proof

The evidence or argument that compels the mind to accept an assertion as true.

The validation of a proposition by application of specified rules, as of induction or deduction, to assumptions, axioms, and sequentially derived conclusions.

A statement or argument used in such a validation.

Convincing or persuasive demonstration.

The state of being convinced or persuaded by consideration of evidence.

Determination of the quality of something by testing; trial.

The establishment of the truth or falsity of an allegation by evidence.