top_toSubalgebra — Mathlib

English

The top star subalgebra, viewed as a subalgebra, equals the top subalgebra.

Русский

Верхняя звездная подпалебра, рассмотренная как подпалебра, равна верхней подпалебре.

LaTeX

$$$(\top : StarSubalgebra R A).toSubalgebra = \top$$$

Lean4

@[simp]
theorem top_toSubalgebra : (⊤ : StarSubalgebra R A).toSubalgebra = ⊤ := by ext;
  simp
    -- Porting note: Lean can no longer prove this by `rfl`, it times out

Похожие утверждения