Theorems · Theorem · number theory
UniqueFactorizationMonoid.primeFactors_eq_primeFactors_natAbs
∀ {z : ℤ}, UniqueFactorizationMonoid.primeFactors z = Finset.map Nat.castEmbedding z.natAbs.primeFactors- Defined in
- Mathlib.RingTheory.Radical.NatInt
- 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Nat.Primeproof · cited by 2,059
- eq_or_neproof · cited by 1,117
- Finset.mapstatement and proof · cited by 747
- Finset.extproof · cited by 565
- Primeproof · cited by 277
- normalizeproof · cited by 137
- Nat.primeFactorsstatement and proof · cited by 129
- UniqueFactorizationMonoid.primeFactorsstatement · cited by 32
- Finset.mem_mapproof · cited by 32
- Function.Embedding.inj'proof · cited by 29
- Nat.castEmbeddingstatement and proof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- Int.radical_natAbs_eq_radicalproof · cited by 3