Theorems · Theorem · field theory

IsPurelyInseparable.exponent_min

∀ {K : Type u_2} {L : Type u_3} [inst : CommRing K] [inst_1 : Ring L] [inst_2 : Algebra K L]
  [inst_3 : IsPurelyInseparable.HasExponent K L] {e : ℕ},
  e < IsPurelyInseparable.exponent K L → ∃ a, a ^ ringExpChar K ^ e ∉ (algebraMap K L).range

Defined in

Mathlib.FieldTheory.PurelyInseparable.Exponent

Cited by

1 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebraIsPurelyInseparable.HasExponent