Theorems · Theorem · number theory
Zsqrtd.norm_eq_zero
∀ {d : ℤ}, (∀ (n : ℤ), d ≠ n * n) → ∀ (a : ℤ√d), a.norm = 0 ↔ a = 0- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_antisymmproof · cited by 2,068
- mul_assocproof · cited by 1,667
- LT.lt.neproof · cited by 872
- sub_eq_zeroproof · cited by 407
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.improof · cited by 54
- Zsqrtd.reproof · cited by 53
- mul_self_nonnegproof · cited by 35
- Zsqrtd.normstatement and proof · cited by 35
- mul_nonpos_of_nonpos_of_nonnegproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.lift_injectiveproof · cited by 1