Theorem anim1i

Description: Introduce conjunct to both sides of an implication. (Contributed by NM, 5-Aug-1993)

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

Proof

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