Theorems · Definition · category theory

CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone

{C : Type u₁} →
  [inst : CategoryTheory.Category.{u₂, u₁} C] →
    [inst_1 : CategoryTheory.GaloisCategory C] →
      (F : CategoryTheory.Functor C FintypeCat) →
        CategoryTheory.Limits.Cocone
          ((CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl F).op.comp CategoryTheory.coyoneda)

F ⋙ FintypeCat.incl as a cocone over (can F).op ⋙ coyoneda. This is a colimit cocone (see PreGaloisCategory.isColimit)

Defined in

Mathlib.CategoryTheory.Galois.Prorepresentability

Cited by

2 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GaloisCategory