symm — Mathlib

English

Linear disjointness is symmetric in a commutative ring: M.LinearDisjoint N iff N.LinearDisjoint M.

Русский

Линейная несовместность симметрична в коммутативном кольце: M LinearDisjoint N эквивалентно N LinearDisjoint M.

LaTeX

$$M.LinearDisjoint N \iff N.LinearDisjoint M$$

Lean4

/-- Linear disjointness is symmetric in a commutative ring. -/
theorem symm (H : M.LinearDisjoint N) : N.LinearDisjoint M :=
  H.symm_of_commute fun _ _ ↦ mul_comm _ _

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