Theorems · Theorem · field theory

IntermediateField.intermediateFieldMap_symm_apply_coe

∀ {K : Type u_1} {L : Type u_2} {L' : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Field L']
  [inst_3 : Algebra K L] [inst_4 : Algebra K L'] (e : L ≃ₐ[K] L') (E : IntermediateField K L)
  (a : ↥(IntermediateField.map (↑e) E)), ↑((IntermediateField.intermediateFieldMap e E).symm a) = e.symm ↑a

Defined in

Mathlib.FieldTheory.IntermediateField.Basic

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldFieldAlgebraAlgebra