Mathlib Map

Theorems · Theorem · group theory

CommGroup.le_comap_torsion

∀ {G : Type u_1} {H : Type u_2} [inst : CommGroup G] [inst_1 : CommGroup H] (f : G →* H),
  CommGroup.torsion G ≤ Subgroup.comap f (CommGroup.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
CommGroupCommGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CommGroup.map_torsion_le · cited by 0CommGroup.map_torsion_leCommGroup.freeRank_ge_of_surjective · cited by 0CommGroup.freeRank_ge_of_…MonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupCommGroup · cited by 990CommGroupSubgroup.comap · cited by 154Subgroup.comapCommGroup.torsion · cited by 16CommGroup.torsionMonoidHom.isOfFinOrder · cited by 6MonoidHom.isOfFinOrderCommGroup.le_comap_torsionCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.