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Theorems · Theorem · group theory

AddEquiv.map_torsion

∀ {G : Type u_1} {H : Type u_2} [inst : AddCommGroup G] [inst_1 : AddCommGroup H] (e : G ≃+ H),
  AddSubgroup.map (↑e) (AddCommGroup.torsion G) = AddCommGroup.torsion H
Defined in
Mathlib.GroupTheory.Torsion
Cited by
1 results in Mathlib
Foundations
Depth 46 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.

AddCommGroup.freeRank_congr · cited by 0AddCommGroup.freeRank_con…AddCommGroup · cited by 12871AddCommGroupAddSubgroup · cited by 3232AddSubgroupAddEquiv · cited by 1087AddEquivAddEquiv.symm · cited by 530AddEquiv.symmAddMonoidHomClass.toAddMonoidHom · cited by 232AddMonoidHomClass.toAddMo…AddSubgroup.map · cited by 189AddSubgroup.mapAddCommGroup.torsion · cited by 18AddCommGroup.torsionAddSubgroup.map_equiv_eq_comap_symm · cited by 4AddSubgroup.map_equiv_eq_…AddEquiv.comap_torsion · cited by 1AddEquiv.comap_torsionAddEquiv.map_torsionCITED BYCITES

Cites9

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Cited by1

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