Theorems · Theorem · group theory
Subgroup.commutator_comm_le
∀ {G : Type u_1} [inst : Group G] (H₁ H₂ : Subgroup G), ⁅H₁, H₂⁆ ≤ ⁅H₂, H₁⁆- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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 and proof · cited by 642
- Subgroup.commutator_mem_commutatorproof · cited by 13
- Subgroup.commutator_leproof · cited by 10
- Subgroup.inv_mem_iffproof · cited by 9
- commutatorElement_invproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.commutator_commproof · cited by 7