Theorem exmidd 432

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

Step	Hyp	Ref	Expression
1		exmid 431	. 2 ⊢ (𝜓 ∨ ¬ 𝜓)
2	1	a1i 11	1 ⊢ (𝜑 → (𝜓 ∨ ¬ 𝜓))

Syntax hints:  ¬ wn 3   → wi 4   ∨ wo 383

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 197  df-or 385

This theorem is referenced by:  rabxm  3961  zeo3  15061  tlt2  29664  fsumcvg4  29996  chtvalz  30707  tsor1  33954  ts3or1  33960