Theorems · Theorem · number theory
Int.one_lt_radical_iff
∀ {z : ℤ}, 1 < UniqueFactorizationMonoid.radical z ↔ 1 < z.natAbs- Defined in
- Mathlib.RingTheory.Radical.NatInt
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniqueFactorizationMonoid.radicalstatement · cited by 64
- Nat.one_lt_castproof · cited by 21
- Nat.one_lt_radical_iffproof · cited by 3
- Int.radical_natAbs_eq_radicalproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Int.radical_le_one_iffproof · cited by 1
- Int.two_le_radical_iffproof · cited by 0