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Theorems · Theorem · group theory

AddCommGroup.le_comap_torsion

∀ {G : Type u_1} {H : Type u_2} [inst : AddCommGroup G] [inst_1 : AddCommGroup H] (f : G →+ H),
  AddCommGroup.torsion G ≤ AddSubgroup.comap f (AddCommGroup.torsion H)
Defined in
Mathlib.GroupTheory.Torsion
Cited by
2 results in Mathlib
Foundations
Depth 44 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_ge_of_surjective · cited by 0AddCommGroup.freeRank_ge_…AddCommGroup.map_torsion_le · cited by 0AddCommGroup.map_torsion_…AddCommGroup · cited by 12871AddCommGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomAddSubgroup.comap · cited by 123AddSubgroup.comapAddCommGroup.torsion · cited by 18AddCommGroup.torsionAddMonoidHom.isOfFinAddOrder · cited by 2AddMonoidHom.isOfFinAddOr…AddCommGroup.le_comap_torsionCITED BYCITES

Cites6

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Cited by2

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