Theorems · Theorem · commutative algebra
UniqueFactorizationMonoid.squarefree_radical
∀ {M : Type u_1} [inst : CommMonoidWithZero M] [inst_1 : NormalizationMonoid M] [inst_2 : UniqueFactorizationMonoid M]
{a : M}, Squarefree (UniqueFactorizationMonoid.radical a)- Defined in
- Mathlib.RingTheory.Radical.Basic
- Cited by
- 0 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nontrivialproof · cited by 2,416
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- NormalizationMonoidstatement and proof · cited by 165
- Squarefreestatement · cited by 112
- UniqueFactorizationMonoid.radicalstatement and proof · cited by 64
- IsRadical.squarefreeproof · cited by 6
- UniqueFactorizationMonoid.isRadical_radicalproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.