Theorems · Theorem · category theory

CategoryTheory.Mod.comap_map_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D]
  {A B : C} [inst_4 : CategoryTheory.MonObj A] [inst_5 : CategoryTheory.MonObj B] (f : A ⟶ B)
  [inst_6 : CategoryTheory.IsMonHom f] {M N : CategoryTheory.Mod D B} (g : M ⟶ N),
  ((CategoryTheory.Mod.comap f).map g).hom = g.hom

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.MonObjCategoryTheory.MonObjCategoryTheory.IsMonHom