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Theorems · Theorem · category theory

CategoryTheory.IsCardinalFiltered.nonempty

∀ (J : Type u) [inst : CategoryTheory.Category.{v, u} J] (κ : Cardinal.{w}) [hκ : Fact κ.IsRegular]
  [CategoryTheory.IsCardinalFiltered J κ], Nonempty J
Defined in
Mathlib.CategoryTheory.Presentable.IsCardinalFiltered
Cited by
0 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryFactCategoryTheory.IsCardinalFiltered
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryFact · cited by 2726FactCardinal · cited by 2598CardinalCardinal.IsRegular · cited by 282Cardinal.IsRegularCategoryTheory.IsFiltered · cited by 210CategoryTheory.IsFilteredCategoryTheory.IsCardinalFiltered · cited by 69CategoryTheory.IsCardinal…CategoryTheory.isFiltered_of_isCardinalFiltered · cited by 18CategoryTheory.isFiltered…CategoryTheory.IsFiltered.nonempty · cited by 10IsFiltered.nonemptyIsCardinalFiltered.nonemptyCITED BYCITES

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