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Metamath Proof Explorer

Theorem anabss4

Description: Absorption of antecedent into conjunction. (Contributed by NM, 20-Jul-1996)

		Ref	Expression
	Hypothesis	anabss4.1	$⊢ ((ψ \land φ) \land ψ) \to χ$
	Assertion	anabss4	$⊢ (φ \land ψ) \to χ$

Step	Hyp	Ref	Expression
1		anabss4.1	$⊢ ((ψ \land φ) \land ψ) \to χ$
2	1	anabss1	$⊢ (ψ \land φ) \to χ$
3	2	ancoms	$⊢ (φ \land ψ) \to χ$