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Step * 1 of Lemma set-axiom-of-choice-is-false


1. Set-AC
2. ∀P:ℙ. ((↓P) ∨ (¬P))
⊢ False
BY
{ InstLemma `no-excluded-middle-using-partial2` [] }

1
1. Set-AC
2. ∀P:ℙ. ((↓P) ∨ (¬P))
3. ¬(∀P:ℙ. ((↓P) ∨ (¬P)))
⊢ False

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Latex:

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Latex:

1.  Set-AC
2.  \mforall{}P:\mBbbP{}.  ((\mdownarrow{}P)  \mvee{}  (\mneg{}P))
\mvdash{}  False


By

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Latex:
InstLemma  `no-excluded-middle-using-partial2`  []

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