Paper IIReading 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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Current verification snapshot (19 October 2026). The current project is formal/current/. Its correspondence contains 81 source records, including 53 proof-level items. Current targets and historical records are kept separately, with exact source and proof hashes. The map and the Lean guide report each item’s recorded status and release gates.

Current Lean scope. 53 of 53 proof-level source records have kernel checked, semantically accepted scope. No partial or pending proof records are listed in this correspondence. These are source-record counts under their stated hypotheses, not counts of independent discoveries.

The rectifiable analytic endpoints use a representation whose velocity length is bounded by the original geometric length. This inequality supplies the manuscript estimate. Equality of the two lengths is not required. The accepted correspondence identifies the exact canonical endpoints and their hypotheses.

Source and conversion record

Source SHA-256: 2a3bd5677777c9fdf0bdbccab0c2fac7917956638f81dae7af632818119870ec

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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