Theorems · Theorem · number theory

Int.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul

∀ {p : ℕ},
  Nat.Prime p →
    ∀ {m n : ℤ} {k l : ℕ},
      ↑(p ^ k) ∣ m → ↑(p ^ l) ∣ n → ↑(p ^ (k + l + 1)) ∣ m * n → ↑(p ^ (k + 1)) ∣ m ∨ ↑(p ^ (l + 1)) ∣ n

Defined in: Mathlib.Data.Int.NatPrime
Cited by: 0 results in Mathlib
Foundations: Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

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Nat.Primestatement and proof · cited by 2,059
Nat.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mulproof · cited by 1

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