Theorems · Theorem · number theory
Nat.toFinset_factors
∀ (n : ℕ), n.primeFactorsList.toFinset = n.primeFactors
- Defined in
- Mathlib.Data.Nat.PrimeFin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Nat.primeFactorsstatement · cited by 129
- List.toFinsetstatement · cited by 108
- Nat.primeFactorsListstatement · cited by 105
Cited by3
Results whose statement or proof uses this declaration.
- Nat.prod_primeFactors_of_squarefreeproof · cited by 7
- Nat.card_finMulAntidiag_of_squarefreeproof · cited by 1
- ArithmeticFunction.cardDistinctFactors_eq_one_iffproof · cited by 1