Theorems · Theorem · number theory
Nat.primeFactors_pow_succ
∀ (n k : ℕ), (n ^ (k + 1)).primeFactors = n.primeFactors
- Defined in
- Mathlib.Data.Nat.PrimeFin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- zero_addproof · cited by 2,366
- eq_or_neproof · cited by 1,117
- pow_oneproof · cited by 894
- zero_powproof · cited by 361
- pow_ne_zeroproof · cited by 208
- Nat.primeFactorsstatement and proof · cited by 129
- Nat.primeFactors_zeroproof · cited by 11
- Finset.union_idempotentproof · cited by 11
- Nat.primeFactors_mulproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Nat.primeFactors_powproof · cited by 4