Theorems · Theorem · number theory
Nat.factorization_ordCompl
∀ (n p : ℕ), (n / p ^ n.factorization p).factorization = Finsupp.erase p n.factorization
- Defined in
- Mathlib.Data.Nat.Factorization.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- mul_oneproof · cited by 3,885
- Nat.Primeproof · cited by 2,059
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- Finsupp.singleproof · cited by 943
- Finsupp.extproof · cited by 399
- Nat.factorizationstatement and proof · cited by 215
- tsub_zeroproof · cited by 123
- Finsupp.smul_singleproof · cited by 48
- Finsupp.erasestatement and proof · cited by 46
Cited by3
Results whose statement or proof uses this declaration.
- Nat.ordCompl_dvd_ordCompl_of_dvdproof · cited by 1
- IsPrimePow.exists_ordCompl_eq_oneproof · cited by 1
- Nat.dvd_ordCompl_of_dvd_not_dvdproof · cited by 1