Theorems · Theorem · number theory
IsCyclotomicExtension.subsingleton_iff
∀ (S : Set ℕ) (A : Type u) (B : Type v) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B]
[Subsingleton B], IsCyclotomicExtension S A B ↔ S ⊆ {0, 1}- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Top.topproof · cited by 9,680
- Set.ofPredproof · cited by 6,101
- Subalgebraproof · cited by 1,353
- Algebra.adjoinproof · cited by 535
- IsPrimitiveRootproof · cited by 356
- IsCyclotomicExtensionstatement and proof · cited by 220
- Algebra.mem_topproof · cited by 10
- IsPrimitiveRoot.uniqueproof · cited by 8
- IsPrimitiveRoot.of_subsingletonproof · cited by 1
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