Theorems · Theorem · category theory
CategoryTheory.Limits.hasFiniteColimits_opposite_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C],
CategoryTheory.Limits.HasFiniteColimits Cᵒᵖ ↔ CategoryTheory.Limits.HasFiniteLimits C- Defined in
- Mathlib.CategoryTheory.Limits.Opposites
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites7
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.SmallCategoryproof · cited by 480
- CategoryTheory.FinCategoryproof · cited by 107
- CategoryTheory.Limits.HasFiniteLimitsstatement and proof · cited by 36
- CategoryTheory.Limits.HasFiniteColimitsstatement and proof · cited by 34
- CategoryTheory.Limits.hasLimitsOfShape_of_hasColimitsOfShape_opproof · cited by 6
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