AddSubgroup.addCommutator_addCommutator_eq_bot_of_rotate

∀ {G : Type u_1} [inst : AddGroup G] {H₁ H₂ H₃ : AddSubgroup G},
  ⁅⁅H₂, H₃⁆, H₁⁆ = ⊥ → ⁅⁅H₃, H₁⁆, H₂⁆ = ⊥ → ⁅⁅H₁, H₂⁆, H₃⁆ = ⊥

The Three Subgroups Lemma (via the Hall-Witt identity)

Defined in: Mathlib.GroupTheory.Commutator.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup

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