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Step * 1 of Lemma l_all_reduce


1. T : Type
⊢ ∀[P:T ⟶ 𝔹]. uiff((∀x∈[].↑P[x]);True)
BY
{ (RepUR ``l_all`` 0 THEN Auto) }

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Latex:

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Latex:

1.  T  :  Type
\mvdash{}  \mforall{}[P:T  {}\mrightarrow{}  \mBbbB{}].  uiff((\mforall{}x\mmember{}[].\muparrow{}P[x]);True)


By

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Latex:
(RepUR  ``l\_all``  0  THEN  Auto)

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