Theorems · Definition · category theory
CategoryTheory.ObjectProperty.ColimitOfShape.reindex
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
{P : CategoryTheory.ObjectProperty C} →
{J : Type u'} →
[inst_1 : CategoryTheory.Category.{v', u'} J] →
{J' : Type u''} →
[inst_2 : CategoryTheory.Category.{v'', u''} J'] →
{X : C} → P.ColimitOfShape J X → (G : CategoryTheory.Functor J' J) → [G.Final] → P.ColimitOfShape J' XChange the index category for ObjectProperty.ColimitOfShape.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Functor.Finalstatement and proof · cited by 112
- CategoryTheory.Limits.ColimitPresentationproof · cited by 54
- CategoryTheory.ObjectProperty.ColimitOfShapestatement and proof · cited by 30
- CategoryTheory.ObjectProperty.ColimitOfShape.toColimitPresentationproof · cited by 22
- CategoryTheory.Limits.ColimitPresentation.reindexproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.colimitsOfShape_le_of_finalproof · cited by 1
- CategoryTheory.ObjectProperty.ColimitOfShape.reindex_toColimitPresentationstatement and proof · cited by 0