Theorems · Theorem · category theory
CommAlgCat.inv_op_of_unop_hom
∀ {R : Type u} [inst : CommRing R] {A : Type u} [inst_1 : CommRing A] [inst_2 : HopfAlgebra R A],
CommAlgCat.Hom.hom CategoryTheory.GrpObj.inv.unop = HopfAlgebra.antipodeAlgHom R A- Defined in
- Mathlib.Algebra.Category.CommHopfAlgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingCommRingHopfAlgebra
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Oppositestatement · cited by 8,081
- AlgHomstatement · cited by 3,236
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.unopstatement · cited by 903
- CommAlgCatstatement · cited by 96
- CommAlgCat.carrierstatement · cited by 77
- HopfAlgebrastatement and proof · cited by 59
- CategoryTheory.GrpObj.invstatement · cited by 50
- CommAlgCat.Hom.homstatement · cited by 39
- CommAlgCat.ofstatement · cited by 33
- HopfAlgebra.antipodeAlgHomstatement · cited by 5
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