Theorems · Theorem · number theory
Zsqrtd.nonneg_mul
∀ {d : ℕ} {a b : ℤ√↑d}, a.Nonneg → b.Nonneg → (a * b).Nonneg- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 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.
- mul_commproof · cited by 2,262
- add_commproof · cited by 1,535
- neg_negproof · cited by 960
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- neg_add_revproof · cited by 236
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.Nonnegstatement and proof · cited by 15
- Zsqrtd.nonnegg_neg_posproof · cited by 6
- Zsqrtd.nonnegg_pos_negproof · cited by 5
- Zsqrtd.nonneg_casesproof · cited by 4
- Zsqrtd.nonneg_mul_lemproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.mul_nonnegproof · cited by 1