Hypergendered Logic Source
Hypergendered Logic — Page 272
D-AXIS-3: UF/AF active-axis successors entail three roles each: IH-own, IH-NOT-opposite, UD-own; they do not thereby entail PH-own, NOT-PH-opposite, or NOT-FD-own. D-AXIS-4: A canonical Hyper coordinate limit exists as HFLim(n,lambda) whenever lambda is a valid limit on that active axis; Ultra/Apex mirrors exist under their constructors. D-AXIS-5: Higher-coordinate limits contain only predecessor-prefix provenance; ordinary tail-SIH is not substituted for PSIH. D-AXIS-6: CUQB plus a canonical higher-category coordinate successor and its explicit UD premise proves SQI between adjacent coordinates. D-AXIS-7: Generalized LQSA gives the quality of a constructed H/U/A coordinate limit at least the supremum of all lower coordinate qualities. D-AXIS-8: HF2 remains distinct from HF<1>[2,Omega]; one is a dimensional lift, the other a coordinate successor. D-AXIS-9: SF^Omega_H != HF1; completed Hyper domain != UF1; completed Ultra domain != AF1. D-AXIS-10: The first four named categories are Supra, Hyper, Ultra, Apex. 408. Non-deductions and countermodel obligations ND-AXIS-1: PSIH(X;<lambda) does not entail inheritance of the limit coordinate itself. A model that adds that edge violates the strict upper bound. ND-AXIS-2: Hyper coordinate UD does not entail NOT-FD. A mixed-effect model with UD AND FD remains allowed. ND-AXIS-3: Ultra/Apex coordinate succession does not entail PH-own or NOT-PH-opposite, because those roles are not in their three-role constructors. ND-AXIS-4: Higher whole-quality does not entail a larger value of every anatomical measurement, hormone concentration, organ size, strength measure, or other local scalar. ND-AXIS-5: A coordinate limit does not entail a unique outward marker. Limit closure can be visually subtle or dramatic depending on explicit phenotype laws. ND-AXIS-6: Same visible phenotype does not collapse coordinate, dimensional order, category, major stage, SIH/PSIH provenance, or quality proof history. 409. Logical/structural inferences that remain weaker than theorem HI-AXIS-1: As active-axis coordinate depth becomes transfinite, phenotype prediction plausibly becomes more provenance-sensitive because many predecessor contributions can participate in closure-level interactions. HI-AXIS-2: Hyper coordinate limits plausibly support richer profile-interaction structures than individual successor coordinates because PH-own and NOT-PH-opposite relations are available over an unbounded predecessor prefix. HI-AXIS-3: Ultra/Apex coordinate limits plausibly express increasingly global compatibility or reliability transformations even without constitutive PH roles, but exact profile novelty is not forced. HI-AXIS-4: Diagnostic opacity may rise because a small outward difference can coexist with an enormous hidden difference in coordinate provenance, whole-quality magnitude, response space, or microstructure. HI-AXIS-5: A later major stage plausibly reorganizes not merely coordinates but the constructor grammar by which coordinates/dimensions/categories are produced, though this is not a theorem without a major-stage constructor law. 410. Causal deduction templates under axis-complete HGL
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:272.