iff/equivalence vs preservation + reflection?

Status: open (writing decision)

How should the correctness theorem be stated: as a full iff / typability-equivalence between the double-vision rule and the single-vision encoding, or more conservatively as preservation + reflection of the obligations (premises 5/6)?

What would settle it

Decide which statement the paper can actually justify; a conservative typability-equivalence paragraph for premises (5)/(6) was the immediate writing target.

Source-to-Source Encoding Correctness · Double-Vision Recursive Modules

Sources

2026-05-31, 2026-06-04