Theorems · Definition · category theory
CategoryTheory.Functor.Braided.noConfusionType
Sort u →
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
{D : Type u₂} →
[inst_3 : CategoryTheory.Category.{v₂, u₂} D] →
[inst_4 : CategoryTheory.MonoidalCategory D] →
[inst_5 : CategoryTheory.BraidedCategory D] →
{F : CategoryTheory.Functor C D} →
F.Braided →
{C' : Type u₁} →
[inst' : CategoryTheory.Category.{v₁, u₁} C'] →
[inst'_1 : CategoryTheory.MonoidalCategory C'] →
[inst'_2 : CategoryTheory.BraidedCategory C'] →
{D' : Type u₂} →
[inst'_3 : CategoryTheory.Category.{v₂, u₂} D'] →
[inst'_4 : CategoryTheory.MonoidalCategory D'] →
[inst'_5 : CategoryTheory.BraidedCategory D'] →
{F' : CategoryTheory.Functor C' D'} → F'.Braided → Sort u- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Functor.Monoidalproof · cited by 288
- CategoryTheory.Functor.LaxMonoidal.μproof · cited by 285
- CategoryTheory.BraidedCategory.braidingproof · cited by 257
- CategoryTheory.Functor.Braidedstatement and proof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.Braided.noConfusionstatement · cited by 0