Theorems · Inductive type · category theory
CategoryTheory.RingObjCat
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → [CategoryTheory.BraidedCategory C] → Type (max u v)The category of ring objects in a cartesian monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
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.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.CartesianMonoidalCategorystatement · cited by 947
- CategoryTheory.BraidedCategorystatement · cited by 779
Cited by44
Results whose statement or proof uses this declaration.
- CategoryTheory.RingObjCat.Xstatement and proof · cited by 19
- CategoryTheory.RingObjCat.Hom.homstatement and proof · cited by 10
- CategoryTheory.RingObjCat.Homstatement · cited by 7
- CategoryTheory.RingObjCat.forget₂AddMonstatement and proof · cited by 3
- CategoryTheory.RingObjCat.forget₂Monstatement and proof · cited by 3
- CategoryTheory.RingObjCat.forgetstatement and proof · cited by 2
- CategoryTheory.CommRingObjCat.forget₂RingObjCatstatement · cited by 2
- CategoryTheory.RingObjCat.Hom.extstatement and proof · cited by 2
- CategoryTheory.RingObjCat.hom_extstatement and proof · cited by 1
- CategoryTheory.RingObjCat.mk.injstatement · cited by 1
- CategoryTheory.RingObjCat.mk.noConfusionstatement · cited by 1
- CategoryTheory.RingObjCat.Hom.mk.injstatement and proof · cited by 1