Theorem simpri

Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994)

	Ref	Expression
Hypothesis	simpri.1	$$⊢\left(\phi \wedge \psi \right)$$
Assertion	simpri	$$⊢\psi$$

Proof

Step	Hyp	Ref	Expression
1		simpri.1	$$⊢\left(\phi \wedge \psi \right)$$
2		simpr	$$⊢\left(\phi \wedge \psi \right)\to \psi$$
3	1 2	ax-mp	$$⊢\psi$$