Theorems · Theorem · category theory

CategoryTheory.Limits.HasColimitsOfShape.of_essentiallySmall

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasColimitsOfSize.{v₁, u₁, v, u} C]
  (J : Type u₂) [inst_2 : CategoryTheory.Category.{v₂, u₂} J] [CategoryTheory.EssentiallySmall.{u₁, v₂, u₂} J]
  [CategoryTheory.LocallySmall.{v₁, v₂, u₂} J], CategoryTheory.Limits.HasColimitsOfShape J C

Defined in: Mathlib.CategoryTheory.Limits.HasLimits
Cited by: 0 results in Mathlib
Foundations: Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasColimitsOfSize CategoryTheory.Category CategoryTheory.EssentiallySmall CategoryTheory.LocallySmall

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Limits.HasColimitsOfShapestatement and proof · cited by 308
CategoryTheory.LocallySmallstatement and proof · cited by 242
CategoryTheory.Equivalence.symmproof · cited by 195
CategoryTheory.Limits.HasColimitsOfSizestatement and proof · cited by 124
CategoryTheory.EssentiallySmallstatement and proof · cited by 42
CategoryTheory.Limits.hasColimitsOfShape_of_equivalenceproof · cited by 22
CategoryTheory.equivSmallModelproof · cited by 20
CategoryTheory.SmallModelproof · cited by 15
CategoryTheory.Limits.HasColimitsOfShape.of_smallproof · cited by 1

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