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Metamath Proof Explorer

Theorem anabsi6

Description: Absorption of antecedent into conjunction. (Contributed by NM, 14-Aug-2000)

		Ref	Expression
	Hypothesis	anabsi6.1	$⊢ φ \to ((ψ \land φ) \to χ)$
	Assertion	anabsi6	$⊢ (φ \land ψ) \to χ$

Step	Hyp	Ref	Expression
1		anabsi6.1	$⊢ φ \to ((ψ \land φ) \to χ)$
2	1	ancomsd	$⊢ φ \to ((φ \land ψ) \to χ)$
3	2	anabsi5	$⊢ (φ \land ψ) \to χ$