Theorems · Inductive type · category theory
CommBialgCat
(R : Type u) → [CommRing R] → Type (max u (v + 1))
The category of commutative R-bialgebras and their morphisms.
- Defined in
- Mathlib.Algebra.Category.CommBialgCat
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
Cited by63
Results whose statement or proof uses this declaration.
- CommBialgCat.carrierstatement and proof · cited by 33
- CommBialgCat.ofstatement · cited by 19
- CommBialgCat.Hom.homstatement and proof · cited by 14
- CommBialgCat.ofHomstatement · cited by 12
- commBialgCatEquivComonCommAlgCatstatement and proof · cited by 9
- CommBialgCat.bialgEquivOfIsostatement and proof · cited by 3
- CommBialgCat.isoMkstatement · cited by 3
- CommBialgCat.Homstatement · cited by 2
- CommBialgCat.isoEquivBialgEquivstatement · cited by 2
- CommBialgCat.ofIsoSelfstatement and proof · cited by 2
- CommBialgCat.Hom.extstatement and proof · cited by 2
- CommBialgCat.Hom.hom'statement and proof · cited by 2