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Theorems · Definition · category theory

CategoryTheory.CommComon.X

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

The underlying object in the ambient monoidal category

Defined in
Mathlib.CategoryTheory.Monoidal.CommComon_
Cited by
5 results in Mathlib
Foundations
Depth 4 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.toComon · cited by 6CommComon.toComonCategoryTheory.CommComon.toComon_X · cited by 0CommComon.toComon_XCategoryTheory.CommComon.forget₂Comon_obj_X · cited by 0CommComon.forget₂Comon_ob…CategoryTheory.CommComon.forget₂Comon_obj_comon · cited by 0CommComon.forget₂Comon_ob…CategoryTheory.CommComon.trivial_X · cited by 0CommComon.trivial_XCategoryTheory.CommComon.id_hom · cited by 0CommComon.id_homCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.CommComon · cited by 11CategoryTheory.CommComonCommComon.XCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.