Theorems · Theorem · category theory
CategoryTheory.Simple.of_iso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C}
[CategoryTheory.Simple Y] (i : X ≅ Y), CategoryTheory.Simple X- Defined in
- Mathlib.CategoryTheory.Simple
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.IsIsoproof · cited by 1,156
- CategoryTheory.Monoproof · cited by 893
- CategoryTheory.cancel_monoproof · cited by 435
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.simple_objproof · cited by 2
- CategoryTheory.indecomposable_of_simpleproof · cited by 0
- CategoryTheory.Simple.iff_of_isoproof · cited by 0