Theorems · Theorem · category theory
CategoryTheory.FreeGroupoid.mapId_hom_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : CategoryTheory.FreeGroupoid C),
(CategoryTheory.FreeGroupoid.mapId C).hom.app X = CategoryTheory.CategoryStruct.id X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Quotient.asproof · cited by 47
- CategoryTheory.FreeGroupoidstatement and proof · cited by 27
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.