com·pli·ance 
/kəmˈplajəns/ noun
/kəmˈplajəns/ noun [noncount] formal : the act or process of doing what you have been asked or ordered to do : the act or process of complying
▪ She was rewarded for her compliance. ▪ There has been a low/high rate of compliance with the new law.
▪ She was rewarded for her compliance. ▪ There has been a low/high rate of compliance with the new law.
in compliance with
: in the way that is required by (a rule, law, etc.)
▪ In compliance with a court order, the company has ceased operations. ▪ The workers were not in full compliance with the rules. [=were not following the rules exactly]
▪ In compliance with a court order, the company has ceased operations. ▪ The workers were not in full compliance with the rules. [=were not following the rules exactly]
