Metamath Proof Explorer

Theorem simpl1l

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 23-Jun-2022)

		Ref	Expression
	Assertion	simpl1l	$⊢ (((φ \land ψ) \land χ \land θ) \land τ) \to φ$

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