The order defects of the children `Bⱼ`, measured over their own DVRs `Oⱼ` (in which `π` stays a uniformizer), are at most the order defect of `A`, and strictly smaller when `ℓ ≥ 1`.

Initializing...

The order defects of the children `Bⱼ`, measured over their own DVRs `Oⱼ` (in which `π` stays a uniformizer), are at most the order defect of `A`, and strictly smaller when `ℓ ≥ 1`. · Prove2Me