Step
*
of Lemma
set-axiom-of-choice-is-false
¬Set-AC
BY
{ ((D 0 THENA Auto) THEN (InstLemma `set-axiom-of-choice-implies-xmiddle` [] THENA Auto)) }
1
1. Set-AC
2. ∀P:ℙ. ((↓P) ∨ (¬P))
⊢ False
Latex:
Latex:
\mneg{}Set-AC
By
Latex:
((D  0  THENA  Auto)  THEN  (InstLemma  `set-axiom-of-choice-implies-xmiddle`  []  THENA  Auto))
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