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Theorems · Theorem · group theory

CommGroup.torsion_prod

∀ {G : Type u_1} {H : Type u_2} [inst : CommGroup G] [inst_1 : CommGroup H],
  CommGroup.torsion (G × H) = (CommGroup.torsion G).prod (CommGroup.torsion H)
Defined in
Mathlib.GroupTheory.Torsion
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0 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommGroupCommGroup
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Subgroup · cited by 3593SubgroupCommGroup · cited by 990CommGroupIsOfFinOrder · cited by 113IsOfFinOrderSubgroup.prod · cited by 35Subgroup.prodCommGroup.torsion · cited by 16CommGroup.torsionCommGroup.torsion_prodCITED BYCITES

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