Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.IsSeparating.of_equivalence
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.ObjectProperty C},
P.IsSeparating →
∀ {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D] (α : C ≌ D), (P.strictMap α.functor).IsSeparating- Defined in
- Mathlib.CategoryTheory.Generator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Equivalencestatement and proof · cited by 601
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsSeparator.of_equivalenceproof · cited by 1