Theorems · Theorem · number theory
Int.units_sq
∀ (u : ℤˣ), u ^ 2 = 1
- Defined in
- Mathlib.Data.Int.Order.Units
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice
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.
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- Units.isUnitproof · cited by 116
- Units.val_oneproof · cited by 39
- Units.ext_iffproof · cited by 29
- Units.val_pow_eq_pow_valproof · cited by 24
- Int.isUnit_sqproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Int.units_mul_selfproof · cited by 27
- Polynomial.isUnitTrinomial_iff'proof · cited by 1
- Polynomial.IsUnitTrinomial.irreducible_aux3proof · cited by 1
- Int.units_pow_eq_pow_mod_twoproof · cited by 1
- Int.units_pow_twoproof · cited by 1