Given a parallel pair f, g: A → B, a coequalizer is an arrow q: B → C whose domain is the codomain B of the pair and that forms part of their colimit.

In the category of sets, coequalizers can be constructed as quotient sets of coproducts.

Debating the question of coequality, the delegates agreed that no member's authority should supersede another's.

The two departments were declared coequal partners in the new management structure.

She treated him as a coequal, trusting his judgment on every important matter.

The two co-directors coequally shared responsibility for the film's creative vision.

Despite their differing specialties, the two department heads were regarded as coequals in every major decision.

The committee emphasized the coequalness of all regional offices when reorganizing responsibilities.

Scholars debated whether federalism necessarily leads to coequalities between regional governments and the central authority.