Theorems · Theorem · commutative algebra
UniqueFactorizationDomain.radical_neg_one
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizationMonoid R] [inst_2 : UniqueFactorizationMonoid R],
UniqueFactorizationMonoid.radical (-1) = 1- Defined in
- Mathlib.RingTheory.Radical.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- UniqueFactorizationMonoidstatement and proof · cited by 279
- NormalizationMonoidstatement and proof · cited by 165
- UniqueFactorizationMonoid.radicalstatement · cited by 64
- UniqueFactorizationMonoid.radical_oneproof · cited by 5
- UniqueFactorizationDomain.radical_negproof · cited by 1
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