Theorems · Definition · category theory
BialgCat.MonoidalCategory.inducingFunctorData
(R : Type u) → [inst : CommRing R] → CategoryTheory.Monoidal.InducingFunctorData (CategoryTheory.forget₂ (BialgCat R) (AlgCat R))
The data needed to induce a MonoidalCategory structure via
BialgCat.instMonoidalCategoryStruct and the forgetful functor to algebras.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- AlgHomstatement · cited by 3,236
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitproof · cited by 1,384
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.forget₂statement and proof · cited by 260
- BialgHomstatement · cited by 190
- AlgCatstatement and proof · cited by 75
- AlgCat.carrierstatement · cited by 61
- BialgCatstatement and proof · cited by 40
Cited by2
Results whose statement or proof uses this declaration.
- BialgCat.MonoidalCategory.inducingFunctorData_εIsostatement and proof · cited by 0
- BialgCat.MonoidalCategory.inducingFunctorData_μIsostatement and proof · cited by 0