Mathlib Map

Theorems · Theorem · group theory

MulEquiv.comap_torsion

∀ {G : Type u_1} {H : Type u_2} [inst : CommGroup G] [inst_1 : CommGroup H] (e : G ≃* H),
  Subgroup.comap (↑e) (CommGroup.torsion H) = CommGroup.torsion G
Defined in
Mathlib.GroupTheory.Torsion
Cited by
1 results in Mathlib
Foundations
Depth 45 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.

MulEquiv.map_torsion · cited by 1MulEquiv.map_torsionSubgroup · cited by 3593SubgroupMulEquiv · cited by 1142MulEquivCommGroup · cited by 990CommGroupMonoidHomClass.toMonoidHom · cited by 294MonoidHomClass.toMonoidHomSubgroup.comap · cited by 154Subgroup.comapMulEquiv.injective · cited by 36MulEquiv.injectiveCommGroup.torsion · cited by 16CommGroup.torsionCommGroup.comap_torsion_of_injective · cited by 1CommGroup.comap_torsion_o…MulEquiv.comap_torsionCITED BYCITES

Cites8

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

Cited by1

Results whose statement or proof uses this declaration.