Theorem Definitions

Question 1

Axiom

Answer 1

A statement which is assumed to be true and is used as a basis for developing a system

Question 2

Converse

Answer 2

Formed by taking the conclusion as the starting point and having the starting point as the conclusion

Question 3

Corollary

Answer 3

Follows after a theorem and is a proposition which must be true because of that theorem

Question 4

Implied

Answer 4

Indicates a logical relationship between two statements, such that if the 1st is true then the 2nd must be true

Question 5

Proof

Answer 5

A sequence of statements (made up of axioms, assumptions and arguments) leading to the establishment of the truth of one final statement

Question 6

Theorem

Answer 6

A statement which is been proved to be true