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Metamath Proof Explorer

Theorem simp1r1

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

		Ref	Expression
	Assertion	simp1r1	$⊢ ((θ \land (φ \land ψ \land χ)) \land τ \land η) \to φ$

Step	Hyp	Ref	Expression
1		simpr1	$⊢ (θ \land (φ \land ψ \land χ)) \to φ$
2	1	3ad2ant1	$⊢ ((θ \land (φ \land ψ \land χ)) \land τ \land η) \to φ$