Theorems · Definition · category theory
CategoryTheory.ConcreteCategory.hom
{C : Type u} →
{inst : CategoryTheory.Category.{v, u} C} →
{FC : outParam (C → C → Type u_1)} →
{CC : outParam (C → Type w)} →
{inst_1 : outParam ((X Y : C) → FunLike (FC X Y) (CC X) (CC Y))} →
[self : CategoryTheory.ConcreteCategory C FC] → {X Y : C} → (X ⟶ Y) → FC X YConvert a morphism of C to a bundled function.
- Cited by
- 4,022 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 11 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Homstatement · cited by 32,603
- FunLikestatement and proof · cited by 2,560
- CategoryTheory.ConcreteCategorystatement and proof · cited by 421
Cited by4,793
Results whose statement or proof uses this declaration.
- CommRingCat.Hom.homproof · cited by 432
- CategoryTheory.forgetproof · cited by 418
- CategoryTheory.comp_applystatement and proof · cited by 387
- ModuleCat.Hom.homproof · cited by 341
- CategoryTheory.ConcreteCategory.hom_ofHomstatement · cited by 205
- Rep.Hom.homproof · cited by 190
- TopCat.Hom.homproof · cited by 169
- CategoryTheory.types_congr_homstatement · cited by 149
- CategoryTheory.Functor.sectionsproof · cited by 140
- CategoryTheory.ConcreteCategory.congr_homstatement and proof · cited by 138
- AlgebraicGeometry.Scheme.Hom.opensRangeproof · cited by 113
- CategoryTheory.ConcreteCategory.extstatement and proof · cited by 107
Showing the 200 most cited of 4,793.