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Metamath Proof Explorer

Theorem anbi1ci

Description: Variant of anbi1i with commutation. (Contributed by Peter Mazsa, 7-Mar-2020)

		Ref	Expression
	Hypothesis	anbi.1	$⊢ φ \leftrightarrow ψ$
	Assertion	anbi1ci	$⊢ (χ \land φ) \leftrightarrow (ψ \land χ)$

Step	Hyp	Ref	Expression
1		anbi.1	$⊢ φ \leftrightarrow ψ$
2	1	anbi2i	$⊢ (χ \land φ) \leftrightarrow (χ \land ψ)$
3	2	biancomi	$⊢ (χ \land φ) \leftrightarrow (ψ \land χ)$