Theorems · Definition · category theory

CategoryTheory.Limits.HasFiniteWidePullbacks.casesOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.Limits.HasFiniteWidePullbacks C → Sort u_1} →
      (t : CategoryTheory.Limits.HasFiniteWidePullbacks C) →
        ((out :
              ∀ (J : Type) [Finite J],
                CategoryTheory.Limits.HasLimitsOfShape (CategoryTheory.Limits.WidePullbackShape J) C) →
            motive ⋯) →
          motive t

Defined in: Mathlib.CategoryTheory.Limits.Shapes.FiniteLimits
Cited by: 0 results in Mathlib
Foundations: Depth 16 from the axioms · uses no axioms
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
Finitestatement and proof · cited by 3,029
CategoryTheory.Limits.HasLimitsOfShapestatement and proof · cited by 223
CategoryTheory.Limits.WidePullbackShapestatement and proof · cited by 94
CategoryTheory.Limits.HasFiniteWidePullbacksstatement and proof · cited by 6

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