Theorems · Definition · category theory
CategoryTheory.CommRingObjCat.Hom.hom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
{R₁ R₂ : CategoryTheory.CommRingObjCat C} → R₁.Hom R₂ → (R₁.X ⟶ R₂.X)The underlying morphism
- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.Homstatement · cited by 32,603
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommRingObjCatstatement and proof · cited by 19
- CategoryTheory.CommRingObjCat.Xstatement · cited by 16
- CategoryTheory.CommRingObjCat.Homstatement and proof · cited by 7
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.CommRingObjCat.forgetproof · cited by 2
- CategoryTheory.yonedaCommRingproof · cited by 2
- CategoryTheory.CommRingObjCat.forget₂RingObjCatproof · cited by 2
- CategoryTheory.CommRingObjCat.Hom.extstatement and proof · cited by 2
- CategoryTheory.CommRingObjCat.hom_extstatement and proof · cited by 1
- CategoryTheory.CommRingObjCat.comp_homstatement and proof · cited by 0
- CategoryTheory.CommRingObjCat.forget_mapstatement · cited by 0
- CategoryTheory.CommRingObjCat.forget₂RingObjCat_map_homstatement · cited by 0
- CategoryTheory.yonedaCommRing_map_app_applystatement · cited by 0
- CategoryTheory.CommRingObjCat.hom_ext_iffstatement and proof · cited by 0
- CategoryTheory.CommRingObjCat.id_homstatement and proof · cited by 0
- CategoryTheory.CommRingObjCat.Hom.ext_iffstatement and proof · cited by 0