Theorems · Theorem · number theory
Nat.pow_succ_factorization_not_dvd
∀ {n p : ℕ}, n ≠ 0 → Nat.Prime p → ¬p ^ (n.factorization p + 1) ∣ n- Defined in
- Mathlib.Data.Nat.Factorization.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Finsuppstatement · cited by 5,255
- mul_oneproof · cited by 3,885
- Nat.Primestatement and proof · cited by 2,059
- Finsupp.singleproof · cited by 943
- Nat.factorizationstatement and proof · cited by 215
- pow_ne_zeroproof · cited by 208
- Finsupp.single_eq_sameproof · cited by 171
- Nat.Prime.ne_zeroproof · cited by 109
- Finsupp.smul_singleproof · cited by 48
- Finsupp.single_addproof · cited by 23
- Nat.factorization_le_iff_dvdproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoid.exists_addOrderOf_eq_exponentproof · cited by 1
- Monoid.exists_orderOf_eq_exponentproof · cited by 1