Theorems · Theorem · field theory

IntermediateField.LinearDisjoint.of_le_left

∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {A : IntermediateField F E}
  {L : Type w} [inst_3 : Field L] [inst_4 : Algebra F L] [inst_5 : Algebra L E] [inst_6 : IsScalarTower F L E]
  {A' : IntermediateField F E}, A.LinearDisjoint L → A' ≤ A → A'.LinearDisjoint L

Defined in

Mathlib.FieldTheory.LinearDisjoint

Cited by

2 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFieldAlgebraAlgebraIsScalarTower