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	$$⊢\phi$$
Assertion	bj-poni	$$⊢\left(\phi \to \psi \right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		bj-poni.1	$$⊢\phi$$
2		pm2.27	$$⊢\phi \to \left(\left(\phi \to \psi \right)\to \psi \right)$$
3	1 2	ax-mp	$$⊢\left(\phi \to \psi \right)\to \psi$$