Metamath Proof Explorer


Theorem con1bii2

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

Ref Expression
Hypothesis con1bii2.1 ⊢ ¬ φ ↔ ψ
Assertion con1bii2 ⊢ φ ↔ ¬ ψ

Proof

Step Hyp Ref Expression
1 con1bii2.1 ⊢ ¬ φ ↔ ψ
2 1 con1bii ⊢ ¬ ψ ↔ φ
3 2 bicomi ⊢ φ ↔ ¬ ψ