Metamath Proof Explorer


Theorem bj-pm2.01i

Description: Inference associated with the weak Clavius law pm2.01 . (Contributed by BJ, 30-Mar-2020)

Ref Expression
Hypothesis bj-pm2.01i.1 ( 𝜑 → ¬ 𝜑 )
Assertion bj-pm2.01i ¬ 𝜑

Proof

Step Hyp Ref Expression
1 bj-pm2.01i.1 ( 𝜑 → ¬ 𝜑 )
2 pm2.01 ( ( 𝜑 → ¬ 𝜑 ) → ¬ 𝜑 )
3 1 2 ax-mp ¬ 𝜑