Theorems · Theorem · number theory
le_padicValNat_iff_replicate_subperm_primeFactorsList
∀ {a b n : ℕ}, Nat.Prime a → b ≠ 0 → (n ≤ padicValNat a b ↔ (List.replicate n a).Subperm b.primeFactorsList)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatproof · cited by 4,985
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_leproof · cited by 159
- padicValNatstatement and proof · cited by 106
- Nat.primeFactorsListstatement · cited by 105
- Nat.Prime.ne_oneproof · cited by 61
- FiniteMultiplicity.emultiplicity_eq_multiplicityproof · cited by 31
- Nat.finiteMultiplicity_iffproof · cited by 13
- padicValNat_def'proof · cited by 6
- le_emultiplicity_iff_replicate_subperm_primeFactorsListproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nat.primeFactorsList_count_eqproof · cited by 11