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


1. ∀[P,B:ℙ].  (P ∨ (P ⇒ B))
2. [P] : ℙ
⊢ P ∨ (¬P)
BY
{ (InstHyp [⌜P⌝;⌜False⌝] 1⋅ THEN Auto) }

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Latex:

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Latex:

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


By

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Latex:
(InstHyp  [\mkleeneopen{}P\mkleeneclose{};\mkleeneopen{}False\mkleeneclose{}]  1\mcdot{}  THEN  Auto)

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