Theorems · Theorem · category theory
CategoryTheory.AddMon.Hom.ext
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C}
{M N : CategoryTheory.AddMon C} {x y : M.Hom N}, x.hom = y.hom → x = y- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.AddMonstatement and proof · cited by 177
- CategoryTheory.AddMon.Xstatement and proof · cited by 126
- CategoryTheory.AddMon.Hom.homstatement and proof · cited by 94
- CategoryTheory.IsAddMonHomproof · cited by 49
- CategoryTheory.AddMon.Homstatement and proof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMon.Hom.ext'proof · cited by 1
- CategoryTheory.AddGrp.hom_extproof · cited by 1
- CategoryTheory.AddMon.hom_injectiveproof · cited by 0
- CategoryTheory.AddMon.Hom.ext_iffproof · cited by 0