Adhesive structure on slice categories #
The slice category Over B inherits the property of being adhesive from the
base category.
TODO #
- The dual result for
Under B.
instance
CategoryTheory.adhesive_over
{C : Type u_1}
[Category.{v_1, u_1} C]
[Adhesive C]
[Limits.HasPullbacks C]
[Limits.HasPushouts C]
(B : C)
:
Slices of adhesive categories are adhesive. See [adhesive2004], Proposition 8 (ii).