Theorems · Theorem · number theory
IsCyclotomicExtension.splitting_field_cyclotomic
∀ (n : ℕ) [NeZero n] (K : Type w) (L : Type z) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
[IsCyclotomicExtension {n} K L], Polynomial.IsSplittingField K L (Polynomial.cyclotomic n K)If IsCyclotomicExtension {n} K L, then L is the splitting field of cyclotomic n K.
- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Subalgebraproof · cited by 1,353
- Algebra.adjoinproof · cited by 535
- IsPrimitiveRootproof · cited by 356
- IsCyclotomicExtensionstatement and proof · cited by 220
- Set.mem_singletonproof · cited by 183
- Classical.decEqproof · cited by 134
- Polynomial.cyclotomicstatement and proof · cited by 130
- Polynomial.rootSetproof · cited by 101
- Polynomial.IsSplittingFieldstatement · cited by 50
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