Theorems · Definition · number theory
Zsqrtd.Nonneg
{d : ℕ} → ℤ√↑d → PropNonnegativity of an element of ℤ√d.
- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.Nonneggproof · cited by 6
Cited by15
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_casesstatement and proof · cited by 4
- Zsqrtd.le_of_le_leproof · cited by 2
- Zsqrtd.nonneg_add_lemstatement and proof · cited by 1
- Zsqrtd.nonneg_antisymmstatement and proof · cited by 1
- Zsqrtd.nonneg_mulstatement and proof · cited by 1
- Zsqrtd.nonneg_mul_lemstatement and proof · cited by 1
- Zsqrtd.nonneg_muldstatement and proof · cited by 1
- Zsqrtd.nonneg_smulstatement and proof · cited by 1
- Zsqrtd.nonneg_totalstatement and proof · cited by 1
- Zsqrtd.Nonneg.addstatement and proof · cited by 1
- Zsqrtd.le_archproof · cited by 1
- Zsqrtd.nonneg_iff_zero_lestatement and proof · cited by 0