# Homotopy Type Theory monic map in a dagger 2-poset > history (Rev #1)

## Definition

A morphism $f:hom_A(a,b)$ of a dagger 2-poset $A$ is a monic map if it is a functional dagger monomorphism.

The type of all monic maps in $hom_A(a,b)$ is defined as

$Inj(a, b) \coloneqq \sum_{f:hom_A(a,b)} isFunctional(f) \times isMonic(f)$

## See also

category: category theory

Revision on April 25, 2022 at 10:11:52 by Anonymous?. See the history of this page for a list of all contributions to it.