Theorems · Definition · category theory
CategoryTheory.SubmonoidFunctor.toFunctor
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{M : CategoryTheory.Functor C MonCat} → CategoryTheory.SubmonoidFunctor M → CategoryTheory.Functor C MonCatThe functor of monoids associated to a functor of submonoids.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- MonoidHom.compproof · cited by 469
- MonCatstatement and proof · cited by 127
- MonCat.carrierproof · cited by 107
- MonCat.Hom.homproof · cited by 38
- CategoryTheory.SubmonoidFunctorstatement and proof · cited by 29
- MonCat.ofHomproof · cited by 24
- MonCat.ofproof · cited by 22
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.SubmonoidFunctor.ιstatement · cited by 4
- CategoryTheory.SubmonoidFunctor.liftstatement · cited by 4
- CategoryTheory.SubmonoidFunctor.lift_ιstatement · cited by 1
- CategoryTheory.SubmonoidFunctor.toFunctor_mapstatement and proof · cited by 0
- CategoryTheory.SubmonoidFunctor.toFunctor_objstatement and proof · cited by 0
- CategoryTheory.SubmonoidFunctor.ι_appstatement · cited by 0
- CategoryTheory.SubmonoidFunctor.image_comap_ιstatement · cited by 0
- CategoryTheory.SubmonoidFunctor.lift.congr_simpstatement · cited by 0
- CategoryTheory.SubmonoidFunctor.lift_appstatement · cited by 0
- CategoryTheory.SubmonoidFunctor.lift_ι_assocstatement · cited by 0