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category_theory.limits.constructions.over.connected

Connected limits in the over category #

Shows that the forgetful functor over B ⥤ C creates connected limits, in particular over B has any connected limit which C has.

(Impl) Given a diagram in the over category, produce a natural transformation from the diagram legs to the specific object.

Equations

(Impl) Given a cone in the base category, raise it to a cone in the over category. Note this is where the connected assumption is used.

Equations
@[instance]

The over category has any connected limit which the original category has.