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Metamath Proof Explorer

Theorem bilanri

Description: Inference adding a conjunct to the right-hand side of a biconditional. (Contributed by Matthew House, 22-May-2026)

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

Step	Hyp	Ref	Expression
1		birani.1	$⊢ φ \leftrightarrow ψ$
2	1	biimpri	$⊢ ψ \to φ$
3	2	adantl	$⊢ (χ \land ψ) \to φ$