Theorems · Inductive type · category theory
CategoryTheory.LeftRigidCategory
(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.MonoidalCategory C] → Type (max u v)A left rigid monoidal category is one in which every object has a right dual.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
Cited by21
Results whose statement or proof uses this declaration.
- CategoryTheory.leftDualFunctorstatement and proof · cited by 2
- CategoryTheory.LeftRigidCategory.casesOnstatement and proof · cited by 0
- CategoryTheory.LeftRigidCategory.ctorIdxstatement and proof · cited by 0
- CategoryTheory.LeftRigidCategory.noConfusionstatement and proof · cited by 0
- CategoryTheory.LeftRigidCategory.noConfusionTypestatement and proof · cited by 0
- CategoryTheory.LeftRigidCategory.recOnstatement and proof · cited by 0
- CategoryTheory.RigidCategory.casesOnstatement and proof · cited by 0
- CategoryTheory.RigidCategory.noConfusionproof · cited by 0
- CategoryTheory.RigidCategory.noConfusionTypeproof · cited by 0
- CategoryTheory.RigidCategory.recOnstatement and proof · cited by 0
- CategoryTheory.RigidCategory.mk.noConfusionstatement and proof · cited by 0
- CategoryTheory.BraidedCategory.leftRigidCategoryOfRightRigidCategorystatement · cited by 0