Theorems · Theorem · number theory
IntermediateField.isCyclotomicExtension_eq
∀ (S : Set ℕ) (K : Type w) (L : Type z) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (F₁ F₂ : IntermediateField K L) [h₁ : IsCyclotomicExtension S K ↥F₁] [h₂ : IsCyclotomicExtension S K ↥F₂], F₁ = F₂
- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- 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_injproof · cited by 6
- IsCyclotomicExtension.eqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.adjoin_singleton_eq_topproof · cited by 3
- IsCyclotomicExtension.Rat.discrproof · cited by 1