Theorems · Theorem · category theory

CategoryTheory.Mod_.hom_ext

Deprecated since 2026-04-21Use CategoryTheory.Mod.hom_ext instead.

∀ {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} (f₁ f₂ : M ⟶ N), f₁.hom = f₂.hom → f₁ = f₂

Alias of CategoryTheory.Mod.hom_ext.

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.MonObj