Theorems · Theorem · number theory
Nat.Prime.emultiplicity_pow_self
∀ {p n : ℕ}, Nat.Prime p → emultiplicity p (p ^ n) = ↑n- Defined in
- Mathlib.Data.Nat.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement · cited by 4,985
- Nat.Primestatement and proof · cited by 2,059
- emultiplicitystatement · cited by 156
- Nat.Prime.ne_zeroproof · cited by 109
- Prime.not_isUnitproof · cited by 29
- Nat.Prime.primeproof · cited by 19
- emultiplicity_pow_selfproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Prime.emultiplicity_choose_prime_pow_add_emultiplicityproof · cited by 2