Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.finrank
∀ (k : ℕ) (K : Type u) [inst : Field K] [inst_1 : CharZero K] [NeZero k] [IsCyclotomicExtension {k} ℚ K],
Module.finrank ℚ K = k.totient- Cited by
- 4 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Module.finrankstatement · cited by 1,770
- CharZerostatement and proof · cited by 932
- IsCyclotomicExtensionstatement and proof · cited by 220
- Nat.totientstatement · cited by 111
- NeZero.posproof · cited by 57
- Polynomial.cyclotomic.irreducible_ratproof · cited by 18
- IsCyclotomicExtension.finrankproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.ramificationIdx_span_zeta_sub_oneproof · cited by 4
- IsCyclotomicExtension.Rat.ncard_primesOver_of_prime_powproof · cited by 2
- IsCyclotomicExtension.Rat.discrproof · cited by 1
- IsCyclotomicExtension.Rat.torsionOrder_eqproof · cited by 0