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Theorems · Theorem · category theory

CategoryTheory.BimonObj.one_comul

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C}
  {inst_2 : CategoryTheory.BraidedCategory C} (M : C) [self : CategoryTheory.BimonObj M],
  CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.one CategoryTheory.ComonObj.comul = CategoryTheory.MonObj.one
Defined in
Mathlib.CategoryTheory.Monoidal.Bimon_
Cited by
3 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.BimonObj
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.HopfObj.antipode_comul₁ · cited by 1HopfObj.antipode_comul₁CategoryTheory.Bimon.one_comul · cited by 1Bimon.one_comulCategoryTheory.BimonObj.one_comul_assoc · cited by 0BimonObj.one_comul_assocCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.MonObj.one · cited by 189MonObj.oneCategoryTheory.ComonObj.comul · cited by 71ComonObj.comulCategoryTheory.BimonObj · cited by 16CategoryTheory.BimonObjBimonObj.one_comulCITED BYCITES

Cites10

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Cited by3

Results whose statement or proof uses this declaration.