Theorems · Theorem · category theory
CategoryTheory.MonObj.one_braiding
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] (X Y : C) [inst_3 : CategoryTheory.MonObj X]
[inst_4 : CategoryTheory.MonObj Y],
CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.one (β_ X Y).hom = CategoryTheory.MonObj.one- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
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 and proof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Iso.reflproof · cited by 727
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