Theorems · Definition · category theory

CategoryTheory.IsGroupoid.recOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.IsGroupoid C → Sort u_1} →
      (t : CategoryTheory.IsGroupoid C) →
        ((all_isIso : ∀ {X Y : C} (f : X ⟶ Y), CategoryTheory.IsIso f) → motive ⋯) → motive t

Defined in: Mathlib.CategoryTheory.Groupoid
Cited by: 0 results in Mathlib
Foundations: Depth 11 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.IsIsostatement and proof · cited by 1,156
CategoryTheory.IsGroupoidstatement and proof · cited by 7

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