Theorems · Definition · category theory
CoalgCat.Hom.toCoalgHom
{R : Type u} → [inst : CommRing R] → {X Y : CoalgCat R} → X.Hom Y → ↑X.toModuleCat →ₗc[R] ↑Y.toModuleCatTurn a morphism in CoalgCat back into a CoalgHom.
- Defined in
- Mathlib.Algebra.Category.CoalgCat.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, 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
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- ModuleCat.carrierstatement · cited by 997
- CoalgHomstatement · cited by 105
- CoalgCatstatement and proof · cited by 63
- CoalgCat.toModuleCatstatement · cited by 51
- CoalgCat.Homstatement and proof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Iso.toCoalgEquivproof · cited by 4
- CoalgCat.hom_extstatement and proof · cited by 1
- CategoryTheory.Iso.toCoalgEquiv_toCoalgHomstatement · cited by 0
- CoalgCat.forget₂_mapstatement · cited by 0
- CoalgCat.hom_ext_iffstatement and proof · cited by 0
- CoalgCat.toCoalgHom_compstatement · cited by 0
- CoalgCat.toCoalgHom_idstatement · cited by 0