Metamath Proof Explorer


Theorem exmidd

Description: Law of excluded middle in a context. (Contributed by Mario Carneiro, 9-Feb-2017)

Ref Expression
Assertion exmidd ⊢ φ → ψ ∨ ¬ ψ

Proof

Step Hyp Ref Expression
1 exmid ⊢ ψ ∨ ¬ ψ
2 1 a1i ⊢ φ → ψ ∨ ¬ ψ