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Theorem exmidd 892
Description: Law of excluded middle in a context. (Contributed by Mario Carneiro, 9-Feb-2017.)
Assertion
Ref Expression
exmidd (𝜑 → (𝜓 ∨ ¬ 𝜓))

Proof of Theorem exmidd
StepHypRef Expression
1 exmid 891 . 2 (𝜓 ∨ ¬ 𝜓)
21a1i 11 1 (𝜑 → (𝜓 ∨ ¬ 𝜓))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wo 843
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 209  df-or 844
This theorem is referenced by:  rabxm  4316  zeo3  15666  hashxpe  30516  tlt2  30638  fsumcvg4  31201  chtvalz  31908  tsor1  35461  ts3or1  35467
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