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Theorems · Theorem · number theory

Zsqrtd.nonnegg_pos_neg

∀ {c d a b : ℕ}, Zsqrtd.Nonnegg c d (↑a) (-↑b) ↔ Zsqrtd.SqLe b c a d
Defined in
Mathlib.NumberTheory.Zsqrtd.Basic
Cited by
5 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Zsqrtd.nonneg_add_lem · cited by 1Zsqrtd.nonneg_add_lemZsqrtd.nonneg_mul · cited by 1Zsqrtd.nonneg_mulZsqrtd.nonneg_muld · cited by 1Zsqrtd.nonneg_muldZsqrtd.nonneg_smul · cited by 1Zsqrtd.nonneg_smulZsqrtd.Nonneg.add · cited by 1Nonneg.addZsqrtd.SqLe · cited by 14Zsqrtd.SqLeZsqrtd.Nonnegg · cited by 6Zsqrtd.NonneggZsqrtd.nonnegg_neg_pos · cited by 6Zsqrtd.nonnegg_neg_posZsqrtd.nonnegg_comm · cited by 2Zsqrtd.nonnegg_commZsqrtd.nonnegg_pos_negCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.