Theorems · Theorem · category theory
CategoryTheory.Idempotents.Equivalence.isIdempotentComplete
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (ε : C ≌ D),
CategoryTheory.IsIdempotentComplete C → CategoryTheory.IsIdempotentComplete D- Defined in
- Mathlib.CategoryTheory.Idempotents.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- 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.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isoproof · cited by 3,963
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Idempotents.isIdempotentComplete_iff_of_equivalenceproof · cited by 1