Theorems · Theorem · category theory

CoalgCat.comonEquivalence_counitIso

∀ (R : Type u) [inst : CommRing R],
  (CoalgCat.comonEquivalence R).counitIso =
    CategoryTheory.NatIso.ofComponents
      (fun x => CategoryTheory.Iso.refl (((CoalgCat.ofComon R).comp (CoalgCat.toComon R)).obj x)) ⋯

Defined in: Mathlib.Algebra.Category.CoalgCat.ComonEquivalence
Cited by: 0 results in Mathlib
Foundations: Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Quiver.Homstatement · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CommRingstatement and proof · cited by 17,173
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Functor.idstatement · cited by 3,333
ModuleCatstatement · cited by 1,429
CategoryTheory.Iso.reflstatement · cited by 727
CategoryTheory.Equivalence.counitIsostatement and proof · cited by 480
CategoryTheory.NatIso.ofComponentsstatement · cited by 178
CategoryTheory.Comonstatement · cited by 125

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