Theorems · Definition · number theory
Behrend.sphere
(n : ℕ) → ℕ → ℕ → Finset (Fin n → ℕ)
The intersection of the sphere of radius √k with the integer points in the positive
quadrant.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Finset.filterproof · cited by 949
- Behrend.boxproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- Behrend.norm_of_mem_spherestatement and proof · cited by 2
- Behrend.bound_aux'proof · cited by 1
- Behrend.card_sphere_le_rothNumberNatstatement and proof · cited by 1
- Behrend.sphere_subset_boxstatement · cited by 1
- Behrend.sphere_zero_rightstatement · cited by 1
- Behrend.exists_large_spherestatement and proof · cited by 1
- Behrend.exists_large_sphere_auxstatement · cited by 1
- Behrend.threeAPFree_image_spherestatement and proof · cited by 1
- Behrend.threeAPFree_spherestatement and proof · cited by 1
- Behrend.sphere_subset_preimage_metric_spherestatement and proof · cited by 0
- Behrend.sphere_zero_subsetstatement · cited by 0