Theorems · Theorem · category theory

CategoryTheory.Mod.Hom.mk.injEq

∀ {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 : C} [inst_4 : CategoryTheory.MonObj A] {M N : CategoryTheory.Mod D A} (hom : M.X ⟶ N.X)
  [isModHom : CategoryTheory.IsModHom A hom] (hom_1 : M.X ⟶ N.X) (isModHom_1 : CategoryTheory.IsModHom A hom_1),
  ({ hom := hom, isModHom := isModHom } = { hom := hom_1, isModHom := isModHom_1 }) = (hom = hom_1)

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.MonObjCategoryTheory.IsModHom