Theorems · Theorem · category theory
CategoryTheory.GradedObject.Monoidal.symmetry_assoc
∀ {I : Type u_1} [inst : AddCommMonoid I] {C : Type u_2} [inst_1 : CategoryTheory.Category.{v_1, u_2} C]
[inst_2 : CategoryTheory.MonoidalCategory C] (X Y : CategoryTheory.GradedObject I C)
[inst_3 : CategoryTheory.SymmetricCategory C] [inst_4 : X.HasTensor Y] [inst_5 : Y.HasTensor X]
{Z : CategoryTheory.GradedObject I C} (h : CategoryTheory.GradedObject.Monoidal.tensorObj X Y ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.GradedObject.Monoidal.braiding X Y).hom
(CategoryTheory.CategoryStruct.comp (CategoryTheory.GradedObject.Monoidal.braiding Y X).hom h) =
h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- AddCommMonoidstatement and proof · cited by 12,281
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.GradedObjectstatement and proof · cited by 239
- CategoryTheory.GradedObject.Monoidal.tensorObjstatement and proof · cited by 54
- CategoryTheory.GradedObject.HasTensorstatement and proof · cited by 49
- CategoryTheory.SymmetricCategorystatement and proof · cited by 19
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