Theorems · Theorem · number theory
Zsqrtd.nonneg_mul_lem
∀ {d x y : ℕ} {a : ℤ√↑d}, a.Nonneg → ({ re := ↑x, im := ↑y } * a).Nonneg- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_assocproof · cited by 1,667
- Int.cast_natCastproof · cited by 393
- Zsqrtdstatement and proof · cited by 105
- right_distribproof · cited by 26
- Zsqrtd.Nonnegstatement and proof · cited by 15
- Zsqrtd.sqrtdproof · cited by 11
- Zsqrtd.decomposeproof · cited by 2
- Zsqrtd.nonneg_muldproof · cited by 1
- Zsqrtd.nonneg_smulproof · cited by 1
- Zsqrtd.Nonneg.addproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_mulproof · cited by 1