Theorem bj-poni

Description: Inference associated with "pon", pm2.27 . Its associated inference is ax-mp . (Contributed by BJ, 30-Jul-2024)

	Ref	Expression
Hypothesis	bj-poni.1	⊢ 𝜑
Assertion	bj-poni	⊢ ( ( 𝜑 → 𝜓 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		bj-poni.1	⊢ 𝜑
2		pm2.27	⊢ ( 𝜑 → ( ( 𝜑 → 𝜓 ) → 𝜓 ) )
3	1 2	ax-mp	⊢ ( ( 𝜑 → 𝜓 ) → 𝜓 )