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Theorems · Definition · category theory

CategoryTheory.Limits.ColimitPresentation.reindex

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type w} →
      [inst_1 : CategoryTheory.Category.{t, w} J] →
        {X : C} →
          CategoryTheory.Limits.ColimitPresentation J X →
            {J' : Type u_1} →
              [inst_2 : CategoryTheory.Category.{v_1, u_1} J'] →
                (F : CategoryTheory.Functor J' J) → [F.Final] → CategoryTheory.Limits.ColimitPresentation J' X

Change the index category of a colimit presentation.

Defined in
Mathlib.CategoryTheory.Limits.Presentation
Cited by
6 results in Mathlib
Foundations
Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.Final

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ObjectProperty.ColimitOfShape.reindex · cited by 2ColimitOfShape.reindexCategoryTheory.ObjectProperty.of_essentiallySmall_index · cited by 1ObjectProperty.of_essenti…CategoryTheory.Limits.ColimitPresentation.reindex.congr_simp · cited by 1reindex.congr_simpCategoryTheory.ObjectProperty.ind_ind · cited by 1ObjectProperty.ind_indCategoryTheory.Limits.ColimitPresentation.reindex_diag · cited by 1ColimitPresentation.reind…CategoryTheory.ObjectProperty.ColimitOfShape.reindex_toColimitPresentation · cited by 0ColimitOfShape.reindex_to…CategoryTheory.Limits.ColimitPresentation.reindex_ι · cited by 0ColimitPresentation.reind…DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compEquiv.symm · cited by 3681Equiv.symmCategoryTheory.Functor.whiskerLeft · cited by 496Functor.whiskerLeftCategoryTheory.Functor.Final · cited by 112Functor.FinalCategoryTheory.Limits.ColimitPresentation.diag · cited by 62ColimitPresentation.diagCategoryTheory.Limits.ColimitPresentation · cited by 54Limits.ColimitPresentationCategoryTheory.Limits.ColimitPresentation.ι · cited by 33ColimitPresentation.ιCategoryTheory.Limits.ColimitPresentation.isColimit · cited by 19ColimitPresentation.isCol…CategoryTheory.Functor.Final.isColimitWhiskerEquiv · cited by 8Final.isColimitWhiskerEqu…ColimitPresentation.reindexCITED BYCITES

Cites12

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.