Theorems · Theorem · number theory
Behrend.sum_sq_le_of_mem_box
∀ {n d : ℕ} {x : Fin n → ℕ}, x ∈ Behrend.box n d → ∑ i, x i ^ 2 ≤ n * (d - 1) ^ 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.sumstatement · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- LE.le.transproof · cited by 3,151
- le_reflproof · cited by 2,061
- smul_eq_mulproof · cited by 357
- Finset.card_finproof · cited by 26
- Finset.sum_le_card_nsmulproof · cited by 25
- Behrend.boxstatement and proof · cited by 10
- Behrend.mem_boxproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.exists_large_sphere_auxproof · cited by 1