linearDisjoint_comm — Mathlib

English

There is a standard equivalence between M LinearDisjoint N and N LinearDisjoint M in a commutative setting.

Русский

Существуют стандартные эквивалентности между M LinearDisjoint N и N LinearDisjoint M в коммутативной ситуации.

LaTeX

$$M.LinearDisjoint N \leftrightarrow N.LinearDisjoint M$$

Lean4

/-- Linear disjointness is symmetric in a commutative ring. -/
theorem linearDisjoint_comm : M.LinearDisjoint N ↔ N.LinearDisjoint M :=
  ⟨LinearDisjoint.symm, LinearDisjoint.symm⟩

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