# nLab entire morphism in a dagger 2-poset

### Context

#### Higher category theory

higher category theory

## Idea

A morphism similar to how entire relations are defined in Rel

## Definition

A morphism $f \in hom_A(a,b)$ of a dagger 2-poset $A$ is an entire morphism if $1_a \leq f^\dagger \circ f$.