Metamath Proof Explorer

Theorem simpl13

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 24-Jun-2022)

		Ref	Expression
	Assertion	simpl13	$⊢ (((φ \land ψ \land χ) \land θ \land τ) \land η) \to χ$

Step	Hyp	Ref	Expression
1		simpl3	$⊢ ((φ \land ψ \land χ) \land η) \to χ$
2	1	3ad2antl1	$⊢ (((φ \land ψ \land χ) \land θ \land τ) \land η) \to χ$