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Theorems · Theorem · group theory

MulEquiv.map_torsion

∀ {G : Type u_1} {H : Type u_2} [inst : CommGroup G] [inst_1 : CommGroup H] (e : G ≃* H),
  Subgroup.map (↑e) (CommGroup.torsion G) = CommGroup.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
CommGroupCommGroup
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Around this declaration

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

CommGroup.freeRank_congr · cited by 0CommGroup.freeRank_congrSubgroup · cited by 3593SubgroupMulEquiv · cited by 1142MulEquivCommGroup · cited by 990CommGroupMulEquiv.symm · cited by 482MulEquiv.symmSubgroup.map · cited by 301Subgroup.mapMonoidHomClass.toMonoidHom · cited by 294MonoidHomClass.toMonoidHomCommGroup.torsion · cited by 16CommGroup.torsionSubgroup.map_equiv_eq_comap_symm · cited by 6Subgroup.map_equiv_eq_com…MulEquiv.comap_torsion · cited by 1MulEquiv.comap_torsionMulEquiv.map_torsionCITED BYCITES

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Cited by1

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