Theorems · Theorem · category theory
CategoryTheory.coflat_of_preservesFiniteColimits
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
[CategoryTheory.Limits.HasFiniteColimits C] (F : CategoryTheory.Functor C D)
[CategoryTheory.Limits.PreservesFiniteColimits F], CategoryTheory.RepresentablyCoflat F- Defined in
- Mathlib.CategoryTheory.Functor.Flat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.opproof · cited by 997
- CategoryTheory.Limits.PreservesFiniteLimitsproof · cited by 121
- CategoryTheory.Limits.PreservesFiniteColimitsstatement and proof · cited by 102
- CategoryTheory.Limits.HasFiniteColimitsstatement and proof · cited by 34
- CategoryTheory.RepresentablyCoflatstatement · cited by 9
- CategoryTheory.flat_of_preservesFiniteLimitsproof · cited by 4
- CategoryTheory.representablyFlat_op_iffproof · cited by 1
- CategoryTheory.Limits.preservesFiniteLimits_opproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.preservesFiniteColimits_iff_coflatproof · cited by 0