Theorems · Inductive type · category theory
MonCat
Type (u + 1)
The category of monoids and monoid morphisms.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 127 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by253
Results whose statement or proof uses this declaration.
- MonCat.carrierstatement and proof · cited by 107
- MonCat.Hom.homstatement and proof · cited by 38
- CategoryTheory.SubmonoidFunctorstatement · cited by 29
- MonCat.ofHomstatement · cited by 24
- MonCat.ofstatement · cited by 22
- CategoryTheory.SubmonoidFunctor.objstatement and proof · cited by 19
- MonCat.Colimits.Prequotientstatement · cited by 12
- CategoryTheory.yonedaMonObjstatement · cited by 12
- CategoryTheory.yonedaMonstatement · cited by 10
- CategoryTheory.SubmonoidFunctor.imagestatement and proof · cited by 8
- CategoryTheory.SubmonoidFunctor.toFunctorstatement and proof · cited by 8
- MonCat.FilteredColimits.Mstatement and proof · cited by 8
Showing the 200 most cited of 253.