Theorems · Theorem · number theory
Zsqrtd.Nonneg.add
∀ {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 53 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_commproof · cited by 1,535
- Nat.cast_addproof · cited by 586
- Zsqrtdstatement and proof · cited by 105
- neg_addproof · cited by 69
- Zsqrtd.improof · cited by 54
- Zsqrtd.reproof · cited by 53
- 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
- le_of_neg_le_negproof · cited by 4
- Zsqrtd.nonnegg_cases_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_mul_lemproof · cited by 1