Theorems · Definition · category theory
AddCommMonCat.free
CategoryTheory.Functor (Type u) AddCommMonCat
The free functor Type u ⥤ AddCommMonCat
sending a type X to the free commutative monoid on X.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CategoryTheory.Functorstatement · cited by 16,252
- Finsuppproof · cited by 5,255
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AddCommMonCatstatement · cited by 50
- AddCommMonCat.ofproof · cited by 20
- Finsupp.mapDomain.addMonoidHomproof · cited by 19
- AddCommMonCat.ofHomproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- AddCommMonCat.free_mapstatement and proof · cited by 0
- AddCommMonCat.free_obj_coestatement and proof · cited by 0
- AddCommMonCat.adjstatement · cited by 0