Theorems · Definition · category theory
Bimod.TensorBimod.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.Limits.HasCoequalizers C] → {R S T : CategoryTheory.Mon C} → Bimod R S → Bimod S T → CThe underlying object of the tensor product of two bimodules.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.associatorproof · cited by 667
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.Limits.coequalizerproof · cited by 79
- Bimodstatement and proof · cited by 68
- Bimod.Xproof · cited by 62
Cited by39
Results whose statement or proof uses this declaration.
- Bimod.tensorBimodproof · cited by 25
- Bimod.TensorBimod.actLeftstatement · cited by 15
- Bimod.TensorBimod.actRightstatement · cited by 14
- Bimod.LeftUnitorBimod.homstatement · cited by 6
- Bimod.RightUnitorBimod.homstatement · cited by 6
- Bimod.AssociatorBimod.hom_inv_idproof · cited by 5
- Bimod.AssociatorBimod.hom_left_act_hom'proof · cited by 5
- Bimod.AssociatorBimod.hom_right_act_hom'proof · cited by 5
- Bimod.AssociatorBimod.inv_hom_idproof · cited by 5
- Bimod.LeftUnitorBimod.invstatement · cited by 4
- Bimod.RightUnitorBimod.invstatement · cited by 4
- Bimod.TensorBimod.whiskerLeft_π_actLeftstatement · cited by 4