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Metamath Proof Explorer

Theorem simpl1

Description: Simplification of conjunction. (Contributed by Jeff Hankins, 17-Nov-2009) (Proof shortened by Wolf Lammen, 23-Jun-2022)

		Ref	Expression
	Assertion	simpl1	$⊢ ((φ \land ψ \land χ) \land θ) \to φ$

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