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Theorems · Definition · category theory

CategoryTheory.Iso.addGroupIsoToAddEquiv

{X Y : AddGrpCat} → (X ≅ Y) → ↑X ≃+ ↑Y

Build an addEquiv from an isomorphism in the category AddGrpCat

Defined in
Mathlib.Algebra.Category.Grp.Basic
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddGrpCat.subsingleton_of_isZero · cited by 1AddGrpCat.subsingleton_of…addEquivIsoAddGroupIso · cited by 0addEquivIsoAddGroupIsoCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.Iso · cited by 3963CategoryTheory.IsoAddEquiv · cited by 1087AddEquivAddGrpCat · cited by 80AddGrpCatAddGrpCat.carrier · cited by 67AddGrpCat.carrierAddGrpCat.Hom.hom · cited by 20Hom.homAddMonoidHom.toAddEquiv · cited by 3AddMonoidHom.toAddEquivIso.addGroupIsoToAddEquivCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

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