← Session 14 — Phase 5 kickoff: paper draft + honesty audit
thinking (1731 chars)
zeta-23-lean/ is gitignored (vendored, untracked). Good — but I'll still keep our package separate at research/lean/NguyenRH1/ (tracked, part of our archive).
Create package files. Path from research/lean/NguyenRH1 to zeta-23-lean: ../../../zeta-23-lean.
lakefile.toml:
```toml
name = "NguyenRH1"
version = "0.1.0"
defaultTargets = ["NguyenRH1"]
[leanOptions]
pp.unicode.fun = true
relaxedAutoImplicit = false
[[require]]
name = "mathlib"
path = "../../../zeta-23-lean/.lake/packages/mathlib"
[[require]]
name = "Zeta23"
path = "../../../zeta-23-lean"
```
Concern: Zeta23's lakefile requires mathlib by git rev. When the ROOT package also requires mathlib (by path), Lake uses the root's version (path override) — standard behavior ("the root package's dependencies take precedence"). The rev must match what Zeta23 expects for its imports to compile — same rev since we use its own packages dir.
lean-toolchain: leanprover/lean4:v4.33.0-rc2
Now the skeleton files. Design carefully — statements must COMPILE (once cache+build are done). Writing compiling Lean 4 / Mathlib v4.33 code blind is risky; keep the skeletons as simple as possible:
- Use basic Mathlib types (ℝ, ℂ, ℕ).
- For Li coefficients: defining λ_n properly needs the zero multiset. Zeta23 has counting functions over nontrivial zeros. Simplest compilable approach: state over an abstract zero-indexed sequence? No — honest approach: use Zeta23's conventions. But I don't know their exact zero-set definitions without reading Statement.lean. Let me read Zeta23/Statement.lean (or Defs/Counting.lean) to reuse their zero conventions.
Let me look at the key definition files: Zeta23/Statement.lean (mentioned in Final.lean comments) and Defs/Counting.lean.
zeta-23-lean is gitignored (vendored) — good, our package stays separate and tracked. Let me study Zeta23's zero conventions so our skeleton statements reuse them.
tool: Bash
input
{
"command": "cd /d/Python/Quantum/zeta-23-lean && ls Zeta23/*.lean | head -20 && grep -n \"nontrivial\\|def Ncount\\|zero\" Zeta23/Defs/Counting.lean | head -20",
"description": "Survey Zeta23 statement and counting definitions"
}
raw content_json (database row)
[{"type":"thinking","thinking":"zeta-23-lean/ is gitignored (vendored, untracked). Good — but I'll still keep our package separate at research/lean/NguyenRH1/ (tracked, part of our archive).\n\nCreate package files. Path from research/lean/NguyenRH1 to zeta-23-lean: ../../../zeta-23-lean.\n\nlakefile.toml:\n```toml\nname = \"NguyenRH1\"\nversion = \"0.1.0\"\ndefaultTargets = [\"NguyenRH1\"]\n\n[leanOptions]\npp.unicode.fun = true\nrelaxedAutoImplicit = false\n\n[[require]]\nname = \"mathlib\"\npath = \"../../../zeta-23-lean/.lake/packages/mathlib\"\n\n[[require]]\nname = \"Zeta23\"\npath = \"../../../zeta-23-lean\"\n```\n\nConcern: Zeta23's lakefile requires mathlib by git rev. When the ROOT package also requires mathlib (by path), Lake uses the root's version (path override) — standard behavior (\"the root package's dependencies take precedence\"). The rev must match what Zeta23 expects for its imports to compile — same rev since we use its own packages dir. \n\nlean-toolchain: leanprover/lean4:v4.33.0-rc2\n\nNow the skeleton files. Design carefully — statements must COMPILE (once cache+build are done). Writing compiling Lean 4 / Mathlib v4.33 code blind is risky; keep the skeletons as simple as possible:\n\n- Use basic Mathlib types (ℝ, ℂ, ℕ).\n- For Li coefficients: defining λ_n properly needs the zero multiset. Zeta23 has counting functions over nontrivial zeros. Simplest compilable approach: state over an abstract zero-indexed sequence? No — honest approach: use Zeta23's conventions. But I don't know their exact zero-set definitions without reading Statement.lean. Let me read Zeta23/Statement.lean (or Defs/Counting.lean) to reuse their zero conventions.\n\nLet me look at the key definition files: Zeta23/Statement.lean (mentioned in Final.lean comments) and Defs/Counting.lean.","signature":""},{"type":"text","text":"zeta-23-lean is gitignored (vendored) — good, our package stays separate and tracked. Let me study Zeta23's zero conventions so our skeleton statements reuse them."},{"type":"tool_use","id":"Bash_80","name":"Bash","input":{"command":"cd /d/Python/Quantum/zeta-23-lean && ls Zeta23/*.lean | head -20 && grep -n \"nontrivial\\|def Ncount\\|zero\" Zeta23/Defs/Counting.lean | head -20","description":"Survey Zeta23 statement and counting definitions"},"extra_content":null}]