Metamath Proof Explorer


Theorem bj-con2comi

Description: Inference associated with bj-con2com . Its associated inference is mt2 . TODO: when in the main part, add to mt2 that it is the inference associated with bj-con2comi . (Contributed by BJ, 19-Mar-2020)

Ref Expression
Hypothesis bj-con2comi.1 𝜑
Assertion bj-con2comi ( ( 𝜓 → ¬ 𝜑 ) → ¬ 𝜓 )

Proof

Step Hyp Ref Expression
1 bj-con2comi.1 𝜑
2 bj-con2com ( 𝜑 → ( ( 𝜓 → ¬ 𝜑 ) → ¬ 𝜓 ) )
3 1 2 ax-mp ( ( 𝜓 → ¬ 𝜑 ) → ¬ 𝜓 )