Theorems · Theorem · number theory
Nat.squarefree_and_prime_pow_iff_prime
∀ {n : ℕ}, Squarefree n ∧ IsPrimePow n ↔ Nat.Prime n- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement and proof · cited by 2,059
- LT.lt.ne'proof · cited by 1,417
- pow_oneproof · cited by 894
- Squarefreestatement and proof · cited by 112
- IsPrimePowstatement · cited by 77
- Nat.Prime.ne_oneproof · cited by 61
- isPrimePow_nat_iffproof · cited by 9
- Irreducible.squarefreeproof · cited by 6
- Nat.Prime.isPrimePowproof · cited by 5
- Nat.squarefree_pow_iffproof · cited by 2
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