Theorems · Theorem · category theory

CategoryTheory.Limits.image.ext

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y)
  [inst_1 : CategoryTheory.Limits.HasImage f] {W : C} {g h : CategoryTheory.Limits.image f ⟶ W}
  [CategoryTheory.Limits.HasLimit (CategoryTheory.Limits.parallelPair g h)],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.factorThruImage f) g =
      CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.factorThruImage f) h →
    g = h

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Images

Cited by

4 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasImageCategoryTheory.Limits.HasLimit