Theorems · Definition · category theory
Bimod.regular
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → (A : CategoryTheory.Mon C) → Bimod A AA monoid object as a bimodule over itself.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.MonObj.mulproof · cited by 230
- Bimodstatement · cited by 68
Cited by20
Results whose statement or proof uses this declaration.
- Bimod.LeftUnitorBimod.homstatement · cited by 6
- Bimod.RightUnitorBimod.homstatement · cited by 6
- Bimod.LeftUnitorBimod.invstatement and proof · cited by 4
- Bimod.RightUnitorBimod.invstatement and proof · cited by 4
- Bimod.rightUnitorBimodstatement · cited by 2
- Bimod.LeftUnitorBimod.hom_inv_idstatement · cited by 2
- Bimod.LeftUnitorBimod.hom_left_act_hom'statement · cited by 2
- Bimod.LeftUnitorBimod.hom_right_act_hom'statement · cited by 2
- Bimod.LeftUnitorBimod.inv_hom_idstatement and proof · cited by 2
- Bimod.RightUnitorBimod.hom_inv_idstatement · cited by 2
- Bimod.RightUnitorBimod.hom_left_act_hom'statement · cited by 2
- Bimod.RightUnitorBimod.hom_right_act_hom'statement · cited by 2