Theorems · Theorem · category theory
CommHopfAlgCat.isoMk_inv
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} {x : CommRing X} {x_1 : CommRing Y} {x_2 : HopfAlgebra R X}
{x_3 : HopfAlgebra R Y} (e : X ≃ₐc[R] Y), (CommHopfAlgCat.isoMk e).inv = CommHopfAlgCat.ofHom ↑e.symm- Defined in
- Mathlib.Algebra.Category.CommHopfAlgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- BialgEquivstatement and proof · cited by 88
- HopfAlgebrastatement and proof · cited by 59
- CommHopfAlgCatstatement · cited by 38
- BialgHomClass.toBialgHomstatement · cited by 23
- BialgEquiv.symmstatement · cited by 21
- CommHopfAlgCat.ofHomstatement · cited by 11
- CommHopfAlgCat.isoMkstatement and proof · cited by 3
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