Theorems · Theorem · number theory
Zsqrtd.norm_eq_zero_iff
∀ {d : ℤ}, d < 0 → ∀ (z : ℤ√d), z.norm = 0 ↔ z = 0- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- mul_assocproof · cited by 1,667
- sub_eq_add_negproof · cited by 1,023
- LT.lt.neproof · cited by 872
- neg_eq_zeroproof · cited by 171
- Zsqrtdstatement and proof · cited by 105
- mul_eq_zeroproof · cited by 94
- neg_nonnegproof · cited by 60
- Zsqrtd.improof · cited by 54
- Zsqrtd.reproof · cited by 53
- mul_self_nonnegproof · cited by 35
- Zsqrtd.normstatement and proof · cited by 35
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