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Step * 1 of Lemma l_exists_reduce


1. [T] : Type
⊢ ∀P:T ⟶ 𝔹. ((∃x∈[]. ↑P[x]) ⇐⇒ False)
BY
{ TACTIC:((RepUR ``l_exists`` 0 THEN Auto) THEN ExRepD THEN Auto) }

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Latex:

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Latex:

1.  [T]  :  Type
\mvdash{}  \mforall{}P:T  {}\mrightarrow{}  \mBbbB{}.  ((\mexists{}x\mmember{}[].  \muparrow{}P[x])  \mLeftarrow{}{}\mRightarrow{}  False)


By

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Latex:
TACTIC:((RepUR  ``l\_exists``  0  THEN  Auto)  THEN  ExRepD  THEN  Auto)

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