Theorem simpli

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

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

Proof

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