Theorems · Theorem · field theory

IntermediateField.comap_map

∀ {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'] (f : L →ₐ[K] L') (S : IntermediateField K L),
  IntermediateField.comap f (IntermediateField.map f S) = S

Defined in

Mathlib.FieldTheory.IntermediateField.Adjoin.Defs

Cited by

1 results in Mathlib

Foundations

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

Assumes

FieldFieldFieldAlgebraAlgebra