Theorems · Theorem · category theory
CategoryTheory.isCodetector_op_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (G : C),
CategoryTheory.IsCodetector (Opposite.op G) ↔ CategoryTheory.IsDetector G- Defined in
- Mathlib.CategoryTheory.Generator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.ObjectPropertyproof · cited by 798
- CategoryTheory.ObjectProperty.IsDetectingproof · cited by 20
- CategoryTheory.ObjectProperty.singletonproof · cited by 20
- CategoryTheory.IsDetectorstatement · cited by 15
- CategoryTheory.IsCodetectorstatement and proof · cited by 14
- CategoryTheory.ObjectProperty.IsCodetectingproof · cited by 13
- CategoryTheory.ObjectProperty.op_singletonproof · cited by 4
- CategoryTheory.ObjectProperty.isCodetecting_op_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.hasCodetector_op_iffproof · cited by 0