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theorem proved term proof

primeFactors_prime_pow

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formal statement (Lean)

 748theorem primeFactors_prime_pow {p k : ℕ} (hp : Prime p) (hk : k ≠ 0) :
 749    (p ^ k).primeFactors = {p} := by

proof body

Term-mode proof.

 750  have hp' : Nat.Prime p := (prime_iff p).1 hp
 751  exact Nat.primeFactors_prime_pow hk hp'
 752
 753/-- rad(p^k) = p for prime p and k ≥ 1. -/

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