Theorems · Theorem · category theory
CategoryTheory.Cat.freeMapIdIso_hom_app
∀ (V : Type u_1) [inst : Quiver V] (X : CategoryTheory.Paths V), (CategoryTheory.Cat.freeMapIdIso V).hom.app X = CategoryTheory.CategoryStruct.id X
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Quiver
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- Quiverstatement and proof · cited by 405
- CategoryTheory.Pathsstatement and proof · cited by 82
- Prefunctor.idstatement · cited by 14
- CategoryTheory.Cat.freeMapstatement · cited by 13
- CategoryTheory.Cat.freeMapIdIsostatement and proof · cited by 3
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