Definition:Uniqueness Theorem

Definition

A uniqueness theorem is a theorem which asserts that only one particular type of object exists.

Examples

Parallel Planes

The theorem that states:

Given a plane and a point $P$ not on that plane, only one plane can pass through $P$ parallel to the given plane

is a uniqueness theorem.

Also see

• Results about uniqueness theorems can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): uniqueness theorem
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): uniqueness theorem