Theorems · Theorem · category theory
CategoryTheory.Deterministic.discard_natural
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.CopyDiscardCategory C] {X Y : C} (f : X ⟶ Y) [CategoryTheory.Deterministic f],
CategoryTheory.CategoryStruct.comp f CategoryTheory.ComonObj.counit = CategoryTheory.ComonObj.counitDeterministic morphisms commute with discarding.
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- Depth 5 from the axioms · uses no axioms
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.ComonObj.counitstatement · cited by 67
- CategoryTheory.CopyDiscardCategorystatement and proof · cited by 6
- CategoryTheory.Deterministicstatement and proof · cited by 4
- CategoryTheory.IsComonHom.hom_counitproof · cited by 4
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