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Theorems · Theorem · number theory

Polynomial.separable_cyclotomic

∀ (n : ℕ) (K : Type u_2) [inst : Field K] [NeZero ↑n], (Polynomial.cyclotomic n K).Separable
Defined in
Mathlib.RingTheory.Polynomial.Cyclotomic.Basic
Cited by
2 results in Mathlib
Foundations
Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNeZero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.squarefree_cyclotomic · cited by 1Polynomial.squarefree_cyc…IsSepClosed.isCyclotomicExtension · cited by 0IsSepClosed.isCyclotomicE…Field · cited by 7404Fieldone_ne_zero · cited by 885one_ne_zeroPolynomial.cyclotomic · cited by 130Polynomial.cyclotomicPolynomial.Separable · cited by 117Polynomial.SeparablePolynomial.Separable.of_dvd · cited by 14Separable.of_dvdPolynomial.separable_X_pow_sub_C · cited by 6Polynomial.separable_X_po…Polynomial.cyclotomic.dvd_X_pow_sub_one · cited by 2cyclotomic.dvd_X_pow_sub_…Polynomial.separable_cyclotom…CITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.