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Theorems · Definition · number theory

Zsqrtd.SqLe

ℕ → ℕ → ℕ → ℕ → Prop

Read SqLe a c b d as a √c ≤ b √d

Defined in
Mathlib.NumberTheory.Zsqrtd.Basic
Cited by
14 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
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Around this declaration

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

Zsqrtd.nonnegg_neg_pos · cited by 6Zsqrtd.nonnegg_neg_posZsqrtd.Nonnegg · cited by 6Zsqrtd.NonneggZsqrtd.nonnegg_pos_neg · cited by 5Zsqrtd.nonnegg_pos_negZsqrtd.nonnegg_cases_right · cited by 2Zsqrtd.nonnegg_cases_rightZsqrtd.sqLe_add_mixed · cited by 2Zsqrtd.sqLe_add_mixedZsqrtd.sqLe_of_le · cited by 2Zsqrtd.sqLe_of_leZsqrtd.sqLe_smul · cited by 1Zsqrtd.sqLe_smulZsqrtd.nonneg_add_lem · cited by 1Zsqrtd.nonneg_add_lemZsqrtd.nonneg_antisymm · cited by 1Zsqrtd.nonneg_antisymmZsqrtd.nonnegg_cases_left · cited by 1Zsqrtd.nonnegg_cases_leftZsqrtd.not_sqLe_succ · cited by 1Zsqrtd.not_sqLe_succZsqrtd.le_arch · cited by 1Zsqrtd.le_archZsqrtd.sqLe_add · cited by 1Zsqrtd.sqLe_addZsqrtd.sqLe_cancel · cited by 1Zsqrtd.sqLe_cancelZsqrtd.sqLe_mul · cited by 1Zsqrtd.sqLe_mulZsqrtd.SqLeCITED BYCITES

Cites0

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Nothing in Mathlib beyond the foundations.

Cited by15

Results whose statement or proof uses this declaration.