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' XChange the index category of a colimit presentation.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- Equiv.symmproof · cited by 3,681
- CategoryTheory.Functor.whiskerLeftproof · cited by 496
- CategoryTheory.Functor.Finalstatement and proof · cited by 112
- CategoryTheory.Limits.ColimitPresentation.diagproof · cited by 62
- CategoryTheory.Limits.ColimitPresentationstatement and proof · cited by 54
- CategoryTheory.Limits.ColimitPresentation.ιproof · cited by 33
- CategoryTheory.Limits.ColimitPresentation.isColimitproof · cited by 19
- CategoryTheory.Functor.Final.isColimitWhiskerEquivproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.ColimitOfShape.reindexproof · cited by 2
- CategoryTheory.ObjectProperty.of_essentiallySmall_indexproof · cited by 1
- CategoryTheory.Limits.ColimitPresentation.reindex.congr_simpstatement and proof · cited by 1
- CategoryTheory.ObjectProperty.ind_indproof · cited by 1
- CategoryTheory.Limits.ColimitPresentation.reindex_diagstatement and proof · cited by 1
- CategoryTheory.ObjectProperty.ColimitOfShape.reindex_toColimitPresentationstatement · cited by 0
- CategoryTheory.Limits.ColimitPresentation.reindex_ιstatement and proof · cited by 0