Preserve Both Literal Native Boundary Orders

Abstract

Preserve Both Literal Native Boundary Orders.

Theorem 1.1 (Carry Joint and Both Half Partitions Together).

Lean statement: D5/S3/Combinatorics/Graph/PrefixReversal/NativeFullStateTransport.native_actual_identity_two_order_state_transport

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

Source. Repository-derived.

Commentary.

An inclusion that preserves raw configurations carries the joint partition and both restored half partitions of one supplied actual cycle together. Both native endpoint templates and both raw cut images remain attached to that same mapped cycle; no second witness is selected.

References

• Truth anchor: D5/S3/Combinatorics/Graph/PrefixReversal/NativeFullStateTransport.native_actual_identity_two_order_state_transport
• Dependency: D5/S3/Combinatorics/Graph/PrefixReversal/NativeMarkedFrameDomains
• Dependency: D5/S3/Combinatorics/Graph/PrefixReversal/NativeProtectedLabels
• Dependency: D5/S3/Combinatorics/Graph/PrefixReversal/NativeSimultaneousBoundaryState
• Dependency: D5/S3/Combinatorics/Graph/Walks/ActualTwoOrderStateTransport