Theorems · Inductive type · category theory
Bimod
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.Mon C → CategoryTheory.Mon C → Type (max u₁ v₁)A bimodule object for a pair of monoid objects, all internal to some monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 68 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.Monstatement · cited by 465
Cited by108
Results whose statement or proof uses this declaration.
- Bimod.Xstatement and proof · cited by 62
- Bimod.actLeftstatement and proof · cited by 47
- Bimod.actRightstatement and proof · cited by 47
- Bimod.TensorBimod.Xstatement and proof · cited by 32
- Bimod.Hom.homstatement and proof · cited by 26
- Bimod.tensorBimodstatement and proof · cited by 25
- Bimod.TensorBimod.actLeftstatement and proof · cited by 15
- Bimod.regularstatement · cited by 14
- Bimod.TensorBimod.actRightstatement and proof · cited by 14
- Bimod.hom_extstatement and proof · cited by 13
- Bimod.Homstatement · cited by 10
- Bimod.isoOfIsostatement and proof · cited by 9