)⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}[A:Type].  \mforall{}[P:A  {}\mrightarrow{}  \mBbbP{}].    valueall-type(\{a:A|  P[a]\}  )  supposing  valueall-type(A)


By

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Latex:
(Auto  THEN  Using  [`B',\mkleeneopen{}A\mkleeneclose{}]  (BLemma  `subtype-valueall-type`)\mcdot{}  THEN  Auto)

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