Theorem birani

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

	Ref	Expression
Hypothesis	birani.1	|- ( ph <-> ps )
Assertion	birani	|- ( ( ph /\ ch ) -> ps )

Proof

Step	Hyp	Ref	Expression
1		birani.1	|- ( ph <-> ps )
2	1	biimpi	|- ( ph -> ps )
3	2	adantr	|- ( ( ph /\ ch ) -> ps )