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

Metamath Proof Explorer

Theorem simp22l

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

		Ref	Expression
	Assertion	simp22l	$⊢ (τ \land (χ \land (φ \land ψ) \land θ) \land η) \to φ$

Step	Hyp	Ref	Expression
1		simp2l	$⊢ (χ \land (φ \land ψ) \land θ) \to φ$
2	1	3ad2ant2	$⊢ (τ \land (χ \land (φ \land ψ) \land θ) \land η) \to φ$