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Metamath Proof Explorer

Theorem simprl

Description: Simplification of a conjunction. (Contributed by NM, 21-Mar-2007)

		Ref	Expression
	Assertion	simprl	$⊢ (φ \land (ψ \land χ)) \to ψ$

Step	Hyp	Ref	Expression
1		id	$⊢ ψ \to ψ$
2	1	ad2antrl	$⊢ (φ \land (ψ \land χ)) \to ψ$