Theorems · Definition · category theory
CategoryTheory.RingObjCat.X
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.RingObjCat C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 4 from the axioms · 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
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.RingObjCatstatement and proof · cited by 23
Cited by29
Results whose statement or proof uses this declaration.
- CategoryTheory.RingObjCat.Hom.homstatement · cited by 10
- 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.mk.injstatement and proof · cited by 1
- CategoryTheory.RingObjCat.Hom.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.RingObjCat.hom_extstatement · cited by 1
- CategoryTheory.RingObjCat.Hom.mk.congr_simpstatement and proof · cited by 0
- CategoryTheory.RingObjCat.Hom.mk.injEqstatement and proof · cited by 0
- CategoryTheory.RingObjCat.Hom.mk.sizeOf_specstatement and proof · cited by 0
- CategoryTheory.RingObjCat.comp_homstatement · cited by 0