Theorems · Theorem · number theory
Nat.ordCompl_dvd_ordCompl_of_dvd
∀ {a b : ℕ}, a ∣ b → ∀ (p : ℕ), a / p ^ a.factorization p ∣ b / p ^ b.factorization p- Defined in
- Mathlib.Data.Nat.Factorization.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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 and proof · cited by 5,255
- Nat.Primeproof · cited by 2,059
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- Nat.factorizationstatement and proof · cited by 215
- Finsupp.eraseproof · cited by 46
- zero_dvd_iffproof · cited by 37
- Nat.factorization_zeroproof · cited by 32
- Nat.factorization_eq_zero_of_not_primeproof · cited by 22
- Nat.factorization_le_iff_dvdproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Nat.ordCompl_dvd_ordCompl_iff_dvdproof · cited by 0