Theorems · Theorem · number theory
Nat.Primes.prodNatEquiv_apply
∀ (p : Nat.Primes) (k : ℕ), Nat.Primes.prodNatEquiv (p, k) = ⟨↑p ^ (k + 1), ⋯⟩
- Defined in
- Mathlib.Data.Nat.Factorization.PrimePow
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Nat.Primestatement · cited by 2,059
- Subtype.propstatement · cited by 505
- Primestatement · cited by 277
- IsPrimePowstatement · cited by 77
- Nat.Primesstatement and proof · cited by 63
- Nat.prime_iffstatement · cited by 20
- Nat.Primes.prodNatEquivstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- tsum_primes_pow_eqproof · cited by 2
- tprod_primes_pow_eqproof · cited by 1