The proposal is not semantically faithful. Its inner natural-number binder shadows the fixed outer real parameter and forces A(1) to equal two different finite extrema. It also checks only the whole candidate sum, accepting {1,2,3} for target 4 even though the subset {1,3} sums to 4. The corrected asymptotic statement and Lean compilation are not assessed.
RESULT_JSON: {"semantic_status":"NOT_EQUIVALENT","defects":["OUTER_PARAMETER_SHADOWED","WHOLE_SET_SUM_REPLACES_SUBSET_SUM"],"shadowing_certificate":{"target":1,"first_multiplier":0,"second_multiplier":2,"first_extremum":0,"second_extremum":2},"predicate_certificate":{"target":4,"universe":[1,2,3],"legacy_extremum":3,"intended_extremum":2,"legacy_witness":[1,2,3],"intended_witness":[1,2],"blocking_subset":[1,3]}}
