← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (1280 chars)
Committed (8068ea6). Now write LiSideBounds.lean §1 scaffolding. Let me check the imports/style of LiDogLeg.lean header and the exact forms of a few things:
1. `C0hat_mono` in LiGapCircles:32 — for cloning Z2hat_mono.
2. The `nearZerosSub`/`mem_nearZerosSub` from LiTightR:61–65.
3. Jlag/kFun defs (LiSides:55–58).
4. `logDeriv` definition form in this Mathlib.
Let me write the file incrementally — start with the header + §1 items 1–9, build, fix. I'll write the whole §1 then build.
Key statements:
```lean
import Mathlib
import NguyenRH1.LiAssembly
import NguyenRH1.LiDogLeg
open Zeta23 Complex Filter Topology
open scoped Nat
noncomputable section
namespace NguyenRH1
```
Wait — does LiDogLeg import LiAssembly? No — LiDogLeg imports LiSides etc. LiAssembly imports LiSides, LiCrux, LiContour, LiTightR, LiFEntire, LiCircleBound. For 6-c I need: LiAssembly (sides identity + bridge + rectZ/rectW), LiDogLeg (dog-leg bounds + kernel variants + iimZeta), LiTightR (capstone + nearZerosSub), LiContour (Props + wide pigeonhole + kernel bounds). Import LiAssembly + LiDogLeg covers everything (LiAssembly pulls LiTightR/LiContour).
§1.1 Z2hat_mono — clone C0hat_mono (LiGapCircles:32). Let me look at its exact proof to clone with 0.6/2.7.
Let me read C0hat_mono fully.
Now the scaffolding. Reading `C0hat_mono` to clone as `Z2hat_mono`.
tool: Read
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiGapCircles.lean",
"offset": 26,
"limit": 30
}
raw content_json (database row)
[{"type":"thinking","thinking":"Committed (8068ea6). Now write LiSideBounds.lean §1 scaffolding. Let me check the imports/style of LiDogLeg.lean header and the exact forms of a few things:\n\n1. `C0hat_mono` in LiGapCircles:32 — for cloning Z2hat_mono.\n2. The `nearZerosSub`/`mem_nearZerosSub` from LiTightR:61–65.\n3. Jlag/kFun defs (LiSides:55–58).\n4. `logDeriv` definition form in this Mathlib.\n\nLet me write the file incrementally — start with the header + §1 items 1–9, build, fix. I'll write the whole §1 then build.\n\nKey statements:\n\n```lean\nimport Mathlib\nimport NguyenRH1.LiAssembly\nimport NguyenRH1.LiDogLeg\n\nopen Zeta23 Complex Filter Topology\nopen scoped Nat\n\nnoncomputable section\n\nnamespace NguyenRH1\n```\n\nWait — does LiDogLeg import LiAssembly? No — LiDogLeg imports LiSides etc. LiAssembly imports LiSides, LiCrux, LiContour, LiTightR, LiFEntire, LiCircleBound. For 6-c I need: LiAssembly (sides identity + bridge + rectZ/rectW), LiDogLeg (dog-leg bounds + kernel variants + iimZeta), LiTightR (capstone + nearZerosSub), LiContour (Props + wide pigeonhole + kernel bounds). Import LiAssembly + LiDogLeg covers everything (LiAssembly pulls LiTightR/LiContour).\n\n§1.1 Z2hat_mono — clone C0hat_mono (LiGapCircles:32). Let me look at its exact proof to clone with 0.6/2.7.\n\nLet me read C0hat_mono fully.","signature":""},{"type":"text","text":"Now the scaffolding. Reading `C0hat_mono` to clone as `Z2hat_mono`."},{"type":"tool_use","id":"Read_46","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiGapCircles.lean","offset":26,"limit":30},"extra_content":null}]