Metamath Proof Explorer

Theorem anim2i

Description: Introduce conjunct to both sides of an implication. (Contributed by NM, 3-Jan-1993)

Ref Expression
Hypothesis anim1i.1 
|- ( ph -> ps )
Assertion anim2i 
|- ( ( ch /\ ph ) -> ( ch /\ ps ) )

Proof

Step Hyp Ref Expression
1 anim1i.1 
 |-  ( ph -> ps )
2 id 
 |-  ( ch -> ch )
3 2 1 anim12i 
 |-  ( ( ch /\ ph ) -> ( ch /\ ps ) )