mathematical terminology

Summary

Definition

• precise and unambiquous description of the meaning of a mathematical term
• presents all the properties that must be true

Axiom

• statement that is assumed to be true, without proof
• used to build a theory

Theorem

• mathematical statement proved using mathematical reasoning
• a major or important result

Lemma

• a small theorem
• used to prove a more important theorem

Corollary

• a simple deduction from a theorem

Conjecture

• a statement that is believed to be true, but there is no proof yet