Theorems · Theorem · category theory
CategoryTheory.AddGrp.hom_ext
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{A B : CategoryTheory.AddGrp C} (f g : A ⟶ B), f.hom.hom = g.hom.hom → f = g- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.AddMonstatement · cited by 177
- CategoryTheory.AddMon.Xstatement · cited by 126
- CategoryTheory.AddMon.Hom.homstatement and proof · cited by 94
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.toAddMonstatement · cited by 51
- CategoryTheory.InducedCategory.hom_extproof · cited by 16
- CategoryTheory.AddMon.Hom.extproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrp.hom_ext_iffproof · cited by 0