nonPrincipals_def — Mathlib

English

Equality of membership: I ∈ nonPrincipals R iff ¬ I.IsPrincipal.

Русский

Членство: I ∈ nonPrincipals R тогда и только тогда, когда I не принципиален.

LaTeX

$$$ I \in {I : Ideal R | \neg I.IsPrincipal} \iff \neg I.IsPrincipal $$$

Lean4

@[deprecated "Not necessary anymore since Ideal.nonPrincipals is an abrev." (since := "2025-09-30")]
theorem nonPrincipals_def {I : Ideal R} : I ∈ {I : Ideal R | ¬I.IsPrincipal} ↔ ¬I.IsPrincipal :=
  Iff.rfl

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