Theorems · Theorem · category theory
CategoryTheory.preservesFiniteColimits_of_coflat
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D) [CategoryTheory.RepresentablyCoflat F],
CategoryTheory.Limits.PreservesFiniteColimits FRepresentably coflat functors preserve finite colimits.
- Defined in
- Mathlib.CategoryTheory.Functor.Flat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.Limits.PreservesFiniteColimitsstatement · cited by 102
- CategoryTheory.RepresentablyCoflatstatement and proof · cited by 9
- CategoryTheory.Limits.preservesFiniteColimits_of_opproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.preservesFiniteColimits_iff_coflatproof · cited by 0