Theorems · Theorem · number theory
Nat.prime_of_mem_primesBelow
∀ {p n : ℕ}, p ∈ n.primesBelow → Nat.Prime p- Defined in
- Mathlib.NumberTheory.PrimeCounting
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 55 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
- Nat.Primestatement · cited by 2,059
- Finset.mem_filterproof · cited by 185
- Nat.primesBelowstatement and proof · cited by 43
Cited by5
Results whose statement or proof uses this declaration.
- Nat.prime_of_mem_primesLEproof · cited by 6
- not_summable_one_div_on_primesproof · cited by 2
- Nat.smoothNumbersUpTo_subset_imageproof · cited by 1
- Nat.two_le_of_mem_primesBelowproof · cited by 1
- Nat.one_lt_of_mem_primesBelowproof · cited by 1