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Metamath Proof Explorer

Theorem 3simpa

Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994) (Proof shortened by Wolf Lammen, 21-Jun-2022)

		Ref	Expression
	Assertion	3simpa	$⊢ (φ \land ψ \land χ) \to (φ \land ψ)$

Step	Hyp	Ref	Expression
1		id	$⊢ (φ \land ψ) \to (φ \land ψ)$
2	1	3adant3	$⊢ (φ \land ψ \land χ) \to (φ \land ψ)$