{"id":"set-for-o1-membership-universal","text":"Set conversion before scanning loops is a standard repo-wide pattern for upgrading membership/dedup operations from O(n) to O(1) per check.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["set-conversion-before-loop-for-o1-lookup","k-distant-uses-set-dedup","find-difference-set-minus-idiom","two-out-of-three-set-algebra"],"outlist":[],"label":"Set algebra (intersection, difference, membership) replaces manual iteration wherever applicable"}],"dependents":["hash-preprocessing-universal-first-step","lookup-abstraction-trio-covers-all-queries"],"metadata":{"last_reviewed":"2026-06-07T22:02:22","review_result":"pass"},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"set-for-o1-membership-universal","truth_value":"IN","reason":"SL justification valid","antecedents":["set-conversion-before-loop-for-o1-lookup","k-distant-uses-set-dedup","find-difference-set-minus-idiom","two-out-of-three-set-algebra"],"label":"Set algebra (intersection, difference, membership) replaces manual iteration wherever applicable"},{"node":"set-conversion-before-loop-for-o1-lookup","truth_value":"IN","reason":"premise"},{"node":"k-distant-uses-set-dedup","truth_value":"IN","reason":"premise"},{"node":"find-difference-set-minus-idiom","truth_value":"IN","reason":"premise"},{"node":"two-out-of-three-set-algebra","truth_value":"IN","reason":"premise"}]}}