Limits in the over category #
Declare instances for limits in the over category: If C has finite wide pullbacks, Over B has
finite limits, and if C has arbitrary wide pullbacks then Over B has limits.
instance
CategoryTheory.Over.instHasPullbacks
{C : Type u}
[CategoryTheory.Category.{v, u} C]
{B : C}
[CategoryTheory.Limits.HasPullbacks C]
:
Make sure we can derive pullbacks in Over B.
instance
CategoryTheory.Over.instHasEqualizers
{C : Type u}
[CategoryTheory.Category.{v, u} C]
{B : C}
[CategoryTheory.Limits.HasEqualizers C]
:
Make sure we can derive equalizers in Over B.