Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isCodetecting_iff_isCoseparating
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.ObjectProperty C}
[CategoryTheory.Limits.HasCoequalizers C] [CategoryTheory.Balanced C], P.IsCodetecting ↔ P.IsCoseparating- Defined in
- Mathlib.CategoryTheory.Generator.Basic
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- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Balancedstatement and proof · cited by 61
- CategoryTheory.Limits.HasCoequalizersstatement and proof · cited by 60
- CategoryTheory.ObjectProperty.IsCoseparatingstatement · cited by 28
- CategoryTheory.ObjectProperty.IsCodetectingstatement · cited by 13
- CategoryTheory.ObjectProperty.IsCoseparating.isCodetectingproof · cited by 2
- CategoryTheory.ObjectProperty.IsCodetecting.isCoseparatingproof · cited by 2
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