Theorem simpll

Description: Simplification of a conjunction. (Contributed by NM, 18-Mar-2007)

	Ref	Expression
Assertion	simpll	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \phi$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢\phi \to \phi$$
2	1	ad2antrr	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \phi$$