Theorems · Theorem · category theory
CategoryTheory.RingObjCat.Hom.ext
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.CartesianMonoidalCategory C}
{inst_2 : CategoryTheory.BraidedCategory C} {R₁ R₂ : CategoryTheory.RingObjCat C} {x y : R₁.Hom R₂},
x.hom = y.hom → x = y- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.IsRingHomproof · cited by 10
- CategoryTheory.RingObjCat.Hom.homstatement 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_extproof · cited by 1
- CategoryTheory.RingObjCat.Hom.ext_iffproof · cited by 0