Maths Definitions
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Proof
A series of logical steps which we use to solve a theorem
Axiom
A statement accepted without proof, as a basis for an argument, e.g. axiom 1 (two points axiom)
Theorem
A statement deduced from the axioms by logical argument
Corollary
A statement that follows readily from a theorem. Often a statement of a theorem in a more specific context.
Converse
The reverse of a theorem
Proof by contradiction
Where we assume that a statement is false and then prove that this assumption contradicts another statement that is known to be true