Metamath Proof Explorer


Theorem bj-peircei

Description: Inference associated with peirce . (Contributed by BJ, 30-Mar-2020)

Ref Expression
Hypothesis bj-peircei.1 ⊢ φ → ψ → φ
Assertion bj-peircei ⊢ φ

Proof

Step Hyp Ref Expression
1 bj-peircei.1 ⊢ φ → ψ → φ
2 peirce ⊢ φ → ψ → φ → φ
3 1 2 ax-mp ⊢ φ