Theorems · Theorem · category theory
CategoryTheory.leftUnitor_inv_braiding
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] (X : C),
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.leftUnitor X).inv
(β_ (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) X).hom =
(CategoryTheory.MonoidalCategoryStruct.rightUnitor X).inv- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement and proof · cited by 437
- CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement and proof · cited by 397
- CategoryTheory.Iso.inv_hom_id_assocproof · cited by 275
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.tensor_left_unitalityproof · cited by 3
- CategoryTheory.leftUnitor_inv_braiding_assocproof · cited by 0