{"id":"dominance-via-second-max-sufficiency","text":"Checking `max_val >= 2 * second_max` is sufficient to verify dominance over all elements, because if the max is at least twice the second-largest, it is at least twice every smaller element — used in `largest-number-at-least-twice-of-others`","truth_value":"IN","source":"entries/2026/06/06/largest-number-at-least-twice-of-others-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"dominance-via-second-max-sufficiency","truth_value":"IN","reason":"premise"}]}}