A "proper introduction" refers to a formal way of meeting someone for the first time where you and the other person exchange names and greet each other in a respectful manner. Full definition
He is good with other small dogs with proper introductions on leash, but he wants to be the top dog (alpha) at home, especially with other male dogs. (furryfriendsrescue.org)
After proper introduction of Islamic banking and finance and some major difference it has to conventional banking, move towards the main passage. (paperwritingservice.info)
Because of her size, she does best with large dogs, after proper introduction. (canerossorescue.org)