Theorems · Theorem · number theory
padicValNat_eq_emultiplicity_of_ne_one
∀ {p : ℕ}, p ≠ 1 → ∀ {n : ℕ}, n ≠ 0 → ↑(padicValNat p n) = emultiplicity p n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 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.
- ENatstatement · cited by 4,985
- emultiplicitystatement · cited by 156
- padicValNatstatement and proof · cited by 106
- emultiplicity_eq_coeproof · cited by 9
- Nat.pow_dvd_iff_le_padicValNatproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- padicValNat_eq_emultiplicityproof · cited by 9
- padicValNat_def'proof · cited by 6
- padicValNat_dvd_iff_le_of_ne_oneproof · cited by 2