Theorems · Theorem · number theory
Int.radical_eq_prod_primeFactors
∀ {z : ℤ}, UniqueFactorizationMonoid.radical z = ↑(∏ p ∈ z.natAbs.primeFactors, p)- Defined in
- Mathlib.RingTheory.Radical.NatInt
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.prodstatement and proof · cited by 2,356
- Nat.primeFactorsstatement and proof · cited by 129
- UniqueFactorizationMonoid.radicalstatement · cited by 64
- Nat.radical_eq_prod_primeFactorsproof · cited by 7
- Int.radical_natAbs_eq_radicalproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Int.radical_natCastproof · cited by 0