mul_notMem_of_exponent_two

∀ {G : Type u} [inst : Group G], Monoid.exponent G = 2 → ∀ {x y : G}, x ≠ 1 → y ≠ 1 → x ≠ y → x * y ∉ {x, y, 1}

Defined in: Mathlib.GroupTheory.Exponent
Cited by: 1 results in Mathlib
Foundations: Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

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