Theorems · Theorem · number theory
Behrend.exists_large_sphere_aux
∀ (n d : ℕ), ∃ k ∈ Finset.range (n * (d - 1) ^ 2 + 1), ↑(d ^ n) / (↑(n * (d - 1) ^ 2) + 1) ≤ ↑(Behrend.sphere n d k).card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Finset.cardstatement and proof · cited by 2,327
- le_reflproof · cited by 2,061
- LT.lt.ne'proof · cited by 1,417
- Finset.rangestatement · cited by 1,341
- nsmul_eq_mulproof · cited by 369
- Finset.mem_rangeproof · cited by 140
- mul_div_cancel_left₀proof · cited by 111
- Finset.card_rangeproof · cited by 108
- Nat.cast_add_oneproof · cited by 56
- Nat.cast_add_one_posproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.exists_large_sphereproof · cited by 1