Theorems · Definition · category theory

CategoryTheory.Grp.ofHom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      {A B : C} →
        [inst_2 : CategoryTheory.GrpObj A] →
          [inst_3 : CategoryTheory.GrpObj B] →
            (f : A ⟶ B) → [CategoryTheory.IsMonHom f] → { X := A, grp := inst_2 } ⟶ { X := B, grp := inst_3 }

Construct a morphism Grp.mk G ⟶ Grp.mk H from a map f : G ⟶ H and a IsMonHom f instance.

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

1 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.GrpObjCategoryTheory.GrpObjCategoryTheory.IsMonHom