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Metamath Proof Explorer

Theorem ancomst

Description: Closed form of ancoms . (Contributed by Alan Sare, 31-Dec-2011)

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

Step	Hyp	Ref	Expression
1		ancom	$⊢ (φ \land ψ) \leftrightarrow (ψ \land φ)$
2	1	imbi1i	$⊢ ((φ \land ψ) \to χ) \leftrightarrow ((ψ \land φ) \to χ)$