Theorems · Theorem · number theory
Zsqrtd.norm_eq_one_iff
∀ {d : ℤ} {x : ℤ√d}, x.norm.natAbs = 1 ↔ IsUnit x- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsUnitstatement and proof · cited by 1,602
- Star.starproof · cited by 1,082
- le_totalproof · cited by 294
- Int.cast_negproof · cited by 224
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.normstatement and proof · cited by 35
- Int.cast_injproof · cited by 22
- isUnit_iff_dvd_oneproof · cited by 21
- neg_mul_eq_mul_negproof · cited by 15
- mul_eq_oneproof · cited by 6
- Zsqrtd.norm_eq_mul_conjproof · cited by 5
- Zsqrtd.norm_mulproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- GaussianInt.sq_add_sq_of_nat_prime_of_not_irreducibleproof · cited by 2
- Zsqrtd.norm_eq_one_iff'proof · cited by 1
- Zsqrtd.isUnit_iff_norm_isUnitproof · cited by 0