Theorems · Theorem · commutative algebra
Submodule.torsion_int
∀ {G : Type u_3} [inst : AddCommGroup G], (Submodule.torsion ℤ G).toAddSubgroup = AddCommGroup.torsion G- Defined in
- Mathlib.Algebra.Module.Torsion.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- AddSubgroupstatement · cited by 3,232
- nonZeroDivisorsproof · cited by 895
- Submodule.toAddSubgroupstatement · cited by 106
- AddSubgroup.extproof · cited by 75
- Submodule.neg_memproof · cited by 31
- AddCommGroup.torsionstatement · cited by 18
- Submodule.torsionstatement and proof · cited by 15
- isOfFinAddOrder_iff_zsmul_eq_zeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- finrank_quotient_torsion_eqproof · cited by 1