Theorems · Definition · number theory
Zsqrtd.Nonnegg
ℕ → ℕ → ℤ → ℤ → Prop
"Generalized" nonneg. nonnegg c d x y means a √c + b √d ≥ 0;
we are interested in the case c = 1 but this is more symmetric
- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Zsqrtd.SqLeproof · cited by 14
Cited by7
Results whose statement or proof uses this declaration.
- Zsqrtd.Nonnegproof · cited by 15
- Zsqrtd.nonnegg_neg_posstatement and proof · cited by 6
- Zsqrtd.nonnegg_pos_negstatement · cited by 5
- Zsqrtd.nonnegg_cases_rightstatement and proof · cited by 2
- Zsqrtd.nonnegg_commstatement and proof · cited by 2
- Zsqrtd.nonneg_smulproof · cited by 1
- Zsqrtd.nonnegg_cases_leftstatement · cited by 1