Theorems · Definition · category theory

CategoryTheory.Limits.HasStrictTerminalObjects.casesOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.Limits.HasStrictTerminalObjects C → Sort u_1} →
      (t : CategoryTheory.Limits.HasStrictTerminalObjects C) →
        ((out : ∀ {I A : C} (f : I ⟶ A) (a : CategoryTheory.Limits.IsTerminal I), CategoryTheory.IsIso f) → motive ⋯) →
          motive t

Defined in: Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
Cited by: 0 results in Mathlib
Foundations: Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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.Limits.IsTerminalstatement and proof · cited by 153
CategoryTheory.Limits.HasStrictTerminalObjectsstatement and proof · cited by 17

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