Additivity of the order defect over a DVR: for an injection `ψ : A → ∏ⱼ Bⱼ` with cokernel of length `ℓ`, `orderDefect O A = Σⱼ orderDefect O (Bⱼ) + ℓ`.

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Additivity of the order defect over a DVR: for an injection `ψ : A → ∏ⱼ Bⱼ` with cokernel of length `ℓ`, `orderDefect O A = Σⱼ orderDefect O (Bⱼ) + ℓ`. · Prove2Me