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Theorems · Definition · category theory

CategoryTheory.Limits.HasCountableLimits.casesOn

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {motive : CategoryTheory.Limits.HasCountableLimits C → Sort u} →
      (t : CategoryTheory.Limits.HasCountableLimits C) →
        ((out :
              ∀ (J : Type) [inst_1 : CategoryTheory.SmallCategory J] [CategoryTheory.CountableCategory J],
                CategoryTheory.Limits.HasLimitsOfShape J C) →
            motive ⋯) →
          motive t
Defined in
Mathlib.CategoryTheory.Limits.Shapes.Countable
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Foundations
Depth 11 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.SmallCategory · cited by 480CategoryTheory.SmallCateg…CategoryTheory.Limits.HasLimitsOfShape · cited by 223Limits.HasLimitsOfShapeCategoryTheory.CountableCategory · cited by 2CategoryTheory.CountableC…CategoryTheory.Limits.HasCountableLimits · cited by 1Limits.HasCountableLimitsHasCountableLimits.casesOnCITED BYCITES

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