{"id":"third-max-distinct-invariant","text":"The duplicate-skip guard (`if n in (first, second, third)`) ensures `first`, `second`, and `third` are always mutually distinct when non-`None` throughout execution.","truth_value":"IN","source":"entries/2026/06/06/third-maximum-number-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"third-max-distinct-invariant","truth_value":"IN","reason":"premise"}]}}