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Theorems · Theorem · number theory

IsCyclotomicExtension.neZero_of_mem

∀ (n : ℕ) [NeZero n] (S : Set ℕ) (A : Type u) (B : Type v) [inst : CommRing A] [inst_1 : CommRing B]
  [inst_2 : Algebra A B] [IsCyclotomicExtension S A B] [IsDomain B], n ∈ S → NeZero ↑n
Defined in
Mathlib.NumberTheory.Cyclotomic.Basic
Cited by
1 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NeZeroCommRingCommRingAlgebraIsCyclotomicExtensionIsDomain
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Around this declaration

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IsCyclotomicExtension.neZero · cited by 0IsCyclotomicExtension.neZ…Set · cited by 53352SetCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraIsDomain · cited by 2196IsDomainIsCyclotomicExtension · cited by 220IsCyclotomicExtensionIsCyclotomicExtension.exists_isPrimitiveRoot · cited by 14IsCyclotomicExtension.exi…IsPrimitiveRoot.neZero' · cited by 1IsPrimitiveRoot.neZero'IsCyclotomicExtension.neZero_…CITED BYCITES

Cites7

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Cited by1

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