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Metamath Proof Explorer

Theorem anabsi8

Description: Absorption of antecedent into conjunction. (Contributed by NM, 26-Sep-1999)

		Ref	Expression
	Hypothesis	anabsi8.1	$⊢ ψ \to ((ψ \land φ) \to χ)$
	Assertion	anabsi8	$⊢ (φ \land ψ) \to χ$

Step	Hyp	Ref	Expression
1		anabsi8.1	$⊢ ψ \to ((ψ \land φ) \to χ)$
2	1	anabsi5	$⊢ (ψ \land φ) \to χ$
3	2	ancoms	$⊢ (φ \land ψ) \to χ$