Theorems · Theorem · number theory
Nat.one_lt_of_mem_primesBelow
∀ {p n : ℕ}, p ∈ n.primesBelow → 1 < p- Defined in
- Mathlib.NumberTheory.PrimeCounting
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 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.Prime.one_ltproof · cited by 118
- Nat.primesBelowstatement and proof · cited by 43
- Nat.prime_of_mem_primesBelowproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Nat.one_lt_of_mem_primesLEproof · cited by 0