Metamath Proof Explorer

Theorem simp212

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

		Ref	Expression
	Assertion	simp212	$⊢ (η \land ((φ \land ψ \land χ) \land θ \land τ) \land ζ) \to ψ$

Step	Hyp	Ref	Expression
1		simp12	$⊢ ((φ \land ψ \land χ) \land θ \land τ) \to ψ$
2	1	3ad2ant2	$⊢ (η \land ((φ \land ψ \land χ) \land θ \land τ) \land ζ) \to ψ$