Theorems · Definition · category theory
CoalgCat.ofComon
(R : Type u) → [inst : CommRing R] → CategoryTheory.Functor (CategoryTheory.Comon (ModuleCat R)) (CoalgCat R)
The natural functor from comonoid objects in the category of R-modules to R-coalgebras.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 80 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- LinearMapproof · cited by 10,215
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- ModuleCat.Hom.homproof · cited by 341
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xproof · cited by 105
- CoalgCatstatement · cited by 63
- CategoryTheory.Comon.Hom.homproof · cited by 55
Cited by4
Results whose statement or proof uses this declaration.
- CoalgCat.comonEquivalenceproof · cited by 13
- CoalgCat.comonEquivalence_counitIsostatement · cited by 0
- CoalgCat.comonEquivalence_inversestatement · cited by 0
- CoalgCat.comonEquivalence_unitIsostatement · cited by 0