bot_right — Mathlib

English

For any intermediate field A ⊆ E over F, A is linearly disjoint from the bottom intermediate field ⊥ (which corresponds to F).

Русский

Для любого промежуточного поля A ⊆ E над F, A линейно неразделимо с нижним полем ⊥ (соответствующим F).

LaTeX

$$$A.LinearDisjoint (\\bot : \\text{IntermediateField } F E).$$$

Lean4

theorem bot_right : A.LinearDisjoint (⊥ : IntermediateField F E) :=
  linearDisjoint_iff'.2 (Subalgebra.LinearDisjoint.bot_right _)

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