Theorems · Theorem · category theory
CategoryTheory.forgetAdjToOver_counit_app
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
(X Z : C), (CategoryTheory.forgetAdjToOver X).counit.app Z = CategoryTheory.SemiCartesianMonoidalCategory.fst Z X- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Adjunction.counitstatement and proof · cited by 376
- CategoryTheory.SemiCartesianMonoidalCategory.fststatement · cited by 184
- CategoryTheory.Over.forgetstatement · cited by 164
- CategoryTheory.toOverstatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.forgetAdjToOver.homEquiv_symmproof · cited by 0