Theorems · Theorem · group theory
Subgroup.commutator_le_focalSubgroup
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), ⁅H, H⁆ ≤ H.focalSubgroup- Defined in
- Mathlib.GroupTheory.Focal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- le_reflproof · cited by 2,061
- Bracket.bracketstatement · cited by 642
- le_imp_le_of_le_of_leproof · cited by 576
- Subgroup.focalSubgroupstatement and proof · cited by 9
- Subgroup.map_monoproof · cited by 8
- Subgroup.map_subtype_commutatorproof · cited by 7
- Subgroup.map_focalSubgroupOfproof · cited by 3
- Subgroup.commutator_le_focalSubgroupOfproof · cited by 1
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