Theorems · Definition · category theory
MonCat.carrier
MonCat → Type u
The underlying type.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 107 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonCatstatement and proof · cited by 127
Cited by181
Results whose statement or proof uses this declaration.
- MonCat.Hom.homstatement · cited by 38
- CategoryTheory.SubmonoidFunctor.objstatement · cited by 19
- CategoryTheory.SubmonoidFunctor.toFunctorproof · cited by 8
- CategoryTheory.MonObj.ofRepresentableBystatement · cited by 7
- MonCat.shrinkFunctorstatement and proof · cited by 6
- AddMonCat.equivalenceproof · cited by 6
- MonCat.FilteredColimits.M.mkstatement and proof · cited by 6
- GrpCat.FilteredColimits.G.mkstatement · cited by 5
- MonCat.FilteredColimits.M.mk_eqstatement and proof · cited by 5
- CategoryTheory.SubmonoidFunctor.comapproof · cited by 4
- CategoryTheory.SubmonoidFunctor.extstatement and proof · cited by 4
- MonCat.unitsproof · cited by 3