Theorems · Definition · category theory
CoalgCat.toComon
(R : Type u) → [inst : CommRing R] → CategoryTheory.Functor (CoalgCat R) (CategoryTheory.Comon (ModuleCat R))
The natural functor from R-coalgebras to comonoid objects in the category of R-modules.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 81 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- ModuleCatstatement · cited by 1,429
- ModuleCat.ofHomproof · cited by 200
- CategoryTheory.Comonstatement · cited by 125
- SemilinearMapClass.semilinearMapproof · cited by 80
- CoalgCatstatement and proof · cited by 63
- CoalgCat.Hom.toCoalgHom'proof · cited by 11
- CoalgCat.toComonObjproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- CoalgCat.comonEquivalenceproof · cited by 13
- CoalgCat.toComon_objstatement and proof · cited by 0
- CoalgCat.comonEquivalence_counitIsostatement · cited by 0
- CoalgCat.comonEquivalence_functorstatement · cited by 0
- CoalgCat.comonEquivalence_unitIsostatement · cited by 0
- CoalgCat.toComon_map_homstatement and proof · cited by 0