Theorems · Theorem · number theory
Zsqrtd.nonneg_antisymm
∀ {d : ℕ} [dnsq : Zsqrtd.Nonsquare d] {a : ℤ√↑d}, a.Nonneg → (-a).Nonneg → a = 0- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Quot.sound
- Assumes
- Zsqrtd.Nonsquare
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- le_antisymmproof · cited by 2,068
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.Nonnegstatement and proof · cited by 15
- Zsqrtd.SqLeproof · cited by 14
- Zsqrtd.Nonsquarestatement and proof · cited by 12
- Zsqrtd.not_divides_sqproof · cited by 1
- Zsqrtd.not_sqLe_succproof · cited by 1
- Zsqrtd.d_posproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.le_antisymmproof · cited by 0