Theorems · Definition · number theory
Nat.Primes
Type
The type of prime numbers
- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primeproof · cited by 2,059
Cited by73
Results whose statement or proof uses this declaration.
- PrimeMultisetproof · cited by 30
- Nat.Primes.toPNatstatement and proof · cited by 11
- Nat.Primes.prodNatEquivstatement and proof · cited by 8
- PrimeMultiset.factorMultiset_prodproof · cited by 7
- PrimeMultiset.ofPrimestatement and proof · cited by 6
- Rat.HeightOneSpectrum.primesEquivstatement and proof · cited by 6
- Rat.HeightOneSpectrum.adicCompletion.padicEquivstatement · cited by 5
- EulerProduct.eulerProduct_hasProdstatement · cited by 4
- Rat.HeightOneSpectrum.adicCompletionIntegers.padicIntEquivstatement · cited by 4
- DirichletCharacter.LSeries_eulerProduct_exp_logstatement and proof · cited by 3
- EulerProduct.eulerProduct_completely_multiplicative_hasProdstatement and proof · cited by 3
- Padic.adicCompletionEquivstatement and proof · cited by 2