Theorems · Theorem · category theory
CategoryTheory.eHomEquiv_id
∀ (V : Type u') [inst : CategoryTheory.Category.{v', u'} V] [inst_1 : CategoryTheory.MonoidalCategory V] {C : Type u}
[inst_2 : CategoryTheory.Category.{v, u} C] [inst_3 : CategoryTheory.EnrichedOrdinaryCategory V C] (X : C),
(CategoryTheory.eHomEquiv V) (CategoryTheory.CategoryStruct.id X) = CategoryTheory.eId V X- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- Equivstatement · cited by 8,337
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.EnrichedCategory.Homstatement · cited by 114
- CategoryTheory.EnrichedOrdinaryCategorystatement and proof · cited by 109
- CategoryTheory.eIdstatement · cited by 25
- CategoryTheory.eHomEquivstatement · cited by 25
- CategoryTheory.EnrichedOrdinaryCategory.homEquiv_idproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.eHomWhiskerLeft_idproof · cited by 6
- CategoryTheory.eHomWhiskerRight_idproof · cited by 5
- CategoryTheory.Enriched.FunctorCategory.enrichedId_πproof · cited by 4
- CategoryTheory.CatEnrichedOrdinary.homEquiv_idproof · cited by 2