Metamath Proof Explorer


Theorem con4

Description: Alias for ax-3 to be used instead of it for labeling consistency. Its associated inference is con4i and its associated deduction is con4d . (Contributed by BJ, 24-Dec-2020)

Ref Expression
Assertion con4 ( ( ¬ 𝜑 → ¬ 𝜓 ) → ( 𝜓𝜑 ) )

Proof

Step Hyp Ref Expression
1 ax-3 ( ( ¬ 𝜑 → ¬ 𝜓 ) → ( 𝜓𝜑 ) )