Metamath Proof Explorer


Theorem conax1

Description: Contrapositive of ax-1 . (Contributed by BJ, 28-Oct-2023)

Ref Expression
Assertion conax1 ⊢ ¬ φ → ψ → ¬ ψ

Proof

Step Hyp Ref Expression
1 ax-1 ⊢ ψ → φ → ψ
2 1 con3i ⊢ ¬ φ → ψ → ¬ ψ