This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem simp13r

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

		Ref	Expression
	Assertion	simp13r	$⊢ ((χ \land θ \land (φ \land ψ)) \land τ \land η) \to ψ$

Step	Hyp	Ref	Expression
1		simp3r	$⊢ (χ \land θ \land (φ \land ψ)) \to ψ$
2	1	3ad2ant1	$⊢ ((χ \land θ \land (φ \land ψ)) \land τ \land η) \to ψ$