Theorems · Theorem · category theory
CategoryTheory.equivEssImageOfReflective_unitIso
∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{i : CategoryTheory.Functor D C} [inst_2 : CategoryTheory.Reflective i],
CategoryTheory.equivEssImageOfReflective.unitIso =
(CategoryTheory.asIso (CategoryTheory.reflectorAdjunction i).counit).symm- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Iso.symmstatement · cited by 993
- CategoryTheory.Equivalence.unitIsostatement and proof · cited by 536
- CategoryTheory.Adjunction.counitstatement · cited by 376
- CategoryTheory.asIsostatement · cited by 177
- CategoryTheory.Functor.essImagestatement · cited by 82
- CategoryTheory.Reflectivestatement and proof · cited by 27
- CategoryTheory.Functor.EssImageSubcategorystatement · cited by 19
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