Theorems · Theorem · category theory
CategoryTheory.Mod.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.MonObj A} {M N : CategoryTheory.Mod D A} {x y : M.Hom N}, x.hom = y.hom → x = y- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- 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.
Cites10
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.MonObjstatement and proof · cited by 199
- CategoryTheory.Modstatement and proof · cited by 25
- CategoryTheory.Mod.Xstatement and proof · cited by 24
- CategoryTheory.Mod.Hom.homstatement and proof · cited by 15
- CategoryTheory.IsModHomproof · cited by 12
- CategoryTheory.Mod.Homstatement and proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Mod.hom_extproof · cited by 2
- CategoryTheory.Mod.Hom.ext_iffproof · cited by 0