# Homotopy Type Theory map-extensional dagger 2-poset > history (Rev #5, changes)

Showing changes from revision #4 to #5: Added | Removed | Changed

# Contents

## Idea

An map-evaluational dagger 2-poset where maps satisfy the axiom of extensionality.

## Definition

An map-extensional dagger 2-poset $C$ is a map-evaluational dagger 2-poset such that for maps $f:Map(A,B)$ and $g:Map(A,B)$, if $f(x) = g(x)$ for all elements $x:El(A)$, then $f = g$.