Theorems · Theorem · number theory
Nat.prime_def_lt
∀ {p : ℕ}, Nat.Prime p ↔ 2 ≤ p ∧ ∀ m < p, m ∣ p → m = 1- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement · cited by 2,059
- Nat.prime_defproof · cited by 3
- LE.le.lt_or_eq_decproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Nat.prime_of_coprimeproof · cited by 3
- Nat.prime_def_lt'proof · cited by 2
- Nat.properDivisors_eq_singleton_one_iff_primeproof · cited by 1