Prove

verb · Command words

Definition

Show with logical steps that a statement is true.

Explanation

In mathematics, a proof starts with accepted facts and reaches the statement using valid reasoning.

Example

Prove that the angles in a triangle add up to 180 degrees.

In an exam

Command-word meanings can vary between subjects, exam boards and mark schemes, so check your own board's guidance. See Exam Command Words: What Each Instruction Asks For.

Common confusion

Showing that a statement works for some examples is not a proof.