A process for testing the accuracy of an operation performed. Cf. Prove, v. t., 5.

Used in proving or testing; as, a proof load, or proof charge.

a finalized set of statements claiming to solve a problem

a sequence of formulas, each of which is derived from axioms, definitions, or previous formulas in the sequence by applying some rule of inference

a sequence of inferences that starts with the axioms, and leads to the particular statement you wish to prove

a sequence of substitution instances of axioms and inference rules, where the hypotheses of the inference rules match previous steps in the sequence

a step by step listing of claims, each of which is justified by definitions, theorems and previous claims, culminating in the statement to be proved

a structured line of reasoning, not a statement about bees

a complex of appropriately related Inference Steps

In a criminal case the prosecutor needs to prove their case beyond reasonable doubt. i.e Are the jury sure that the accused committed the crime. In a civil claim the Claimant needs to prove his case on the balance of probabilities, ie more than 50% likely.

A sequence of statements in which each subsequent statement is derivable from one of the previous statements or from an axiom of a formal system. The final statement of a proof is usually the theorem that one has set out to prove.