Metamath Proof Explorer

Theorem anim1ci

Description: Introduce conjunct to both sides of an implication. (Contributed by Peter Mazsa, 24-Sep-2022)

Ref Expression
Hypothesis anim1i.1 
|- ( ph -> ps )
Assertion anim1ci 
|- ( ( ph /\ ch ) -> ( ch /\ ps ) )

Proof

Step Hyp Ref Expression
1 anim1i.1 
 |-  ( ph -> ps )
2 id 
 |-  ( ch -> ch )
3 1 2 anim12ci 
 |-  ( ( ph /\ ch ) -> ( ch /\ ps ) )