Theorems · Definition · category theory
CategoryTheory.Iso.addCommGroupIsoToAddEquiv
{X Y : AddCommGrpCat} → (X ≅ Y) → ↑X ≃+ ↑YBuild an AddEquiv from an isomorphism in the category AddCommGrpCat.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- AddEquivstatement · cited by 1,087
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement · cited by 407
- AddCommGrpCat.Hom.homproof · cited by 72
- AddMonoidHom.toAddEquivproof · cited by 3
Cited by11
Results whose statement or proof uses this declaration.
- AddCommGrpCat.subsingleton_of_isZeroproof · cited by 4
- ModuleCat.isoMkproof · cited by 3
- CategoryTheory.Limits.IsColimit.ι_smulproof · cited by 2
- CategoryTheory.GrothendieckTopology.MayerVietorisSquare.toBiprod_applyproof · cited by 1
- CategoryTheory.Iso.addCommGroupIsoToAddEquiv_applystatement and proof · cited by 1
- CategoryTheory.Iso.addCommGroupIsoToAddEquiv_symm_applystatement and proof · cited by 1
- ModuleCat.hasProjectiveDimensionLT_of_forall_finiteproof · cited by 1
- CochainComplex.HomComplex.homologyAddEquivproof · cited by 0
- AlgebraicGeometry.StructureSheaf.commRingCatStalkEquivModuleStalkproof · cited by 0
- addEquivIsoAddCommGroupIsoproof · cited by 0