Theorems · Theorem · group theory
Submodule.fg_toAddSubgroup
∀ {R : Type u_1} {M : Type u_3} [inst : CommRing R] [Module.Finite ℤ R] [inst_2 : AddCommGroup M] [inst_3 : Module R M]
{A : Submodule R M}, A.FG → A.toAddSubgroup.FG- Defined in
- Mathlib.GroupTheory.FiniteAbelian.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement and proof · cited by 7,192
- AddSubgroupproof · cited by 3,232
- Module.Finitestatement and proof · cited by 1,032
- Submodule.FGstatement and proof · cited by 230
- Submodule.toAddSubgroupstatement and proof · cited by 106
- AddSubgroup.toIntSubmoduleproof · cited by 25
- AddSubgroup.FGstatement and proof · cited by 21
- Submodule.fg_iff_addSubgroup_fgproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.isFiniteRelIndex_of_map_linearMapMulLeft_leproof · cited by 0