Theorems · Definition · category theory
CategoryTheory.Mod.Hom.hom
{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} → M.Hom N → (M.X ⟶ N.X)The underlying morphism
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 5 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 · 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 · cited by 24
- CategoryTheory.Mod.Homstatement and proof · cited by 6
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.Mod.comapproof · cited by 3
- CategoryTheory.Mod.forgetproof · cited by 2
- CategoryTheory.Mod.Hom.extstatement and proof · cited by 2
- CategoryTheory.Mod.hom_extstatement and proof · cited by 2
- CategoryTheory.Mod.compproof · cited by 1
- CategoryTheory.Mod.comp_hom'statement · cited by 1
- CategoryTheory.Mod.id_hom'statement and proof · cited by 1
- CategoryTheory.Mod.comap_map_homstatement and proof · cited by 0
- CategoryTheory.Mod.comp_homstatement and proof · cited by 0
- CategoryTheory.Mod.forget_mapstatement · cited by 0
- CategoryTheory.Mod.hom_ext_iffstatement and proof · cited by 0
- CategoryTheory.Mod_.comp_hom'statement · cited by 0