Metamath Proof Explorer

Theorem simpl32

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

		Ref	Expression
	Assertion	simpl32	$⊢ ((θ \land τ \land (φ \land ψ \land χ)) \land η) \to ψ$

Step	Hyp	Ref	Expression
1		simpl2	$⊢ ((φ \land ψ \land χ) \land η) \to ψ$
2	1	3ad2antl3	$⊢ ((θ \land τ \land (φ \land ψ \land χ)) \land η) \to ψ$