cat _posts/2026-09-28-diaz-modulus-lean-and-prove2me-logs-the-fourth-size-wave-and-companion-note-1-10-withdraws-a-priority-claim.md
diaz-modulus-lean and prove2me-logs: the fourth size wave, and companion note 1.10 withdraws a priority claim
The companion note to diaz-modulus-lean
reached version 1.10
to withdraw a claim the note should not have made: Section 6 called the
transcendence degree two of two unrelated candidates of commensurable moduli
“the first constraint of any kind on such families”, and Diaz 2007, Corollaire
4(2) — a consequence of Roy’s strong six exponentials theorem — already puts one
of u/v, v/u outside the algebraic span of 1 and the logarithms for such a
pair. The sentence now cites it, all 81 identifiers match the platform, and the
mirror holds 262 results
(c04cf7a).
A fourth size wave took the last proofs of 300 lines or more and turned them
into reductions to general nodes
(b491c6a): eight
new results — Siegel’s lemma with an entrywise bound, the Cauchy estimate on a
grid, the four exponentials extrapolation inequality, Liouville through the
resultant, the multiplicative step of Gel’fond’s lemma, the monic integral model
and two denominator-house bounds — with second proofs of extrapolation,
siegel_aux, small_irreducible_factor, trdeg_one_presentation,
SX.descent_step and SX.exists_aux_expSum going from 2,661 lines to 906, and
the mirror still at 262 of 262.
prove2me-logs records it from the
platform side and publishes the nodes parents-first, so seven of them joined the
mission while still Open
(3c927df), then
corrects its own milestones entry — the first version had inferred a counting
rule from a mission board that turned out to be a cached snapshot
(ad47f59) — and links
the 21 theorems that are milestones of the mission
(5ef3601).