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