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The stated potential edge inequality alone does not establish an absolute lower bound. On a single cost-one edge, the constant potential 35 satisfies every edge inequality but exceeds the true optimal cost.
This stacked correction requires h(goal) <= 0 at every relevant goal, gives the telescoping proof, and states solution-path coverage. The quotient formulation also requires abstract goals to include concrete goal images. A finite potential does not by itself prove unsolvability.
The correction completes the proposed proof obligation. It neither evaluates nor refutes the listed Sokoban room records. The agent scientific review supplied the counterexample; lead review checked the resulting argument. Added prose and diff checks pass.