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Step * 1 of Lemma no-uniform-Peirce's-law


1. ∀[P,B:ℙ].  (P ∨ (P ⇒ B))
⊢ False
BY
{ (InstLemma `no-uniform-xmiddle` [] THEN D -1 THEN Auto) }

1
1. ∀[P,B:ℙ].  (P ∨ (P ⇒ B))
2. [P] : ℙ
⊢ P ∨ (¬P)

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Latex:

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Latex:

1.  \mforall{}[P,B:\mBbbP{}].    (P  \mvee{}  (P  {}\mRightarrow{}  B))
\mvdash{}  False


By

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Latex:
(InstLemma  `no-uniform-xmiddle`  []  THEN  D  -1  THEN  Auto)

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