Theorems · Theorem · number theory
PrimeMultiset.prod_ofPrime
∀ (p : Nat.Primes), (PrimeMultiset.ofPrime p).prod = ↑p
- Defined in
- Mathlib.Data.PNat.Factors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PNatstatement · cited by 392
- Nat.Primesstatement and proof · cited by 63
- Multiset.prod_singletonproof · cited by 29
- PrimeMultiset.prodstatement · cited by 23
- Nat.Primes.toPNatstatement and proof · cited by 11
- PrimeMultiset.ofPrimestatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- PNat.factorMultiset_ofPrimeproof · cited by 1