Theorems · Theorem · number theory
one_le_padicValNat_of_dvd
∀ {p n : ℕ} [hp : Fact (Nat.Prime p)], n ≠ 0 → p ∣ n → 1 ≤ padicValNat p n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatproof · cited by 4,985
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- pow_oneproof · cited by 894
- padicValNatstatement · cited by 106
- ENat.natCast_le_natCastproof · cited by 19
- pow_dvd_iff_le_emultiplicityproof · cited by 11
- padicValNat_eq_emultiplicityproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- dvd_iff_padicValNat_ne_zeroproof · cited by 0