Theorems · Theorem · category theory
CategoryTheory.Presieve.map_id
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X : C} (R : CategoryTheory.Presieve X),
CategoryTheory.Presieve.map (CategoryTheory.Functor.id C) R = R- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 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.
Cites7
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.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- le_antisymmproof · cited by 2,068
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.Presieve.mapstatement and proof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.comap_idproof · cited by 0