Theorems · Theorem · group theory
AddSubgroup.IsFinitelyNormallyGenerated.of_FG
∀ {G : Type u_1} [inst : AddGroup G] (N : AddSubgroup G) [N.Normal] [h : AddGroup.FG ↥N], N.IsFinitelyNormallyGenerated- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 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.
- Setproof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- le_antisymmproof · cited by 2,068
- Set.Finiteproof · cited by 1,814
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.closureproof · cited by 156
- AddSubgroup.subset_closureproof · cited by 49
- AddGroup.FGstatement and proof · cited by 37
- AddSubgroup.normalClosure_le_normalproof · cited by 9
- AddSubgroup.IsFinitelyNormallyGeneratedstatement · cited by 8
- AddSubgroup.closure_le_normalClosureproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.IsFinitelyNormallyGenerated.botproof · cited by 0