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Intersection definition

Union definition

Complement definition

Cartesian product definition

Power set definition

Injective definition

Surjective definition

Bijective definition
A function which is both injective and surjective. In this case, the inverse function exists.
Direct image definition

Preimage definition

How do you express that something is an element of the direct image?

How do you prove a set is a subset of another set

How do you prove a set is a subset of an intersection?

How to prove two sets are equal
Or prove that they are subsets of each other.

How do you prove two subsets are equal using complements?

Direct image complement

Union of a family of subsets definition

Intersection of a family of subsets definition

De Morgan law alternative representation
