Hypergendered Logic Source
Hypergendered Logic — Page 242
SameCardinality(SourceDomain(A),SourceDomain(B)) does NOT imply SameDimensionalOrder(A,B). The information added by dimensional ascent is organizational order: an axis of states whose members already encode completed lower axes. It is breadth-of-breadth rather than merely more leaves in one flat list. 325. Literal expansion, DAG sharing, and symbolic hyperdomain storage A literal expansion of SIH(SF1) into one textual IH conjunct per Hyperomega coordinate is not computationally appropriate. A literal expansion of SIH_dim(HF-domain) is even less appropriate because the source-domain is multidimensional. The canonical implementation stores AxisDescriptor and DimDomainDescriptor objects with typed bounds and generates proof obligations lazily. Provenance is preserved by keys such as (category, dimensional_order, coordinate_vector, polarity, operator-role). Compression may share immutable source objects; it may not erase indices, merge SIH with IH, or replace a dimensional domain by only its terminal state. 326. Dimensional Unflaw Quality Bridge (DUQB) SIH by itself is an inheritance relation and does not logically mean “higher quality.” The strengthened Hyper recurrence now supplies an explicit UD(HF_n)/UD(HM_n) conjunct at every HF2+/HM2+ dimensional lift. Quality comparison is therefore licensed only through a bridge whose antecedent includes that UD fact; the bridge must not pretend that SIH alone generated quality. DimLift(S,T) AND UD_T(S) => SignificantIncrease(Q(S),Q(T)). [Dimensional Unflaw Quality Bridge, DUQB] Once the entering whole-quality magnitude is transfinite, DUQB plus the existing magnitude-crossing semantics forces the target to reach at least the next successor-cardinal magnitude. This theorem applies directly to HF2+/HM2+, UF2+/UM2+, and AF2+/AM2+ because every one of those canonical internal dimensional successors now explicitly contains UD of its same-side predecessor. SIH alone still does not entail SQI; the explicit UD antecedent plus DimLift is what activates DUQB. 327. Category Superinheritance Quality Bridge (CSQB) A category lift such as completed Supra -> HF1, completed Hyper dimensional domain -> UF1, or completed Ultra dimensional domain -> AF1 is even stronger structurally than one within-category dimensional lift. To make the intended quality monotonicity explicit, HGL adopts a separately named Category Superinheritance Quality Bridge. CategoryLift(C,T) AND T=SIH_dim(C-domain) AND mirror-nonstate superinheritance => SignificantIncrease(Q(C_completed),Q(T)). CSQB is not derivable merely from the name Hyper, Ultra, or Apex. It is a stipulation of the fictional biology. Once adopted, it makes every genuine named category lift a whole-quality magnitude crossing; transfinite entry again requires at least a successor-cardinal magnitude. 328. What SIH alone does and does not deduce From SIH alone one may deduce axis/domain inheritance membership, projected predecessor/nonstate content, source cardinality bounds supplied by the domain, dimensional provenance, and the noncollapse facts explicitly axiomatised. One may not deduce a specific body shape, a specific Gamma, a specific quality jump, or a specific causal effect unless another axiom supplies the bridge. DUQB/CSQB supply quality for canonical lifts; phenotype maps supply exact anatomy. 329. SIH and FD/UD SIH, UD, and FD remain different operator families. SIH answers “what complete source geometry is inherited?” UD answers “does this physically instantiated contribution significantly improve the whole form?” FD asks whether any local physical extent is degraded. A source-domain can be SIH-inherited without its quality status being logically known unless DUQB/CSQB or another rule states it.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:242.