result,manuscript_reference,verification_family Operator axioms,Proposition 2.2,operator_axioms Survivor formula and injection,Theorem 3.1,all_distinct_action_protocols Universal observer,Theorem 3.3,universal_classifier_and_subsequence_formula Sharp single-block threshold,Theorem 4.1,sharp_pair_guard_optimum; six_cell_sharp_triad Context-forced duality,Theorem 8.2,tensor_sharp_guard_optimum Delayed parity,Theorem 5.1,all_distinct_action_protocols Commuting histogram obstruction,Theorem 6.1,commuting_parity_histogram_no_go Exact certificate bounds,Theorems 7.2 and 8.3,exact_DNF_certificate_bound Tensor extension,Theorem 8.1,tensor_all_interleavings; tensor_seeded_larger_cases Domain restrictions,Section 7.1 and Section 9,adversarial_boundaries