Theorems · Theorem · group theory
Subgroup.le_normalClosure
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G}, H ≤ Subgroup.normalClosure ↑H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Subgroup.normalClosurestatement · cited by 35
- Subgroup.subset_normalClosureproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.normalClosure_eq_selfproof · cited by 2
- normalClosure_of_stabilizer_eq_topproof · cited by 0