Theorems · Definition · category theory
CategoryTheory.AddMod.X
{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] → CategoryTheory.AddMod D A → DThe underlying object in the ambient category
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- 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
Cited by29
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMod.Hom.homstatement · cited by 12
- CategoryTheory.AddMod.comapproof · cited by 3
- CategoryTheory.AddMod.forgetproof · cited by 2
- CategoryTheory.AddMod.Hom.extstatement and proof · cited by 2
- CategoryTheory.AddMod.Hom.mk'statement and proof · cited by 1
- CategoryTheory.AddMod.hom_extstatement · cited by 1
- CategoryTheory.AddMod.Hom.mk.injstatement and proof · cited by 1
- CategoryTheory.AddMod.Hom.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.AddMod.idproof · cited by 1
- CategoryTheory.AddMod.Hom.mk'_homstatement and proof · cited by 0
- CategoryTheory.AddMod.Hom.noConfusionproof · cited by 0
- CategoryTheory.AddMod.Hom.noConfusionTypeproof · cited by 0