Metamath Proof Explorer

Theorem ancri

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

Ref Expression
Hypothesis ancri.1 
|- ( ph -> ps )
Assertion ancri 
|- ( ph -> ( ps /\ ph ) )

Proof

Step Hyp Ref Expression
1 ancri.1 
 |-  ( ph -> ps )
2 id 
 |-  ( ph -> ph )
3 1 2 jca 
 |-  ( ph -> ( ps /\ ph ) )