Theorems · Theorem · number theory
Nat.coprime_pow_primes
∀ {p q : ℕ} (n m : ℕ), Nat.Prime p → Nat.Prime q → p ≠ q → (p ^ n).Coprime (q ^ m)- Defined in
- Mathlib.Data.Nat.Prime.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Nat.coprime_primesproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Nat.coprime_factorizationLCMLeft_factorizationLCMRightproof · cited by 1
- IsPGroup.coprime_card_of_neproof · cited by 0