Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isDetecting_unop_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (P : CategoryTheory.ObjectProperty Cᵒᵖ),
P.unop.IsDetecting ↔ P.IsCodetecting- Defined in
- Mathlib.CategoryTheory.Generator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.unopstatement and proof · cited by 29
- CategoryTheory.ObjectProperty.IsDetectingstatement · cited by 20
- CategoryTheory.ObjectProperty.IsCodetectingstatement · cited by 13
- CategoryTheory.ObjectProperty.isCodetecting_op_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.isDetector_unop_iffproof · cited by 1