Theorem biranri

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	|- ( ph <-> ps )
Assertion	biranri	|- ( ( ps /\ ch ) -> ph )

Proof

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