Metamath Proof Explorer

Theorem simpll1

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

		Ref	Expression
	Assertion	simpll1	$⊢ (((φ \land ψ \land χ) \land θ) \land τ) \to φ$

Step	Hyp	Ref	Expression
1		simp1	$⊢ (φ \land ψ \land χ) \to φ$
2	1	ad2antrr	$⊢ (((φ \land ψ \land χ) \land θ) \land τ) \to φ$