cat _posts/2026-09-26-diaz-modulus-lean-companion-note-1-9-and-three-size-waves-that-turn-2-865-lines-into-856.md
diaz-modulus-lean: companion note 1.9, and three size waves that turn 2,865 lines into 856
The companion note to
diaz-modulus-lean reached
version 1.9,
which checks Appendix A statement by statement against the Lean nodes: four rows
whose proofs take Baker’s theorem on linear forms in logarithms as a hypothesis
are now marked “Proved, assuming Baker” and Section 1 lists that theorem as a
third input used without proof, Corollary 3.4 is marked Not formalised because
no node states it, Proposition 3.2 is restated as
Diaz.quantisation_orbit_iff_re_ne_zero proves it, and all 81 identifiers match
the platform, the mirror holding 254 results.
Three “size waves” the same day moved proof text that had been carried inline
into nodes published on Prove2Me and mirrored back. The
first turned four
general results into nodes and gave nine others second proofs that import them,
taking 2,865 lines to 856. The
second replaced the
single 1,550-line proof of aligned_norm_free_no_rational_log_matrix with 44
lines over three new nodes, its four dependent proofs going from 2,725 lines to 320.
The third split the
1,046-line helper block that Waldschmidt’s Lemmas 4 and 7 each carried into eight
nodes, taking the two proofs from 4,068 lines to 458.
prove2me-logs records the same work
from the platform side
(94ce1bc,
c0f28eb,
9be3b9b).