Theorems · Theorem · number theory
Nat.radical_le_self_iff
∀ {n : ℕ}, UniqueFactorizationMonoid.radical n ≤ n ↔ n ≠ 0- Defined in
- Mathlib.RingTheory.Radical.NatInt
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniqueFactorizationMonoid.radicalstatement and proof · cited by 64
- UniqueFactorizationMonoid.radical_dvd_selfproof · cited by 7
- UniqueFactorizationMonoid.radical_zeroproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Nat.self_lt_radical_iffproof · cited by 0