Theorems · Theorem · category theory
CategoryTheory.Limits.hasLimitsOfSize_opposite_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C],
CategoryTheory.Limits.HasLimitsOfSize.{v₂, u₂, v₁, u₁} Cᵒᵖ ↔
CategoryTheory.Limits.HasColimitsOfSize.{v₂, u₂, v₁, u₁} C- Defined in
- Mathlib.CategoryTheory.Limits.Opposites
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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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 and proof · cited by 71
- CategoryTheory.Limits.hasColimits_of_hasLimits_opproof · cited by 1
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