Theorems · Theorem · ring theory
sq_ne_one_iff
∀ {R : Type u} [inst : Ring R] {a : R} [NoZeroDivisors R], a ^ 2 ≠ 1 ↔ a ≠ 1 ∧ a ≠ -1- Defined in
- Mathlib.Algebra.Ring.Commute
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
- Assumes
- RingNoZeroDivisors
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- NoZeroDivisorsstatement and proof · cited by 545
- Iff.notproof · cited by 489
- sq_eq_one_iffproof · cited by 14
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