Theorems · Theorem · group theory
Subgroup.IsFinitelyNormallyGenerated.of_FG
∀ {G : Type u_1} [inst : Group G] (N : Subgroup G) [N.Normal] [h : Group.FG ↥N], N.IsFinitelyNormallyGenerated- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.NormalGroup.FG
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.
- Setproof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- le_antisymmproof · cited by 2,068
- Set.Finiteproof · cited by 1,814
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.closureproof · cited by 196
- Subgroup.subset_closureproof · cited by 53
- Group.FGstatement and proof · cited by 40
- Subgroup.normalClosure_le_normalproof · cited by 10
- Subgroup.IsFinitelyNormallyGeneratedstatement · cited by 10
- Subgroup.closure_le_normalClosureproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.IsFinitelyNormallyGenerated.botproof · cited by 0