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Metamath Proof Explorer

Theorem simplrl

Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009)

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

Step	Hyp	Ref	Expression
1		simpl	$⊢ (ψ \land χ) \to ψ$
2	1	ad2antlr	$⊢ ((φ \land (ψ \land χ)) \land θ) \to ψ$