Theorems · Theorem · category theory
CategoryTheory.CommRingObjCat.hom_ext
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {R₁ R₂ : CategoryTheory.CommRingObjCat C} {f g : R₁ ⟶ R₂},
f.hom = g.hom → f = g- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
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.CommRingObjCatstatement and proof · cited by 19
- CategoryTheory.CommRingObjCat.Xstatement · cited by 16
- CategoryTheory.CommRingObjCat.Hom.homstatement and proof · cited by 9
- CategoryTheory.CommRingObjCat.Hom.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.CommRingObjCat.hom_ext_iffproof · cited by 0