Metamath Proof Explorer


Theorem con2bii2

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

Ref Expression
Hypothesis con2bii2.1 ⊢ φ ↔ ¬ ψ
Assertion con2bii2 ⊢ ¬ φ ↔ ψ

Proof

Step Hyp Ref Expression
1 con2bii2.1 ⊢ φ ↔ ¬ ψ
2 1 con2bii ⊢ ψ ↔ ¬ φ
3 2 bicomi ⊢ ¬ φ ↔ ψ