← Session 25 — ii′-5 R-bound: design + level-2 EM disc bound
thinking (2003 chars)
The entire LiDisc.lean compiles — only the unused-`ht` warning in `exists_collection_radius` remains. The main theorem `logDeriv_riemannZeta_sub_nearZeros_le` is proved!
Now:
1. Fix the warning (rename ht → _ht in exists_collection_radius? But then collRadius etc. use ht... The warning is for exists_collection_radius's ht being unused — the pigeonhole doesn't need ht. But collRadius ht := (exists_collection_radius ht).choose needs the hypothesis to exist. Just silence by using it... or accept the warning. Existing code has warnings tolerated? Keep clean: rename to `_ht`?? — but then callers pass ht anyway — fine: `_ht` works since nothing references it. Wait — collRadius {t} (ht : 10 ≤ |t|) := (exists_collection_radius ht).choose — the caller passes its ht to exists_collection_radius's _ht ✓ fine. Let me rename in exists_collection_radius only.
Hmm — but wait: does `exists_collection_radius` REALLY not need ht? The gap argument: midpoints in [23,24]/10 — no analytic input ✓ correct, it's combinatorial. Rename to _ht. But collRadius_ge etc. all fine.
2. Full build (`lake build`) to make sure the whole package is green including the root import — wait, is LiDisc imported by the root NguyenRH1.lean? Session 023's commits: LiDisc was committed — check the root file imports. If not imported, add it.
3. Axiom audit of the new declarations.
4. Commit the sub-stage, update journal/STATE at session end. Actually per protocol, at minimum commit now (sub-stage boundary), then write journal + STATE updates and final commit. It's ~session-end territory: ii′-5c is now COMPLETE (both halves). Let me check the time expectations — the session protocol wants journal + STATE + NGUYEN checklist updates at session end. The user hasn't asked to stop; the sub-stage is done. I'll: (a) fix warning, (b) full lake build, (c) axiom audit, (d) commit LiDisc completion, (e) then journal/STATE/NGUYEN updates + final commit, (f) report and suggest next (ii′-5d).
Let me check root imports first.
Main theorem compiles — ii′-5c is now complete. Fixing the lint warning, then full build + audit.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDisc.lean",
"old_string": "theorem exists_collection_radius {t : \u211d} (ht : 10 \u2264 |t|) :",
"new_string": "theorem exists_collection_radius {t : \u211d} (_ht : 10 \u2264 |t|) :"
}
raw content_json (database row)
[{"type":"thinking","thinking":"The entire LiDisc.lean compiles — only the unused-`ht` warning in `exists_collection_radius` remains. The main theorem `logDeriv_riemannZeta_sub_nearZeros_le` is proved!\n\nNow:\n1. Fix the warning (rename ht → _ht in exists_collection_radius? But then collRadius etc. use ht... The warning is for exists_collection_radius's ht being unused — the pigeonhole doesn't need ht. But collRadius ht := (exists_collection_radius ht).choose needs the hypothesis to exist. Just silence by using it... or accept the warning. Existing code has warnings tolerated? Keep clean: rename to `_ht`?? — but then callers pass ht anyway — fine: `_ht` works since nothing references it. Wait — collRadius {t} (ht : 10 ≤ |t|) := (exists_collection_radius ht).choose — the caller passes its ht to exists_collection_radius's _ht ✓ fine. Let me rename in exists_collection_radius only.\n\nHmm — but wait: does `exists_collection_radius` REALLY not need ht? The gap argument: midpoints in [23,24]/10 — no analytic input ✓ correct, it's combinatorial. Rename to _ht. But collRadius_ge etc. all fine.\n\n2. Full build (`lake build`) to make sure the whole package is green including the root import — wait, is LiDisc imported by the root NguyenRH1.lean? Session 023's commits: LiDisc was committed — check the root file imports. If not imported, add it.\n\n3. Axiom audit of the new declarations.\n\n4. Commit the sub-stage, update journal/STATE at session end. Actually per protocol, at minimum commit now (sub-stage boundary), then write journal + STATE updates and final commit. It's ~session-end territory: ii′-5c is now COMPLETE (both halves). Let me check the time expectations — the session protocol wants journal + STATE + NGUYEN checklist updates at session end. The user hasn't asked to stop; the sub-stage is done. I'll: (a) fix warning, (b) full lake build, (c) axiom audit, (d) commit LiDisc completion, (e) then journal/STATE/NGUYEN updates + final commit, (f) report and suggest next (ii′-5d).\n\nLet me check root imports first.","signature":""},{"type":"text","text":"Main theorem compiles — ii′-5c is now complete. Fixing the lint warning, then full build + audit."},{"type":"tool_use","id":"Edit_112","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDisc.lean","old_string":"theorem exists_collection_radius {t : ℝ} (ht : 10 ≤ |t|) :","new_string":"theorem exists_collection_radius {t : ℝ} (_ht : 10 ≤ |t|) :"},"extra_content":null}]