Theorems · Theorem · category theory

CategoryTheory.Localization.Construction.NatTransExtension.app_eq

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] {W : CategoryTheory.MorphismProperty C} {D : Type uD}
  [inst_1 : CategoryTheory.Category.{uD', uD} D] {F₁ F₂ : CategoryTheory.Functor W.Localization D}
  (τ : W.Q.comp F₁ ⟶ W.Q.comp F₂) (X : C),
  CategoryTheory.Localization.Construction.NatTransExtension.app τ (W.Q.obj X) = τ.app X

Defined in

Mathlib.CategoryTheory.Localization.Construction

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category