Theorems · Theorem · group theory

IsMulTorsion.extension_closed

∀ {G : Type u_1} {H : Type u_2} [inst : Group G] {N : Subgroup G} [inst_1 : Group H] {f : G →* H},
  N = f.ker → IsMulTorsion H → IsMulTorsion ↥N → IsMulTorsion G

Torsion groups are closed under extensions.

Defined in

Mathlib.GroupTheory.Torsion

Cited by

2 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

GroupGroup