Mathlib Map

Theorems · Theorem · group theory

AddCommGroup.comap_torsion_of_injective

∀ {G : Type u_1} {H : Type u_2} [inst : AddCommGroup G] [inst_1 : AddCommGroup H] {f : G →+ H},
  Function.Injective ⇑f → AddSubgroup.comap f (AddCommGroup.torsion H) = AddCommGroup.torsion G
Defined in
Mathlib.GroupTheory.Torsion
Cited by
1 results in Mathlib
Foundations
Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupAddCommGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddEquiv.comap_torsion · cited by 1AddEquiv.comap_torsionDFunLike.coe · cited by 62936DFunLike.coeAddCommGroup · cited by 12871AddCommGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomAddSubgroup.comap · cited by 123AddSubgroup.comapAddSubgroup.ext · cited by 75AddSubgroup.extAddCommGroup.torsion · cited by 18AddCommGroup.torsionFunction.Injective.isOfFinAddOrder_iff · cited by 2Injective.isOfFinAddOrder…AddCommGroup.comap_torsion_of…CITED 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.