{"id":"tax-min-clamp-marginal-taxation","text":"`min(upper, income)` prevents a bracket from taxing more income than actually earned, which is the core invariant ensuring correct progressive (not flat) taxation.","truth_value":"IN","source":"entries/2026/06/06/calculate-amount-paid-in-taxes-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"tax-min-clamp-marginal-taxation","truth_value":"IN","reason":"premise"}]}}