Theorems · Theorem · category theory
Bimod.RightUnitorBimod.hom_inv_id
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.Limits.HasCoequalizers C] {R S : CategoryTheory.Mon C} (P : Bimod R S),
CategoryTheory.CategoryStruct.comp (Bimod.RightUnitorBimod.hom P) (Bimod.RightUnitorBimod.inv P) =
CategoryTheory.CategoryStruct.id (Bimod.TensorBimod.X P (Bimod.regular S))- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites44
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.MonoidalCategoryStruct.tensorUnitproof · cited by 1,384
- CategoryTheory.Iso.symmproof · cited by 993
Cited by3
Results whose statement or proof uses this declaration.
- Bimod.rightUnitorBimodproof · cited by 2
- Bimod.whiskerRight_id_bimodproof · cited by 0
- Bimod.triangle_bimodproof · cited by 0