Theorems · Theorem · category theory
CategoryTheory.representablyFlat_op_iff
∀ {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.RepresentablyFlat F.op ↔ CategoryTheory.RepresentablyCoflat F- Defined in
- Mathlib.CategoryTheory.Functor.Flat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.opstatement and proof · cited by 997
- CategoryTheory.CostructuredArrowproof · cited by 536
- CategoryTheory.StructuredArrowproof · cited by 370
- CategoryTheory.IsFilteredproof · cited by 210
- CategoryTheory.Equivalence.symmproof · cited by 195
- CategoryTheory.IsCofilteredproof · cited by 133
- CategoryTheory.Equivalence.opproof · cited by 57
- CategoryTheory.opOpEquivalenceproof · cited by 34
- CategoryTheory.RepresentablyFlatstatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.coflat_of_preservesFiniteColimitsproof · cited by 1