Theorems · Theorem · number theory
Int.units_eq_one_or
∀ (u : ℤˣ), u = 1 ∨ u = -1
- Defined in
- Mathlib.Algebra.Ring.Int.Units
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.isUnitproof · cited by 116
- Int.isUnit_eq_one_orproof · cited by 6
Cited by20
Results whose statement or proof uses this declaration.
- ZMod.val_coe_unit_coprimeproof · cited by 6
- alternatingGroup.isMultiplyPretransitiveproof · cited by 4
- Matrix.detp_eq_of_row_eqproof · cited by 3
- Matrix.IsDetpBalanced.mul_add_mul_eqproof · cited by 2
- Int.sq_of_gcd_eq_oneproof · cited by 2
- alternatingGroup.stabilizer.surjective_toPermproof · cited by 2
- HNNExtension.NormalWord.t_pow_smul_eq_unitsSMulproof · cited by 2
- Int.nnnorm_coe_unitsproof · cited by 1
- Polynomial.natDegree_det_X_add_C_leproof · cited by 1
- AbsoluteValue.map_units_int_smulproof · cited by 1
- abs_unit_intCastproof · cited by 1
- Equiv.Perm.sign_surjectiveproof · cited by 1