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Metamath Proof Explorer

Theorem simpl2l

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

		Ref	Expression
	Assertion	simpl2l	$⊢ ((χ \land (φ \land ψ) \land θ) \land τ) \to φ$

Step	Hyp	Ref	Expression
1		simpll	$⊢ ((φ \land ψ) \land τ) \to φ$
2	1	3ad2antl2	$⊢ ((χ \land (φ \land ψ) \land θ) \land τ) \to φ$