Theorems · Inductive type · category theory
CategoryTheory.Cat.FreeReflRel
(V : Type u_1) → [inst : CategoryTheory.ReflQuiver V] → (X Y : CategoryTheory.Paths V) → (X ⟶ Y) → (X ⟶ Y) → Prop
The hom relation that identifies the specified reflexivity arrows with the nil paths
- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CategoryTheory.ReflQuiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Pathsstatement · cited by 82
- CategoryTheory.ReflQuiverstatement · cited by 64
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.FreeReflproof · cited by 34
- CategoryTheory.Cat.FreeRefl.mkproof · cited by 17
- CategoryTheory.Cat.FreeRefl.quotientFunctorproof · cited by 8
- CategoryTheory.Cat.FreeRefl.liftproof · cited by 6
- CategoryTheory.Cat.FreeRefl.homMk_idproof · cited by 2
- CategoryTheory.Cat.FreeRefl.lift_unique'proof · cited by 1
- SSet.Truncated.HomotopyCategory.extstatement · cited by 0
- CategoryTheory.Cat.FreeRefl.quotientFunctor_map_idproof · cited by 0
- CategoryTheory.Cat.FreeReflRel.casesOnstatement and proof · cited by 0
- CategoryTheory.Cat.FreeReflRel.recOnstatement and proof · cited by 0
- SSet.hoFunctor.obj.equivproof · cited by 0