Theorems · Theorem · number theory
Int.radical_natAbs_eq_radical
∀ {z : ℤ}, ↑(UniqueFactorizationMonoid.radical z.natAbs) = UniqueFactorizationMonoid.radical z- Defined in
- Mathlib.RingTheory.Radical.NatInt
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.prodproof · cited by 2,356
- Finset.mapproof · cited by 747
- Finset.prod_congrproof · cited by 646
- Nat.primeFactorsproof · cited by 129
- Finset.prod_mapproof · cited by 75
- UniqueFactorizationMonoid.radicalstatement and proof · cited by 64
- Nat.castEmbeddingproof · cited by 29
- Nat.cast_prodproof · cited by 15
- Nat.castEmbedding_applyproof · cited by 9
- Nat.radical_eq_prod_primeFactorsproof · cited by 7
- UniqueFactorizationMonoid.primeFactors_eq_primeFactors_natAbsproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Int.one_lt_radical_iffproof · cited by 2
- Int.radical_eq_prod_primeFactorsproof · cited by 1
- Int.radical_posproof · cited by 0