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Slice the Same Actual Native Q Route

Abstract

Slice the Same Actual Native Q Route.

Theorem 1.1 (Earn Both Cut Occurrences from the Old Cycle).

Lean statement: D5/S3/Combinatorics/Graph/PrefixReversal/NativeActualQRouteSlicing.native_actual_q_route_three_fragments

Proof. Machine-checked in Lean as D5/S3/Combinatorics/Graph/PrefixReversal/NativeActualQRouteSlicing.native_actual_q_route_three_fragments (✓ std3). ∎

Source. Repository-derived.

Commentary.

The actual joint and single-order inventories of the same native Q cycle, its protected a and remaining b invariants and literal port coordinates earn all four retained edges used by two-cut slicing. A concrete later boundary-piece position supplies the strict order, and the three output paths have the exact support and edge identities of the supplied full route.

References