Theorems · Theorem · number theory
LinearOrderedCommGroupWithZero.mul_inv_cancel
∀ {α : Type u_3} [self : LinearOrderedCommGroupWithZero α] (a : α), a ≠ 0 → a * a⁻¹ = 1Every nonzero element of a group with zero is invertible.
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- Depth 4 from the axioms · uses no axioms
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- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Monoid.toOnestatement · cited by 34
- CommMonoidWithZero.toZerostatement · cited by 10
- LinearOrderedCommGroupWithZero.toInvstatement · cited by 4
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