For a Noetherian local ring `(A, m)` with completion `Â`, the quotient `Â/(m Â)^L` is `A`-isomorphic to `A/m^L`, compatibly with the maps from `A`.

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For a Noetherian local ring `(A, m)` with completion `Â`, the quotient `Â/(m Â)^L` is `A`-isomorphic to `A/m^L`, compatibly with the maps from `A`. · Prove2Me