Theorems · Definition · category theory

CategoryTheory.StrongMonoCategory.casesOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.StrongMonoCategory C → Sort u_1} →
      (t : CategoryTheory.StrongMonoCategory C) →
        ((strongMono_of_mono : ∀ {X Y : C} (f : X ⟶ Y) [CategoryTheory.Mono f], CategoryTheory.StrongMono f) →
            motive ⋯) →
          motive t

Defined in: Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
Cited by: 0 results in Mathlib
Foundations: Depth 5 from the axioms · uses no axioms
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Monostatement and proof · cited by 893
CategoryTheory.StrongMonostatement and proof · cited by 11
CategoryTheory.StrongMonoCategorystatement and proof · cited by 2

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