Theorems · Theorem · category theory
CategoryTheory.Quiv.id_eq_id
∀ (X : CategoryTheory.Quiv), CategoryTheory.CategoryStruct.id X = 𝟭q ↑X
The identity in the category of quivers equals the identity prefunctor.
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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Cites6
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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bundled.αstatement · cited by 736
- Quiverstatement · cited by 405
- CategoryTheory.Quivstatement and proof · cited by 21
- Prefunctor.idstatement · cited by 14
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