Theorems · Theorem · number theory
Behrend.norm_of_mem_sphere
∀ {n d k : ℕ} {x : Fin n → ℕ}, x ∈ Behrend.sphere n d k → ‖WithLp.toLp 2 (Nat.cast ∘ x)‖ = √↑k- Cited by
- 2 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finsetstatement · cited by 13,712
- ENNRealstatement · cited by 9,879
- Norm.normstatement · cited by 5,413
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- Real.sqrtstatement and proof · cited by 545
- WithLpstatement · cited by 345
- Finset.mem_filterproof · cited by 185
- Nat.abs_castproof · cited by 36
- Behrend.spherestatement and proof · cited by 11
- EuclideanSpace.norm_eqproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Behrend.threeAPFree_sphereproof · cited by 1
- Behrend.sphere_subset_preimage_metric_sphereproof · cited by 0