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

Metamath Proof Explorer

Theorem simp1lr

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

		Ref	Expression
	Assertion	simp1lr	$⊢ (((φ \land ψ) \land χ) \land θ \land τ) \to ψ$

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