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

Proof

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