The expression "mathematical proof" is used by lay people to refer to using mathematical methods or arguing with mathematical objects, such as numbers, to demonstrate something about everyday life, or when data used in an argument is numerical. It is sometimes also used to mean a "statistical proof" (below), especially when used to argue from data.

Colloquial use of "mathematical proof"
কম্বিনেটরিক্সের মাধ্যমে প্রমাণ
Inductive logic proofs and Bayesian analysis
প্রমাণের সমাপ্তিতে