Theorem anim1ci 341

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 339	1 |- ( ( ph /\ ch ) -> ( ch /\ ps ) )

This proof depends on syntax axioms:   -> wi 4   /\ wa 104

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This theorem is used by:  ccatval3  11367  ccatalpha  11381  ccatswrd  11442  pfxccatin12lem2  11503  pfxccat3  11506  pfxccat3a  11510  vfermltl  13030  powm2modprm  13031  modprmn0modprm0  13035  dvdsprmpweqle  13116  ixpsnbasval  14803  logbgcd1irr  16069  clwwlkccatlem  16641