Theorems · Theorem · field theory

Algebra.normalizedTrace_map

∀ (F : Type u_1) (K : Type u_2) [inst : Field F] [inst_1 : Field K] [inst_2 : Algebra F K] [inst_3 : CharZero F]
  [inst_4 : Algebra.IsIntegral F K] {E : Type u_3} [inst_5 : Field E] [inst_6 : Algebra F E]
  [inst_7 : Algebra.IsIntegral F E] (f : E →ₐ[F] K) (a : E),
  (Algebra.normalizedTrace F K) (f a) = (Algebra.normalizedTrace F E) a

The normalized trace transfers via (injective) maps.

Defined in

Mathlib.FieldTheory.NormalizedTrace

Cited by

2 results in Mathlib

Foundations

Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraCharZeroAlgebra.IsIntegralFieldAlgebraAlgebra.IsIntegral