Metamath Proof Explorer

Theorem ancr

Description: Conjoin antecedent to right of consequent. (Contributed by NM, 15-Aug-1994)

Ref Expression
Assertion ancr 
|- ( ( ph -> ps ) -> ( ph -> ( ps /\ ph ) ) )

Proof

Step Hyp Ref Expression
1 pm3.21 
 |-  ( ph -> ( ps -> ( ps /\ ph ) ) )
2 1 a2i 
 |-  ( ( ph -> ps ) -> ( ph -> ( ps /\ ph ) ) )