Theorems · Theorem · category theory

CategoryTheory.Localization.natTrans_ext

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] {E : Type u_3} [inst_2 : CategoryTheory.Category.{v_3, u_3} E]
  (L : CategoryTheory.Functor C D) (W : CategoryTheory.MorphismProperty C) [L.IsLocalization W]
  {F₁ F₂ : CategoryTheory.Functor D E} {τ τ' : F₁ ⟶ F₂}, (∀ (X : C), τ.app (L.obj X) = τ'.app (L.obj X)) → τ = τ'

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

7 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalization