Theorems · Theorem · category theory
CategoryTheory.MarkovCategory.discard_natural
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.MonoidalCategory C}
[self : CategoryTheory.MarkovCategory C] {X Y : C} (f : X ⟶ Y),
CategoryTheory.CategoryStruct.comp f CategoryTheory.ComonObj.counit = CategoryTheory.ComonObj.counitProcess then discard equals discard directly.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · 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.MarkovCategorystatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MarkovCategory.eq_discardproof · cited by 0
- CategoryTheory.MarkovCategory.discard_natural_assocproof · cited by 0