Theorems · Theorem · field theory

IsPurelyInseparable.elemExponent_le_exponent

∀ (K : Type u_2) {L : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  [inst_3 : IsPurelyInseparable K L] [inst_4 : IsPurelyInseparable.HasExponent K L] (a : L),
  IsPurelyInseparable.elemExponent K a ≤ IsPurelyInseparable.exponent K L

An exponent of an element is less or equal than exponent of the extension.

Defined in

Mathlib.FieldTheory.PurelyInseparable.Exponent

Cited by

0 results in Mathlib

Foundations

Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraIsPurelyInseparableIsPurelyInseparable.HasExponent