Theorems · Theorem · category theory
CategoryTheory.Comon.ComonToMonOpOpObj_mon_one
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
(A : CategoryTheory.Comon C), CategoryTheory.MonObj.one = CategoryTheory.ComonObj.counit.op- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.MonObj.onestatement and proof · cited by 189
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xstatement · cited by 105
- CategoryTheory.ComonObj.counitstatement · cited by 67
- CategoryTheory.Comon.ComonToMonOpOpObjstatement · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- CoalgCat.MonoidalCategoryAux.counit_tensorObjproof · cited by 0
- CoalgCat.MonoidalCategoryAux.counit_tensorObj_tensorObj_leftproof · cited by 0
- CoalgCat.MonoidalCategoryAux.counit_tensorObj_tensorObj_rightproof · cited by 0