Theorems · Theorem · number theory
Nat.irreducible_iff_prime
∀ {p : ℕ}, Irreducible p ↔ Prime p- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Irreduciblestatement · cited by 496
- Primestatement · cited by 277
- Nat.prime_iffproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- Nat.factors_eqproof · cited by 5
- IsPrimitiveRoot.zeta_sub_one_prime_of_ne_twoproof · cited by 1
- IsPrimitiveRoot.zeta_sub_one_prime_of_two_powproof · cited by 1