Hypergendered Logic Source
Hypergendered Logic — Page 252
Superseded: flat named order Supra -> Hyper -> Apex -> Ultra. Current: Supra -> Hyper -> Ultra -> Apex. Superseded: every minor hypercategory is one flat Hyperomega substage ladder. Current: Supra is foundational one-axis; Hyper and later named categories can contain recursively higher-dimensional strata. Superseded globally: both Address=(major,minor,substage) and the later Address=(major,minor,dimensional_order,coordinate_vector) as complete global addresses. Current global address=(Hyperstage,Stage,Substage,Substage^2,Substage^3); the category/dimensional/vector tuple survives only as InternalHGLDescriptor metadata. Superseded: HF2 can be read as the second coordinate of HF1. Current: HF2 is a new dimensional order; HF<1>[2,Omega] is a coordinate within HF1. Retained: PA irreducibility; IH/PH source sensitivity; LSCC limit construction; UD/FD scope distinction; Q=<mu,delta>; fixed-address modal K; Gamma noninjectivity; ordinary womanhood/manhood independence from Archaddress; D/HI/CD/CI proof-status discipline. Appendix AY — Python-Verifier Formal Requirements The verifier must parse/construct: typed AxisDescriptor, DimDomainDescriptor, CoordinateVector, HyperState, SIHClosure, DimLift, CategoryLift, and SourceKey. It must reject: wrong vector lengths; unsaturated lower coordinates in canonical seed forms; category-lift selfmembership; SIH/terminal-IH flattening; NOT migration; HF2/HF[2,Omega] collapse; old category ordering; old boundary identity; untyped multidimensional SIH where ambiguity exists. It must verify: arbitrary queried SIH tail membership; negated-domain membership; dimensional recursion for finite n; source cardinality/dimension nonimplication; DUQB/CSQB quality conclusions; compatibility with LSCC-produced source stages; full-address serialization; symmetry of female/male formulas. Appendix AZ — Final Canonical Quick Reference: SIH Hyperdimensional Edition LOCAL FOUNDATION: SF1/SM1 PA-only; SF2/SM2 eight-conjunct Profile-Exclusion base; ordinal-general Stage3+ six-conjunct successor; LSCC constructs limits using the same profile-exclusion semantics; Q=<mu,delta>; SUQB/LQSA retain their roles. SIH_AXIS(X[a]) = source-preserving superinheritance of every X[beta] on the selected typed tail through Omega. SIH(NOT X) != NOT SIH(X). SIH_AXIS(X) != IH(X[Omega]). STRICT LIFT: SF^Omega != HF1. HF1 = SIH_axis(SF1) AND SIH_axis(NOT SM1). HM mirror. HF1 coordinate family = HF<1>[alpha,Omega]. HF2 != HF<1>[2,Omega]. HF_(n+1)=SIH_axis(HF_n) AND SIH_axis(NOT HM_n) AND PH(HF_n) AND NOT PH(HM_n) AND UD(HF_n). Finite DimCount(HF_n)=n+1. UF1 = SIH_dim(HF-domain) AND SIH_dim(NOT HM-domain). For n>=1: UF_(n+1)=SIH_axis(UF_n) AND SIH_axis(NOT UM_n) AND UD(UF_n); UM mirror. Ultra shares the UD quality role with Hyper but not Hyper's PH/NOT-PH roles. AF1 = SIH_dim(UF-domain) AND SIH_dim(NOT UM-domain). For n>=1: AF_(n+1)=SIH_axis(AF_n) AND SIH_axis(NOT AM_n) AND UD(AF_n); AM mirror. Apex shares the UD quality role with Hyper/Ultra but not Hyper's PH/NOT-PH roles. CURRENT NAMED ORDER: SF/SM -> HF/HM -> UF/UM -> AF/AM -> unnamed higher minor categories. FULL GLOBAL ADDRESS: (Hyperstage, Stage, Substage, Substage^2, Substage^3). INTERNAL HGL DESCRIPTOR: category/dimensional-order/coordinate-vector/provenance data used to realize SF/HF/UF/AF logic inside an address. In base slice (0,0,0,c,n): c=1 Supra, c=2 Hyper, c=3 Ultra, c=4 Apex. Hyperstage is unbounded; all four intra-Hyperstage coordinates are Omega_H-bounded. QUALITY: SIH alone does not imply SQI. HF2+/HM2+ carry explicit own-side UD; DUQB converts DimLift + UD into SQI. CSQB remains separately explicit for category lifts. Transfinite SQI reaches at least a successor cardinal magnitude.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:252.