Metamath Proof Explorer


Theorem con1bii2

Description: A contraposition inference. (Contributed by ML, 18-Oct-2020)

Ref Expression
Hypothesis con1bii2.1 ( ¬ 𝜑𝜓 )
Assertion con1bii2 ( 𝜑 ↔ ¬ 𝜓 )

Proof

Step Hyp Ref Expression
1 con1bii2.1 ( ¬ 𝜑𝜓 )
2 1 con1bii ( ¬ 𝜓𝜑 )
3 2 bicomi ( 𝜑 ↔ ¬ 𝜓 )