Theorems · Definition · category theory

CategoryTheory.SubmonoidFunctor.comap

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

The submonoid functor defined by the preimage along a morphism of functors of monoids.

Defined in

Mathlib.CategoryTheory.Subfunctor.SubmonoidFunctor

Cited by

4 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category