Theorems · Definition · field theory

IntermediateField.extendRight

{K : Type u_1} →
  {L : Type u_2} →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] →
          IntermediateField K L →
            (M : Type u_3) →
              [inst_3 : Field M] →
                [inst_4 : Algebra K M] → [inst_5 : Algebra L M] → [IsScalarTower K L M] → IntermediateField K M

The image of the intermediate field F of L/K under the inclusion L ⊆ M, viewed as an intermediate field of M/K.

Defined in

Mathlib.FieldTheory.IntermediateField.ExtendRight

Cited by

8 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFieldAlgebraAlgebraIsScalarTower