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Theorem ifpbiidcor2 40775
Description: Restatement of biid 264. (Contributed by RP, 25-Apr-2020.)
Assertion
Ref Expression
ifpbiidcor2 ¬ if-(𝜑, ¬ 𝜑, 𝜑)

Proof of Theorem ifpbiidcor2
StepHypRef Expression
1 ifpbiidcor 40766 . 2 if-(𝜑, 𝜑, ¬ 𝜑)
2 ifpnot23b 40774 . 2 (¬ if-(𝜑, ¬ 𝜑, 𝜑) ↔ if-(𝜑, 𝜑, ¬ 𝜑))
31, 2mpbir 234 1 ¬ if-(𝜑, ¬ 𝜑, 𝜑)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  if-wif 1063
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 210  df-an 400  df-or 848  df-ifp 1064
This theorem is referenced by: (None)
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