Theorems · Definition · category theory
HomRel
(C : Type u_1) → [Quiver C] → Type (max u_1 u_2)
A HomRel on C consists of a relation on every hom-set.
- Defined in
- Mathlib.CategoryTheory.Quotient
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
Cited by112
Results whose statement or proof uses this declaration.
- CategoryTheory.Quotientstatement · cited by 48
- CategoryTheory.Quotient.asstatement and proof · cited by 47
- CategoryTheory.Quotient.functorstatement and proof · cited by 41
- HomotopicalAlgebra.LeftHomotopyRelstatement · cited by 22
- HomotopicalAlgebra.RightHomotopyRelstatement · cited by 22
- HomotopicalAlgebra.BifibrantObject.homRelstatement · cited by 22
- HomotopicalAlgebra.CofibrantObject.homRelstatement · cited by 20
- CategoryTheory.HomRel.CompClosurestatement · cited by 19
- CategoryTheory.Quotient.soundstatement and proof · cited by 16
- HomotopicalAlgebra.FibrantObject.homRelstatement · cited by 12
- homotopicstatement · cited by 12
- CategoryTheory.Quotient.liftstatement and proof · cited by 11