Gate 3: the complete characteristic operation

Construct the joint map on tests meeting the characteristic locus, then its joint section and controlled remainder, uniform transverse estimates, contact compatibility, and complete output wavefront theorem.

The required full internal sum retains

with both $K_5$ placements. The supported $K_6+K_8+K_9$ reference is not the full map. Internal pole estimates do not define the subsequent grouped cross-line operation CheungXIVH,CheungXIVI,CheungXIVJ.

Em01-C's crossing-locus target and XIII-E's alternative characteristic-limit target also retain their own missing hypotheses CheungEmIC,CheungXIIIE. VII-C's obstruction and VII-D's finite part are separate comparisons, not substitutes CheungVIIC,CheungVIID.

condition. Actual joint distributions, reconstruction descent, coherent extensions, spectator compatibility, and admitted final outputs for the same complete coefficient.

not release. A defined internal line, proper projection, finite normal jet, or collision extension theorem does not define an absent characteristic product. A completed mathematical graph still does not by itself establish a Ward identity or open an inherited exit without its exact admission and comparison obligations.