Theorems · Theorem · category theory

commHopfAlgCatEquivCogrpCommAlgCat_unitIso_inv_app

∀ (R : Type u) [inst : CommRing R] (X : CommHopfAlgCat R),
  (commHopfAlgCatEquivCogrpCommAlgCat R).unitIso.inv.app X =
    CategoryTheory.CategoryStruct.id
      { X := ↑X, commRing := CommAlgCat.instCommRingObjForgetAlgHomCarrier,
        hopfAlgebra :=
          instHopfAlgebraCarrierUnopCommAlgCatOfGrpObjOpposite
            (Opposite.unop (Opposite.op { X := Opposite.op (CommAlgCat.of R ↑X), grp := CommAlgCat.grpObjOpOf })).X }

Defined in

Mathlib.Algebra.Category.CommHopfAlgCat

Cited by

0 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRing