proof

1. An effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial. (countable) · I need proof of your unconditional love. Lend me some dough.
2. The degree of evidence which convinces the mind of any truth or fact, and produces belief; a test by facts or arguments which induce, or tend to induce, certainty of the judgment; conclusive evidence; demonstration. (uncountable)
3. The quality or state of having been proved or tried; firmness or hardness which resists impression, or does not yield to force; impenetrability of physical bodies. (countable, uncountable)
4. A proof sheet; a trial impression, as from type, taken for correction or examination. (countable)
5. A limited-run high-quality strike of a particular coin, originally as a test run, although nowadays mostly for collectors' sets. (countable, uncountable)
6. A sequence of statements consisting of axioms, assumptions, statements already demonstrated in another proof, and statements that logically follow from previous statements in the sequence, and which concludes with a statement that is the object of the proof. (countable)
7. A process for testing the accuracy of an operation performed. Compare prove, transitive verb, 5. (countable)
8. A measure of the alcohol content of liquor. Originally, in Britain, 100 proof was defined as 57.1% by volume (no longer used). In the US, 100 proof means that the alcohol content is 50% of the total volume of the liquid; thus, perfectly pure absolute alcohol would be 200 proof. (US, countable, uncountable)

Plural proofs