Theorems · Definition · category theory
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
[inst_2 : CategoryTheory.MonoidalCategory D] →
CategoryTheory.Functor.id (CategoryTheory.Mon (CategoryTheory.Functor C D)) ≅
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functor.comp
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverseThe unit for the equivalence Mon (C ⥤ D) ≌ C ⥤ Mon D.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.Mon.Hom.mk'proof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Monoidal.monFunctorCategoryEquivalenceproof · cited by 11
- CategoryTheory.Monoidal.monFunctorCategoryEquivalence_unitIsostatement · cited by 0
- CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso_hom_app_hom_appstatement and proof · cited by 0
- CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso_inv_app_hom_appstatement and proof · cited by 0