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

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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

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