Quantum and CircuitsReading edition

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The wording and mathematics follow the retained manuscript. This reading format does not add a proof review or extend Lean coverage.

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Source lineage

The four primary literature entries are provided in the accompanying reference fragment. Ramanujan's work supplies the arithmetic lineage. Vaidyanathan's papers establish the signal-processing setting of Ramanujan spaces and filter banks. The internal Komorebi lineage is Stratified Universality for Resolved Representations, v1.16.0, Proposition 21.11, printed page 189, with Boundary 21.12 on the distinction between character orders and coefficient-residue lanes.

The local authoritative source set for the finite example consists of Worked_Example.md, the original reproducibility verifier, the earlier four-module checked source and proof-boundary document, and the later five-module checked source with its verification records. Their exact filenames, source hashes, and evidence classification are listed in the release provenance and the Lean guide. The traditional paper supplies self-contained mathematical proofs, while those companion records make the implementation and formal scope inspectable.

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Source SHA-256: 8045b3b5565b3f4b1fde42ab4e99c5f4027b0f66103a2be82fbfd69eb522e255

Unsupported prose commands stop the build. The mathematical expression sequence is checked against the source, with manuscript macros expanded for display.

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