Theorems · Theorem · category theory

CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.lift.congr_simp

∀ {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] {L : CategoryTheory.Functor C D}
  {W : CategoryTheory.MorphismProperty C} {E : Type u_3} [inst_2 : CategoryTheory.Category.{v_3, u_3} E]
  (self self_1 : CategoryTheory.Localization.StrictUniversalPropertyFixedTarget L W E),
  self = self_1 →
    ∀ (F F_1 : CategoryTheory.Functor C E) (e_F : F = F_1) (x : W.IsInvertedBy F), self.lift F x = self_1.lift F_1 ⋯

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

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Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category