Theorems · Definition · category theory
Bimod.actLeft
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
{A B : CategoryTheory.Mon C} →
(self : Bimod A B) → CategoryTheory.MonoidalCategoryStruct.tensorObj A.X self.X ⟶ self.XThe left action of this bimodule object
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 32,603
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- Bimodstatement and proof · cited by 68
- Bimod.Xstatement · cited by 62
Cited by63
Results whose statement or proof uses this declaration.
- Bimod.TensorBimod.Xproof · cited by 32
- Bimod.TensorBimod.actLeftproof · cited by 15
- Bimod.TensorBimod.actRightproof · cited by 14
- Bimod.isoOfIsostatement and proof · cited by 9
- Bimod.whiskerLeftproof · cited by 9
- Bimod.whiskerRightproof · cited by 9
- Bimod.LeftUnitorBimod.homproof · cited by 6
- Bimod.AssociatorBimod.inv_hom_idproof · cited by 5
- Bimod.AssociatorBimod.homAuxproof · cited by 5
- Bimod.AssociatorBimod.hom_inv_idproof · cited by 5
- Bimod.AssociatorBimod.hom_left_act_hom'statement and proof · cited by 5
- Bimod.AssociatorBimod.hom_right_act_hom'proof · cited by 5