Theorem anim1ci 339

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

Hypothesis

Ref	Expression
anim1i.1	|- ( ph -> ps )

Assertion

Ref	Expression
anim1ci	|- ( ( ph /\ ch ) -> ( ch /\ ps ) )

Proof of Theorem anim1ci

Step	Hyp	Ref	Expression
1		anim1i.1	. 2 |- ( ph -> ps )
2		id 19	. 2 |- ( ch -> ch )
3	1, 2	anim12ci 337	1 |- ( ( ph /\ ch ) -> ( ch /\ ps ) )

Syntax hints:   -> wi 4   /\ wa 103

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107

This theorem is referenced by:  vfermltl  12205  powm2modprm  12206  modprmn0modprm0  12210  dvdsprmpweqle  12290  logbgcd1irr  13679