Theorems · Theorem · number theory
IntermediateField.isCyclotomicExtension_le_of_dvd
∀ (K : Type w) (L : Type z) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (n₁ n₂ : ℕ)
(F₁ F₂ : IntermediateField K L) [h₁ : IsCyclotomicExtension {n₁} K ↥F₁] [h₂ : IsCyclotomicExtension {n₂} K ↥F₂]
[NeZero n₂], n₁ ∣ n₂ → F₁ ≤ F₂- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 146 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
- IntermediateFieldstatement and proof · cited by 988
- IsCyclotomicExtensionstatement and proof · cited by 220
- IntermediateField.toSubalgebraproof · cited by 134
- IntermediateField.toSubalgebra_le_toSubalgebraproof · cited by 1
- IsCyclotomicExtension.le_of_dvdproof · cited by 1
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