Theorems · Definition · field theory

IntermediateField.copy

{K : Type u_1} →
  {L : Type u_2} →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] → (S : IntermediateField K L) → (s : Set L) → s = ↑S → IntermediateField K L

Copy of an intermediate field with a new carrier equal to the old one. Useful to fix definitional equalities.

Defined in

Mathlib.FieldTheory.IntermediateField.Basic

Cited by

2 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebra