Theorems · Theorem · group theory
IsSimpleGroup.derivedSeries_succ
∀ {G : Type u_1} [inst : Group G] [IsSimpleGroup G] {n : ℕ}, derivedSeries G n.succ = commutator G- Defined in
- Mathlib.GroupTheory.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupIsSimpleGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Bot.botproof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- Bracket.bracketproof · cited by 642
- commutatorstatement and proof · cited by 56
- IsSimpleGroupstatement and proof · cited by 26
- derivedSeriesstatement and proof · cited by 22
- Subgroup.Normal.eq_bot_or_eq_topproof · cited by 7
- derivedSeries_succproof · cited by 3
- Subgroup.commutator_bot_leftproof · cited by 2
- derivedSeries_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsSimpleGroup.comm_iff_isSolvableproof · cited by 0