Theorems · Definition · category theory
CategoryTheory.RingObjCat.Hom.casesOn
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
{R₁ R₂ : CategoryTheory.RingObjCat C} →
{motive : R₁.Hom R₂ → Sort u_1} →
(t : R₁.Hom R₂) →
((hom : R₁.X ⟶ R₂.X) →
[isRingHom : CategoryTheory.IsRingHom hom] → motive { hom := hom, isRingHom := isRingHom }) →
motive t- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · 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 and proof · cited by 19
- CategoryTheory.IsRingHomstatement and proof · cited by 10
- CategoryTheory.RingObjCat.Homstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.RingObjCat.Hom.noConfusionTypeproof · cited by 0
- CategoryTheory.RingObjCat.Hom.noConfusionproof · cited by 0