Theorems · Definition · category theory

CategoryTheory.Limits.HasStrongEpiImages.recOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasImages C] →
      {motive : CategoryTheory.Limits.HasStrongEpiImages C → Sort u_1} →
        (t : CategoryTheory.Limits.HasStrongEpiImages C) →
          ((strong_factorThruImage :
                ∀ {X Y : C} (f : X ⟶ Y), CategoryTheory.StrongEpi (CategoryTheory.Limits.factorThruImage f)) →
              motive ⋯) →
            motive t

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Images
Cited by: 0 results in Mathlib
Foundations: Depth 10 from the axioms · uses Classical.choice
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasImages

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Limits.imagestatement · cited by 124
CategoryTheory.Limits.factorThruImagestatement and proof · cited by 55
CategoryTheory.Limits.HasImagesstatement and proof · cited by 37
CategoryTheory.StrongEpistatement and proof · cited by 21
CategoryTheory.Limits.HasStrongEpiImagesstatement and proof · cited by 1

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