Theorems · Theorem · field theory
Polynomial.natSepDegree_pow_of_ne_zero
∀ {F : Type u} [inst : Field F] (f : Polynomial F) {n : ℕ}, n ≠ 0 → (f ^ n).natSepDegree = f.natSepDegree- Defined in
- Mathlib.FieldTheory.SeparableDegree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natSepDegreestatement and proof · cited by 53
- Polynomial.natSepDegree_powproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Monic.eq_X_pow_char_pow_sub_C_pow_of_natSepDegree_eq_oneproof · cited by 1