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Theorems · Definition · category theory

CategoryTheory.CommComon.toComon

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.CommComon C → CategoryTheory.Comon C

A commutative comonoid object is a comonoid object.

Defined in
Mathlib.CategoryTheory.Monoidal.CommComon_
Cited by
6 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory
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Around this declaration

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

CategoryTheory.CommComon.forget₂Comon · cited by 3CommComon.forget₂ComonCategoryTheory.CommComon.hom_ext · cited by 1CommComon.hom_extCategoryTheory.CommComon.comp_hom · cited by 0CommComon.comp_homCategoryTheory.CommComon.forget₂Comon_map · cited by 0CommComon.forget₂Comon_mapCategoryTheory.CommComon.hom_ext_iff · cited by 0CommComon.hom_ext_iffCategoryTheory.CommComon.id_hom · cited by 0CommComon.id_homCategoryTheory.CommComon.toComon_X · cited by 0CommComon.toComon_XCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.Comon · cited by 125CategoryTheory.ComonCategoryTheory.CommComon · cited by 11CategoryTheory.CommComonCategoryTheory.CommComon.X · cited by 5CommComon.XCommComon.toComonCITED BYCITES

Cites6

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Cited by7

Results whose statement or proof uses this declaration.