Theorems · Theorem · category theory
CategoryTheory.Injective.of_iso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P Q : C} (i : P ≅ Q),
CategoryTheory.Injective P → CategoryTheory.Injective Q- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Category.comp_idproof · cited by 2,119
- CategoryTheory.Monoproof · cited by 893
- CategoryTheory.Iso.inv_hom_idproof · cited by 308
- CategoryTheory.Injectivestatement and proof · cited by 70
- CategoryTheory.Injective.factorsproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.epiWithInjectiveKernel_iffproof · cited by 3
- CochainComplex.Plus.modelCategoryQuillen.exists_quasiIso_injectiveproof · cited by 1
- CategoryTheory.Injective.iso_iffproof · cited by 1