Theorems · Theorem · category theory
commBialgCatEquivComonCommAlgCat_functor_map_unop_hom
∀ {R : Type u} [inst : CommRing R] {A B : CommBialgCat R} (f : A ⟶ B),
((commBialgCatEquivComonCommAlgCat R).functor.map f).unop.hom = (CommAlgCat.ofHom ↑(CommBialgCat.Hom.hom f)).op- Defined in
- Mathlib.Algebra.Category.CommBialgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Oppositestatement · cited by 8,081
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.Mon.Hom.homstatement · cited by 200
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