In conformity with something
Definition 1 of 2
Pro Tip 1/3Rule Adherence
Use it to show strict following of formal rules or guidelines. 
Our procedures are carried out in conformity with international standards.
Pro Tip 2/3Unspoken Agreement
It implies agreement to something without directly stating it. 
She nodded, her actions in conformity with my request.
Pro Tip 3/3Legal Contexts
Often used in legal or formal contexts to refer to laws or regulations. 
The contract was drafted in conformity with state laws.