Theorems · Theorem · category theory
CategoryTheory.Limits.ColimitPresentation.w
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : Type w} [inst_1 : CategoryTheory.Category.{t, w} J]
{X : C} (pres : CategoryTheory.Limits.ColimitPresentation J X) {i j : J} (f : i ⟶ j),
CategoryTheory.CategoryStruct.comp (pres.diag.map f) (pres.ι.app j) = pres.ι.app i- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Functor.conststatement · cited by 1,264
- CategoryTheory.NatTrans.naturalityproof · cited by 318
- CategoryTheory.Limits.ColimitPresentation.diagstatement · cited by 62
- CategoryTheory.Limits.ColimitPresentationstatement and proof · cited by 54
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.isClosedUnderColimitsOfShape_isLocalproof · cited by 1
- CategoryTheory.Limits.ColimitPresentation.w_assocproof · cited by 0