Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.braiding_inv_fst
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] (X Y : C),
CategoryTheory.CategoryStruct.comp (β_ X Y).inv (CategoryTheory.SemiCartesianMonoidalCategory.fst X Y) =
CategoryTheory.SemiCartesianMonoidalCategory.snd Y X- Cited by
- 3 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.homproof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.MonoidalCategoryStruct.leftUnitorproof · cited by 437
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.CartesianMonoidalCategory.tensorδ_fstproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.lift_braiding_invproof · cited by 1
- CategoryTheory.CartesianMonoidalCategory.braiding_inv_fst_assocproof · cited by 0