Theorems · Theorem · category theory

CategoryTheory.CopyDiscardCategory.copy_unit

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

Copy on the unit object.

Defined in: Mathlib.CategoryTheory.CopyDiscardCategory.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 4 from the axioms · uses no axioms
Assumes: CategoryTheory.CopyDiscardCategory

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Iso.invstatement · cited by 6,514
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement · cited by 437
CategoryTheory.ComonObj.comulstatement · cited by 71
CategoryTheory.CopyDiscardCategorystatement and proof · cited by 6

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