Theorems · Definition · category theory
CategoryTheory.RingObjCat.Hom.hom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → {R₁ R₂ : CategoryTheory.RingObjCat C} → R₁.Hom R₂ → (R₁.X ⟶ R₂.X)The underlying morphism
- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 10 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.RingObjCatstatement and proof · cited by 23
- CategoryTheory.RingObjCat.Xstatement · cited by 19
- CategoryTheory.RingObjCat.Homstatement and proof · cited by 7
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.RingObjCat.forget₂AddMonproof · cited by 3
- CategoryTheory.RingObjCat.forget₂Monproof · cited by 3
- CategoryTheory.RingObjCat.forgetproof · cited by 2
- CategoryTheory.RingObjCat.Hom.extstatement and proof · cited by 2
- CategoryTheory.RingObjCat.hom_extstatement and proof · cited by 1
- CategoryTheory.yonedaRingproof · cited by 0
- CategoryTheory.CommRingObjCat.forget₂RingObjCat_map_homstatement and proof · cited by 0
- CategoryTheory.CommRingObjCat.fullyFaithfulForget₂RingObjCatproof · cited by 0
- CategoryTheory.RingObjCat.comp_homstatement and proof · cited by 0
- CategoryTheory.RingObjCat.forget_mapstatement · cited by 0
- CategoryTheory.RingObjCat.Hom.ext_iffstatement and proof · cited by 0
- CategoryTheory.RingObjCat.forget₂AddMon_map_homstatement · cited by 0