If `A ↪ ∏ⱼ Bⱼ` has cokernel of length `ℓ` and `A` has finite order defect, then each `Bⱼ` has finite order defect at most that of `A`, strictly smaller when `ℓ ≥ 1`.

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If `A ↪ ∏ⱼ Bⱼ` has cokernel of length `ℓ` and `A` has finite order defect, then each `Bⱼ` has finite order defect at most that of `A`, strictly smaller when `ℓ ≥ 1`. · Prove2Me