Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isCodetecting_op_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (P : CategoryTheory.ObjectProperty C),
P.op.IsCodetecting ↔ P.IsDetecting- Defined in
- Mathlib.CategoryTheory.Generator.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement and proof · cited by 8,081
- Opposite.unopproof · cited by 2,231
- Quiver.Hom.opproof · cited by 1,948
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- ExistsUniqueproof · cited by 268
- Quiver.Hom.op_injproof · cited by 45
- CategoryTheory.ObjectProperty.opstatement and proof · cited by 42
- Quiver.Hom.unop_injproof · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.isCodetector_op_iffproof · cited by 1
- CategoryTheory.ObjectProperty.isDetecting_unop_iffproof · cited by 1