Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.CopyDiscardCategory.discard_unit

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.MonoidalCategory C}
  [self : CategoryTheory.CopyDiscardCategory C],
  CategoryTheory.ComonObj.counit = CategoryTheory.CategoryStruct.id (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)

Discard on the unit object.

Defined in
Mathlib.CategoryTheory.CopyDiscardCategory.Basic
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CopyDiscardCategory
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.MarkovCategory.eq_discard · cited by 0MarkovCategory.eq_discardCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.ComonObj.counit · cited by 67ComonObj.counitCategoryTheory.CopyDiscardCategory · cited by 6CategoryTheory.CopyDiscar…CopyDiscardCategory.discard_u…CITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.