{"id":"fixed-point-single-branch-collapse","text":"The `arr[mid] > mid` and `arr[mid] == mid` cases share the same search direction (left), collapsed into a single `arr[mid] >= mid` branch that differs only in whether `result` is updated.","truth_value":"IN","source":"entries/2026/06/06/fixed-point-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"fixed-point-single-branch-collapse","truth_value":"IN","reason":"premise"}]}}