Discrete-math 11

Partial order properties (continued) theorem


Definitions

Upper bound definition

Lower bound definition

Least upper bound (supremum, sup) definition

Greatest lower bound (infimum, inf) definition


Properties of relations

Complete definition

To one definition

Onto definition

One-to-one definition


Example


Function definition


Example


Definitions

One-to-one function (injection) definition

Onto function (surjection) definition

Onto and one-to-one (bijection) definition


Example


Domain of the function definition

Range of the function definition

Image of the function definition


Composition of functions definition