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Metamath Proof Explorer

Theorem simpll

Description: Simplification of a conjunction. (Contributed by NM, 18-Mar-2007)

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

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