Theorems · Theorem · field theory

rootOfSplitsXPowSubC.congr_simp

∀ {K : Type u} [inst : Field K] {n n_1 : ℕ} (e_n : n = n_1) (hn : 0 < n) (a a_1 : K) (e_a : a = a_1) (L : Type u_2)
  [inst_1 : Field L] [inst_2 : Algebra K L]
  [inst_3 : Polynomial.IsSplittingField K L (Polynomial.X ^ n - Polynomial.C a)],
  rootOfSplitsXPowSubC hn a L = rootOfSplitsXPowSubC ⋯ a_1 L

Defined in: Mathlib.FieldTheory.KummerExtension
Cited by: 0 results in Mathlib
Foundations: Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra Polynomial.IsSplittingField

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rootOfSplitsXPowSubCstatement and proof · cited by 4

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