Theorems · Theorem · category theory
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso_inv_app_hom_app
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
[inst_2 : CategoryTheory.MonoidalCategory D] (X : CategoryTheory.Mon (CategoryTheory.Functor C D)) (x : C),
(CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso.inv.app X).hom.app x =
CategoryTheory.CategoryStruct.id (X.X.obj x)- Cited by
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- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
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