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Metamath Proof Explorer

Theorem 3anidm23

Description: Inference from idempotent law for conjunction. (Contributed by NM, 1-Feb-2007)

		Ref	Expression
	Hypothesis	3anidm23.1	$⊢ (φ \land ψ \land ψ) \to χ$
	Assertion	3anidm23	$⊢ (φ \land ψ) \to χ$

Step	Hyp	Ref	Expression
1		3anidm23.1	$⊢ (φ \land ψ \land ψ) \to χ$
2	1	3expa	$⊢ ((φ \land ψ) \land ψ) \to χ$
3	2	anabss3	$⊢ (φ \land ψ) \to χ$