Theorems · Definition · category theory
ModuleCat.MonModuleEquivalenceAlgebra.functor
{R : Type u} → [inst : CommRing R] → CategoryTheory.Functor (CategoryTheory.Mon (ModuleCat R)) (AlgCat R)Converting a monoid object in ModuleCat R to a bundled algebra.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AddMonoidHomproof · cited by 3,230
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- CategoryTheory.Monstatement and proof · cited by 465
- ModuleCat.Hom.homproof · cited by 341
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.Mon.Hom.homproof · cited by 200
Cited by4
Results whose statement or proof uses this declaration.
- ModuleCat.MonModuleEquivalenceAlgebra.functor_map_hom_applystatement and proof · cited by 0
- ModuleCat.MonModuleEquivalenceAlgebra.functor_obj_carrierstatement and proof · cited by 0
- ModuleCat.monModuleEquivalenceAlgebraproof · cited by 0
- ModuleCat.monModuleEquivalenceAlgebraForgetstatement · cited by 0