Theorems · Theorem · category theory
CategoryTheory.AddMod.hom_ext
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
[inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D]
{A : C} [inst_4 : CategoryTheory.AddMonObj A] {M N : CategoryTheory.AddMod D A} (f₁ f₂ : M ⟶ N),
f₁.hom = f₂.hom → f₁ = f₂- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategory.MonoidalLeftActionstatement and proof · cited by 215
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddModstatement and proof · cited by 21
- CategoryTheory.AddMod.Xstatement · cited by 19
- CategoryTheory.AddMod.Hom.homstatement and proof · cited by 12
- CategoryTheory.AddMod.Hom.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMod.hom_ext_iffproof · cited by 0