Theorems · Definition · category theory
CategoryTheory.ObjectProperty.ColimitOfShape.toColimitPresentation
{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] →
{X : C} → P.ColimitOfShape J X → CategoryTheory.Limits.ColimitPresentation J X- Cited by
- 22 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Limits.ColimitPresentationstatement · cited by 54
- CategoryTheory.ObjectProperty.ColimitOfShapestatement and proof · cited by 30
Cited by26
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.ColimitOfShape.prop_diag_objstatement · cited by 17
- CategoryTheory.ObjectProperty.ColimitOfShape.ofLEproof · cited by 2
- CategoryTheory.ObjectProperty.ColimitOfShape.reindexproof · cited by 2
- CategoryTheory.ObjectProperty.ColimitOfShape.toCostructuredArrowproof · cited by 2
- CategoryTheory.ObjectProperty.limitsOfShape_eq_unop_colimitsOfShapeproof · cited by 2
- CategoryTheory.ObjectProperty.colimitsOfShape_eq_unop_limitsOfShapeproof · cited by 2
- CategoryTheory.Adjunction.isCardinalFilteredGeneratorproof · cited by 1
- CategoryTheory.ObjectProperty.ColimitOfShape.isCardinalPresentableproof · cited by 1
- CategoryTheory.MorphismProperty.isClosedUnderColimitsOfShape_isLocalproof · cited by 1
- CategoryTheory.ObjectProperty.ColimitOfShape.ofIsoproof · cited by 1