proof
/ˈpɹuf/
a logical argument establishing the truth of a statement
proof in a sentence
“Her elegant proof reduced the problem to a simple contradiction.”
Origin of proof
Old French preuve, from Latin probare to test, prove
Related Words
postulate
a statement assumed true as a basis for reasoning
hypothesis
a proposed explanation or assumption to be tested
proof by contradiction
proving a statement by showing its negation leads to an impossibility
induction
proving a statement for all natural numbers by establishing a base case and inductive step
axiom
a statement accepted as true without proof, serving as a starting point for reasoning
theorem
a statement that has been proven true based on axioms and other theorems