Theorems · Definition · category theory
CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.toTransfiniteCompositionOfShape
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{W : CategoryTheory.MorphismProperty C} →
{J : Type w} →
[inst_1 : LinearOrder J] →
[inst_2 : SuccOrder J] →
[inst_3 : OrderBot J] →
[inst_4 : WellFoundedLT J] →
{X Y : C} →
{f : X ⟶ Y} → W.TransfiniteCompositionOfShape J f → CategoryTheory.TransfiniteCompositionOfShape J f- Cited by
- 24 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Quiver.Homstatement and proof · cited by 32,603
- LinearOrderstatement and proof · cited by 8,572
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- OrderBotstatement and proof · cited by 1,055
- SuccOrderstatement and proof · cited by 574
- WellFoundedLTstatement and proof · cited by 491
- CategoryTheory.TransfiniteCompositionOfShapestatement · cited by 32
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShapestatement and proof · cited by 20
Cited by34
Results whose statement or proof uses this declaration.
- CategoryTheory.OrthogonalReflection.iterationproof · cited by 6
- CategoryTheory.SmallObject.iterationFunctorObjObjRightIsoproof · cited by 4
- CategoryTheory.SmallObject.relativeCellComplexιObjproof · cited by 4
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.ofLEproof · cited by 3
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.icistatement and proof · cited by 2
- CategoryTheory.SmallObject.iterationFunctorObjObjRightIso_ιIteration_app_rightstatement and proof · cited by 2
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.map_memstatement · cited by 2
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.mapproof · cited by 2
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.ofOrderIsoproof · cited by 2
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.iicstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.ofArrowIsoproof · cited by 1