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Step * of Lemma decidable__upwd-closure

∀[T:Type]. ∀[A:(T List) ⟶ ℙ].  (Decidable(A) ⇒ (∀as:T List. Dec(upwd-closure(T;A) as)))
BY
{ ((RepUR ``dec-predicate upwd-closure`` 0 THEN Reduce 0) THEN Auto) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[A:(T  List)  {}\mrightarrow{}  \mBbbP{}].    (Decidable(A)  {}\mRightarrow{}  (\mforall{}as:T  List.  Dec(upwd-closure(T;A)  as)))


By

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Latex:
((RepUR  ``dec-predicate  upwd-closure``  0  THEN  Reduce  0)  THEN  Auto)

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