Theorems · Definition · number theory
Nat.smoothNumbersUpTo
ℕ → ℕ → Finset ℕ
The k-smooth numbers up to and including N as a Finset
- Defined in
- Mathlib.NumberTheory.SmoothNumbers
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.rangeproof · cited by 1,341
- Finset.filterproof · cited by 949
- Nat.smoothNumbersproof · cited by 32
Cited by5
Results whose statement or proof uses this declaration.
- Nat.smoothNumbersUpTo_card_add_roughNumbersUpTo_cardstatement · cited by 1
- Nat.smoothNumbersUpTo_card_lestatement and proof · cited by 1
- Nat.smoothNumbersUpTo_subset_imagestatement and proof · cited by 1
- one_half_le_sum_primes_ge_one_divproof · cited by 1
- Nat.mem_smoothNumbersUpTostatement · cited by 1