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Theorems · Theorem · group theory

AddEquiv.comap_torsion

∀ {G : Type u_1} {H : Type u_2} [inst : AddCommGroup G] [inst_1 : AddCommGroup H] (e : G ≃+ H),
  AddSubgroup.comap (↑e) (AddCommGroup.torsion H) = AddCommGroup.torsion G
Defined in
Mathlib.GroupTheory.Torsion
Cited by
1 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupAddCommGroup
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Around this declaration

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

AddEquiv.map_torsion · cited by 1AddEquiv.map_torsionAddCommGroup · cited by 12871AddCommGroupAddSubgroup · cited by 3232AddSubgroupAddEquiv · cited by 1087AddEquivAddMonoidHomClass.toAddMonoidHom · cited by 232AddMonoidHomClass.toAddMo…AddSubgroup.comap · cited by 123AddSubgroup.comapAddEquiv.injective · cited by 58AddEquiv.injectiveAddCommGroup.torsion · cited by 18AddCommGroup.torsionAddCommGroup.comap_torsion_of_injective · cited by 1AddCommGroup.comap_torsio…AddEquiv.comap_torsionCITED BYCITES

Cites8

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Cited by1

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