Theorems · Theorem · number theory
Int.sq_eq_one_of_sq_lt_four
∀ {x : ℤ}, x ^ 2 < 4 → x ≠ 0 → x ^ 2 = 1- Defined in
- Mathlib.Data.Int.Order.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- le_antisymmproof · cited by 2,068
- abs_posproof · cited by 45
- zero_le_twoproof · cited by 44
- zero_le_one'proof · cited by 18
- sq_eq_one_iffproof · cited by 14
- abs_eqproof · cited by 9
- abs_lt_of_sq_lt_sqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Int.sq_eq_one_of_sq_le_threeproof · cited by 1