Theorems · Theorem · group theory
Subgroup.commutator_le_focalSubgroupOf
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), commutator ↥H ≤ H.focalSubgroupOf- Defined in
- Mathlib.GroupTheory.Focal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
Cites9
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
- Set.ofPredproof · cited by 6,101
- Subgroupstatement and proof · cited by 3,593
- Bracket.bracketproof · cited by 642
- commutatorstatement and proof · cited by 56
- Subgroup.focalSubgroupOfstatement · cited by 10
- Subgroup.closure_monoproof · cited by 4
- Subgroup.focalSubgroupOf_eq_closureproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.commutator_le_focalSubgroupproof · cited by 0