Theorems · Theorem · group theory
derivedSeries_one
∀ (G : Type u_1) [inst : Group G], derivedSeries G 1 = commutator G
- Defined in
- Mathlib.GroupTheory.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 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.
Cites4
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 · cited by 3,593
- commutatorstatement · cited by 56
- derivedSeriesstatement · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- IsSimpleGroup.derivedSeries_succproof · cited by 1