Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.isCMField
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] {S : Set ℕ},
(∃ n ∈ S, 2 < n) → ∀ [IsCyclotomicExtension S ℚ K], NumberField.IsCMField KA nontrivial cyclotomic extension of ℚ is CM.
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 310 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Fieldstatement and proof · cited by 7,404
- CharZerostatement and proof · cited by 932
- ne_of_gtproof · cited by 637
- IntermediateField.adjoinproof · cited by 382
- IsPrimitiveRootproof · cited by 356
- Algebra.IsIntegralproof · cited by 224
- IsCyclotomicExtensionstatement and proof · cited by 220
- lt_transproof · cited by 165
- NumberField.IsCMFieldstatement · cited by 45
- NumberField.IsTotallyComplexproof · cited by 19
- IsCyclotomicExtension.exists_isPrimitiveRootproof · cited by 14
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.