Theorems · Theorem · category theory
CategoryTheory.Bimon.mul_counit
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] (M : C) [inst_3 : CategoryTheory.BimonObj M],
CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.mul CategoryTheory.ComonObj.counit =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.MonoidalCategoryStruct.tensorHom CategoryTheory.ComonObj.counit CategoryTheory.ComonObj.counit)
(CategoryTheory.MonoidalCategoryStruct.leftUnitor (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 40 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 and proof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement and proof · cited by 587
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement and proof · cited by 437
- CategoryTheory.MonObj.mulstatement · cited by 230
- CategoryTheory.ComonObj.counitstatement and proof · cited by 67
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.HopfObj.antipode_counitproof · cited by 1
- CategoryTheory.Bimon.mul_counit_assocproof · cited by 0