Theorems · Definition · category theory
CoalgCat.toComonObj
{R : Type u} → [inst : CommRing R] → CoalgCat R → CategoryTheory.Comon (ModuleCat R)An R-coalgebra is a comonoid object in the category of R-modules.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 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.
Cites7
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
- ModuleCatstatement · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- ModuleCat.ofproof · cited by 594
- CategoryTheory.Comonstatement · cited by 125
- CoalgCatstatement and proof · cited by 63
- CoalgCat.toModuleCatproof · cited by 51
Cited by4
Results whose statement or proof uses this declaration.
- CoalgCat.toComonproof · cited by 5
- CoalgCat.toComonObj_Xstatement and proof · cited by 0
- CoalgCat.toComon_map_homstatement · cited by 0
- CoalgCat.toComon_objstatement · cited by 0