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Theorems · Theorem · group theory

AddCommGroup.map_torsion_le

∀ {G : Type u_1} {H : Type u_2} [inst : AddCommGroup G] [inst_1 : AddCommGroup H] (f : G →+ H),
  AddSubgroup.map f (AddCommGroup.torsion G) ≤ AddCommGroup.torsion H
Defined in
Mathlib.GroupTheory.Torsion
Cited by
0 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupAddCommGroup
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AddCommGroup · cited by 12871AddCommGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomAddSubgroup.map · cited by 189AddSubgroup.mapAddCommGroup.torsion · cited by 18AddCommGroup.torsionAddSubgroup.map_le_iff_le_comap · cited by 10AddSubgroup.map_le_iff_le…AddCommGroup.le_comap_torsion · cited by 2AddCommGroup.le_comap_tor…AddCommGroup.map_torsion_leCITED BYCITES

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