Theorems · Theorem · category theory
CategoryTheory.MarkovCategory.discard_natural_assoc
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.MonoidalCategory C}
[self : CategoryTheory.MarkovCategory C] {X Y : C} (f : X ⟶ Y) {Z : C}
(h : CategoryTheory.MonoidalCategoryStruct.tensorUnit C ⟶ Z),
CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp CategoryTheory.ComonObj.counit h) =
CategoryTheory.CategoryStruct.comp CategoryTheory.ComonObj.counit hProcess then discard equals discard directly.
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- Depth 6 from the axioms · uses Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.ComonObj.counitstatement and proof · cited by 67
- CategoryTheory.MarkovCategorystatement and proof · cited by 3
- CategoryTheory.MarkovCategory.discard_naturalproof · cited by 2
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