Theorems · Theorem · group theory
Subgroup.commutator_le_self
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), ⁅H, H⁆ ≤ H- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 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.
Cites7
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
- Bracket.bracketstatement · cited by 642
- Eq.trans_leproof · cited by 155
- commutatorproof · cited by 56
- Subgroup.map_subtype_commutatorproof · cited by 7
- Subgroup.map_subtype_leproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- derivedSeries_antitoneproof · cited by 0