Theorems · Theorem · category theory
CategoryTheory.Limits.hasLimits_of_hasColimits_op
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C]
[CategoryTheory.Limits.HasColimitsOfSize.{v₂, u₂, v₁, u₁} Cᵒᵖ],
CategoryTheory.Limits.HasLimitsOfSize.{v₂, u₂, v₁, u₁} C- Defined in
- Mathlib.CategoryTheory.Limits.Opposites
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasColimitsOfSizestatement and proof · cited by 124
- CategoryTheory.Limits.HasLimitsOfSizestatement · cited by 71
- CategoryTheory.Limits.hasLimitsOfShape_of_hasColimitsOfShape_opproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.hasColimitsOfSize_opposite_iffproof · cited by 0