Theorems · Theorem · group theory
Subgroup.normalizer_le_normalizer_closure
∀ {G : Type u_1} [inst : Group G] (s : Set G), Subgroup.normalizer s ≤ Subgroup.normalizer ↑(Subgroup.closure s)- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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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
- Setstatement and proof · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.imageproof · cited by 5,609
- Subgroupstatement and proof · cited by 3,593
- MonoidHomClass.toMonoidHomproof · cited by 294
- Subgroup.closurestatement and proof · cited by 196
- Subgroup.normalizerstatement and proof · cited by 108
- MulAut.conjproof · cited by 64
- MonoidHom.map_closureproof · cited by 16
- MonoidHom.coe_coeproof · cited by 7
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