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PlanProof is an AI-assisted room-planning and pre-construction verification system designed to bridge the gap between interior design and physical implementation. Traditional room planners help users visualize furniture, but a visually attractive layout can still fail during installation. A wardrobe may obstruct a switchboard, furniture may interfere with a door swing, or a proposed arrangement may leave insufficient clearance. PlanProof connects an editable 2D floor plan with a synchronized Three.js 3D room. Users can define room dimensions, openings, furniture, wall utilities and materials, then evaluate the arrangement using deterministic spatial geometry checks. Its central innovation is a verifiable AI workflow: Meta Muse Spark interprets natural-language instructions and proposes spatial changes. PlanProof applies each proposal to a candidate layout and independently evaluates it using deterministic geometry before accepting or rejecting it. The system also connects room planning to practical procurement. Ready-made furniture is treated as a purchase, while custom-made furniture can enter plywood nesting only when an explicit construction recipe is provided. Measurements, catalogue defaults and estimates retain their provenance. PlanProof is designed to make uncertainty visible rather than presenting an attractive visualization as a construction guarantee. AI proposes. Deterministic geometry evaluates.