Theorems · Theorem · category theory
CategoryTheory.Adjunction.has_colimits_of_equivalence
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(E : CategoryTheory.Functor C D) [E.IsEquivalence] [CategoryTheory.Limits.HasColimitsOfSize.{v, u, v₂, u₂} D],
CategoryTheory.Limits.HasColimitsOfSize.{v, u, v₁, u₁} CTransport a HasColimitsOfSize instance across an equivalence.
- Defined in
- Mathlib.CategoryTheory.Adjunction.Limits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Limits.HasColimitsOfSizestatement and proof · cited by 124
- CategoryTheory.Functor.IsEquivalencestatement and proof · cited by 111
- CategoryTheory.Adjunction.hasColimitsOfShape_of_equivalenceproof · cited by 4
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