Theorems · Theorem · group theory
Subgroup.normalClosure_idempotent
∀ {G : Type u_1} [inst : Group G] {s : Set G},
Subgroup.normalClosure ↑(Subgroup.normalClosure s) = Subgroup.normalClosure s- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.normalClosurestatement and proof · cited by 35
- Subgroup.normalClosure_eq_selfproof · cited by 2
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