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Metamath Proof Explorer

Theorem simp111

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

		Ref	Expression
	Assertion	simp111	$⊢ (((φ \land ψ \land χ) \land θ \land τ) \land η \land ζ) \to φ$

Step	Hyp	Ref	Expression
1		simp11	$⊢ ((φ \land ψ \land χ) \land θ \land τ) \to φ$
2	1	3ad2ant1	$⊢ (((φ \land ψ \land χ) \land θ \land τ) \land η \land ζ) \to φ$