Theorems · Theorem · number theory
Nat.emultiplicity_pow_sub_pow
∀ {p : ℕ},
Nat.Prime p →
Odd p →
∀ {x y : ℕ},
p ∣ x - y → ¬p ∣ x → ∀ (n : ℕ), emultiplicity p (x ^ n - y ^ n) = emultiplicity p (x - y) + emultiplicity p n- Defined in
- Mathlib.NumberTheory.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- Nat.Primestatement and proof · cited by 2,059
- Oddstatement and proof · cited by 364
- le_totalproof · cited by 294
- emultiplicitystatement and proof · cited by 156
- Nat.cast_powproof · cited by 131
- top_addproof · cited by 55
- emultiplicity_zeroproof · cited by 10
- Int.natCast_emultiplicityproof · cited by 7
- Int.emultiplicity_pow_sub_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- padicValNat.pow_sub_powproof · cited by 0