disjoint_iff_toSubmodule — Mathlib

English

Codisjointness is preserved under underlying Submodule

Русский

Кодисjointность сохраняется под подмодулями-основания

LaTeX

$$$\text{Codisjoint}(N,N') \;\Longleftrightarrow\; \text{Codisjoint}(N^{\text{toSubmodule}}, N'^{\text{toSubmodule}})$$$

Lean4

@[deprecated disjoint_toSubmodule (since := "2025-04-03")]
theorem disjoint_iff_toSubmodule : Disjoint N N' ↔ Disjoint (N : Submodule R M) (N' : Submodule R M) :=
  disjoint_toSubmodule.symm

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