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Theorems · Theorem · category theory

CategoryTheory.Limits.hasFiniteLimits_of_hasLimitsOfSize

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasLimitsOfSize.{v', u', v, u} C],
  CategoryTheory.Limits.HasFiniteLimits C
Defined in
Mathlib.CategoryTheory.Limits.Shapes.FiniteLimits
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasLimitsOfSize
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Around this declaration

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CategoryTheory.hasInitial_of_isCoseparating · cited by 2CategoryTheory.hasInitial…CategoryTheory.Limits.limitSubobjectProduct · cited by 0Limits.limitSubobjectProd…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceCategoryTheory.SmallCategory · cited by 480CategoryTheory.SmallCateg…CategoryTheory.FinCategory · cited by 107CategoryTheory.FinCategoryCategoryTheory.Limits.HasLimitsOfSize · cited by 71Limits.HasLimitsOfSizeCategoryTheory.Limits.HasFiniteLimits · cited by 36Limits.HasFiniteLimitsCategoryTheory.Limits.hasLimitsOfShape_of_equivalence · cited by 16Limits.hasLimitsOfShape_o…CategoryTheory.FinCategory.AsType · cited by 8FinCategory.AsTypeCategoryTheory.FinCategory.equivAsType · cited by 5FinCategory.equivAsTypeLimits.hasFiniteLimits_of_has…CITED BYCITES

Cites9

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Cited by2

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