Theorems · Theorem · number theory
padicValNat_dvd_iff_le_of_ne_one
∀ {p : ℕ}, p ≠ 1 → ∀ {a n : ℕ}, a ≠ 0 → (p ^ n ∣ a ↔ n ≤ padicValNat p a)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatproof · cited by 4,985
- Nat.cast_leproof · cited by 159
- padicValNatstatement and proof · cited by 106
- pow_dvd_iff_le_emultiplicityproof · cited by 11
- padicValNat_eq_emultiplicity_of_ne_oneproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- padicValNat_dvd_iff_leproof · cited by 2
- padicValNat_dvd_iff_of_ne_oneproof · cited by 2