Theorems · Theorem · number theory
IsCyclotomicExtension.isSeparable
∀ (S : Set ℕ) (K : Type w) (L : Type z) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [IsCyclotomicExtension S K L], Algebra.IsSeparable K L
- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
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
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- Polynomial.Xproof · cited by 1,639
- Subalgebraproof · cited by 1,353
- sub_selfproof · cited by 996
- map_oneproof · cited by 861
- Polynomial.aevalproof · cited by 615
- Algebra.adjoinproof · cited by 535
- map_powproof · cited by 503
Cited by3
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.isGaloisproof · cited by 13
- IsCyclotomicExtension.discr_prime_pow_ne_twoproof · cited by 4
- IsCyclotomicExtension.nonempty_algEquiv_adjoin_of_isSepClosedproof · cited by 1