Theorems · Definition · category theory
CommBialgCat.of
(R : Type u) → [inst : CommRing R] → (X : Type v) → [inst_1 : CommRing X] → [Bialgebra R X] → CommBialgCat R
Turn an unbundled R-bialgebra into the corresponding object in the category of R-bialgebras.
This is the preferred way to construct a term of CommBialgCat R.
- Defined in
- Mathlib.Algebra.Category.CommBialgCat
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Bialgebrastatement and proof · cited by 160
- CommBialgCatstatement · cited by 38
Cited by25
Results whose statement or proof uses this declaration.
- CommBialgCat.ofHomstatement · cited by 12
- commBialgCatEquivComonCommAlgCatproof · cited by 9
- CommBialgCat.isoMkstatement · cited by 3
- CommBialgCat.ofIsoSelfstatement · cited by 2
- CommBialgCat.isoEquivBialgEquivstatement · cited by 2
- AlgebraicGeometry.one_defstatement · cited by 0
- CommBialgCat.ofHom_applystatement · cited by 0
- CommBialgCat.ofHom_compstatement · cited by 0
- CommBialgCat.ofHom_homstatement · cited by 0
- CommBialgCat.ofHom_idstatement · cited by 0
- CommBialgCat.ofIsoSelf_homstatement · cited by 0
- CommBialgCat.ofIsoSelf_invstatement · cited by 0