Theorems · Definition · category theory
CategoryTheory.coseparator
(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.HasCoseparator C] → CGiven a category C that has a coseparator (HasCoseparator C), coseparator C is an arbitrarily
chosen coseparator of C.
- Defined in
- Mathlib.CategoryTheory.Generator.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.HasCoseparatorstatement and proof · cited by 11
- CategoryTheory.HasCoseparator.hasCoseparatorproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.isCoseparator_coseparatorstatement · cited by 3
- CategoryTheory.isCodetector_coseparatorstatement · cited by 1
- CategoryTheory.HasCoseparator.of_equivalenceproof · cited by 0
- CategoryTheory.HasCoseparator.hasCodetectorproof · cited by 0