Theorems · Inductive type · category theory

CategoryTheory.RingObjCat.Hom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.RingObjCat C → CategoryTheory.RingObjCat C → Type v

A morphism of ring objects.

Defined in: Mathlib.CategoryTheory.Monoidal.Ring
Cited by: 7 results in Mathlib
Foundations: Depth 4 from the axioms · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.BraidedCategory

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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 · cited by 32,673
CategoryTheory.CartesianMonoidalCategorystatement · cited by 947
CategoryTheory.BraidedCategorystatement · cited by 779
CategoryTheory.RingObjCatstatement · cited by 23

Cited by14

Results whose statement or proof uses this declaration.

CategoryTheory.RingObjCat.Hom.homstatement and proof · cited by 10
CategoryTheory.RingObjCat.Hom.extstatement and proof · cited by 2
CategoryTheory.RingObjCat.Hom.mk.injstatement · cited by 1
CategoryTheory.RingObjCat.Hom.mk.noConfusionstatement · cited by 1
CategoryTheory.RingObjCat.Hom.mk.congr_simpstatement · cited by 0
CategoryTheory.RingObjCat.Hom.mk.injEqstatement · cited by 0
CategoryTheory.RingObjCat.Hom.mk.sizeOf_specstatement · cited by 0
CategoryTheory.RingObjCat.comp_homstatement and proof · cited by 0
CategoryTheory.RingObjCat.Hom.casesOnstatement and proof · cited by 0
CategoryTheory.RingObjCat.Hom.ctorIdxstatement and proof · cited by 0
CategoryTheory.RingObjCat.Hom.ext_iffstatement and proof · cited by 0
CategoryTheory.RingObjCat.Hom.noConfusionstatement and proof · cited by 0