| id,statement,title,location,status,classification | |
| T01,Theorem 1,same-width repair and factorization criterion,Section 2,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T02,Theorem 2,global width and complete directional failure,Section 3,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T03,Theorem 3,arbitrary-rank labelled reserve law,Section 4,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T04,Theorem 4,canonical factor and sharp distance to blindness,Section 5,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T05,Theorem 5,polar stability and necessary inverse-margin growth,Section 6,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T06,Theorem 6,sharp chart count with an explicit construction,Section 7,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T07,Theorem 7,coordinate coverage and guaranteed margin,Section 8,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T08,Theorem 8,higher-rank transport and graph compatibility,Section 9,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| T09,Theorem 9,repaired ledger and noisy decoder,Section 10,proof supplied; internal audit; computational constructions checked,deduction or synthesis using credited classical inputs | |
| A1,Proposition A1,exact minimum and causal completion,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A2,Proposition A2,co-moving response span,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A3,Proposition A3,minimum scanner rank,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A4,Proposition A4,stable decoding and transcript recovery,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A5,Proposition A5,one-coordinate prefix growth,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A6,Proposition A6,a strict chronological effect,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A7,Proposition A7,sharp separated-width bound,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A8,Proposition A8,general colour coarsening,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A9,Proposition A9,fixed-memory no-feedback obstruction,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A10,Proposition A10,visible-only reset and coordinate covariance,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A11,Proposition A11,local scanner criterion,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A12,Proposition A12,optimal uniform energy approximation,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A13,Proposition A13,threshold stability and exact-rank jumps,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A14,Proposition A14,sharp global scalar-channel obstruction,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A15,Proposition A15,local versus globally continuous labelled width,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| A16,Proposition A16,zero-width protection of a marked line,Appendix A,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B1,Proposition B1,rank-one global minimax law,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B2,Proposition B2,sharp global cost for a shared ray,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B3,Proposition B3,regularity-controlled blind region,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B4,Proposition B4,optimal one-coordinate reference encoder,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B5,Proposition B5,sharp breakdown radius and sensitivity order,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B6,Proposition B6,minimal atlas and optimal guaranteed recognition,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B7,Proposition B7,passive-protection/active-recognition incompatibility,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B8,Proposition B8,canonical pair transport and stability,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B9,Proposition B9,cycle compatibility of canonical recognition,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B10,Proposition B10,global relational section and its exact information content,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B11,Proposition B11,exact globally continuous relational completion,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B12,Proposition B12,continuous nonlinear scalar energy readout,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |
| B13,Proposition B13,pathwise recognition and its history dependence,Appendix B,proof supplied; retained finite-word/rank-one audit,classical ingredient or model deduction; priority unverified | |