Homonym: proof (Evidence)
In mathematics and science, "proof" refers to a logical argument that demonstrates the truth of a statement or theorem. It uses established facts, definitions, and previously proven statements to show that a conclusion is valid. Proofs can take various forms, including direct proofs, indirect proofs, and constructive proofs, each serving to establish the validity of a claim.
In everyday life, "proof" can also mean evidence or verification of something. For example, in legal contexts, proof is required to establish guilt or innocence. Similarly, in everyday situations, people seek proof, such as receipts or documents, to confirm transactions or agreements.