Theorems · Theorem · number theory
Zsqrtd.nonneg_muld
∀ {d : ℕ} {a : ℤ√↑d}, a.Nonneg → (Zsqrtd.sqrtd * a).Nonneg- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- mul_commproof · cited by 2,262
- mul_negproof · cited by 590
- mul_left_commproof · cited by 184
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.Nonnegstatement and proof · cited by 15
- Zsqrtd.sqrtdstatement and proof · cited by 11
- Zsqrtd.nonnegg_neg_posproof · cited by 6
- Zsqrtd.nonnegg_pos_negproof · cited by 5
- Zsqrtd.nonneg_casesproof · cited by 4
- Zsqrtd.muld_valproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_mul_lemproof · cited by 1