Theorems · Theorem · category theory
CategoryTheory.Adjunction.has_limits_of_equivalence
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(E : CategoryTheory.Functor D C) [E.IsEquivalence] [CategoryTheory.Limits.HasLimitsOfSize.{v, u, v₁, u₁} C],
CategoryTheory.Limits.HasLimitsOfSize.{v, u, v₂, u₂} DTransport a HasLimitsOfSize instance across an equivalence.
- Defined in
- Mathlib.CategoryTheory.Adjunction.Limits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.IsEquivalencestatement and proof · cited by 111
- CategoryTheory.Limits.HasLimitsOfSizestatement and proof · cited by 71
- CategoryTheory.Adjunction.hasLimitsOfShape_of_equivalenceproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.hasLimitsEssentiallySmallSiteproof · cited by 0