Mathlib Map

Theorems · Definition · category theory

CategoryTheory.SubmonoidFunctor.toSubfunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {M : CategoryTheory.Functor C MonCat} →
      CategoryTheory.SubmonoidFunctor M → CategoryTheory.Subfunctor (M.comp (CategoryTheory.forget MonCat))

The subfunctor associated to a functor of submonoids.

Defined in
Mathlib.CategoryTheory.Subfunctor.SubmonoidFunctor
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.SubmonoidFunctor.toSubfunctor_obj · cited by 0SubmonoidFunctor.toSubfun…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compMonoidHom · cited by 3629MonoidHomCategoryTheory.forget · cited by 418CategoryTheory.forgetSubsemigroup.carrier · cited by 160Subsemigroup.carrierSubmonoid.toSubsemigroup · cited by 159Submonoid.toSubsemigroupMonCat · cited by 127MonCatCategoryTheory.Subfunctor · cited by 112CategoryTheory.SubfunctorMonCat.carrier · cited by 107MonCat.carrierCategoryTheory.SubmonoidFunctor · cited by 29CategoryTheory.SubmonoidF…CategoryTheory.SubmonoidFunctor.obj · cited by 19SubmonoidFunctor.objCategoryTheory.SubmonoidFunctor.map · cited by 2SubmonoidFunctor.mapSubmonoidFunctor.toSubfunctorCITED BYCITES

Cites13

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.