← Session 21 — Tier ii′ planning + launch: close SfBoundProp in Lean (D-064)
thinking (1085 chars)
Two issues:
1. Line 211: `him : 1 ≤ z.im ^ 2 := by nlinarith [hz2, hz4, hre2]` — failed. From hz2: ‖z‖² = re² + im², hz4: 4n² ≤ ‖z‖², hre2: re² ≤ 1: want 1 ≤ im²: im² = ‖z‖² − re² ≥ 4n² − 1 ≥ 3 (n ≥ 1: 4n² ≥ 4). nlinarith needs hn0 used: include hn0: nlinarith [hz2, hz4, hre2, hn0, sq_nonneg n?]. 4n² ≥ 4 from n ≥ 1: nlinarith should get it with hn0. Add hint.
2. The heredoc appended AFTER `end NguyenRH1` — the new lemmas are outside the namespace! liSummand/liSummand_eq/re_li_summand_le are inside namespace NguyenRH1 (which ended before my append). Fix: remove the stray `end NguyenRH1` before the appended section, or wrap. Looking at the file: the original file ended with `end NguyenRH1` and I appended after it. The new section has its own `/-! ### -/` comment then lemmas referencing liSummand (in NguyenRH1 namespace) — unknown. Fix: change the final `end NguyenRH1` position — I'll edit: remove the `end NguyenRH1` line that precedes the appended part (it's right after the re_li_summand_le's end, before the comparison section). Let me check the file structure and fix.
The heredoc landed outside the namespace and one nlinarith needs a hint. Fixing both.
tool: Bash
input
{
"command": "grep -n \"end NguyenRH1\" /d/Python/Quantum/research/lean/NguyenRH1/Scratch.lean",
"description": "Locate namespace end lines"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Two issues:\n\n1. Line 211: `him : 1 ≤ z.im ^ 2 := by nlinarith [hz2, hz4, hre2]` — failed. From hz2: ‖z‖² = re² + im², hz4: 4n² ≤ ‖z‖², hre2: re² ≤ 1: want 1 ≤ im²: im² = ‖z‖² − re² ≥ 4n² − 1 ≥ 3 (n ≥ 1: 4n² ≥ 4). nlinarith needs hn0 used: include hn0: nlinarith [hz2, hz4, hre2, hn0, sq_nonneg n?]. 4n² ≥ 4 from n ≥ 1: nlinarith should get it with hn0. Add hint.\n\n2. The heredoc appended AFTER `end NguyenRH1` — the new lemmas are outside the namespace! liSummand/liSummand_eq/re_li_summand_le are inside namespace NguyenRH1 (which ended before my append). Fix: remove the stray `end NguyenRH1` before the appended section, or wrap. Looking at the file: the original file ended with `end NguyenRH1` and I appended after it. The new section has its own `/-! ### -/` comment then lemmas referencing liSummand (in NguyenRH1 namespace) — unknown. Fix: change the final `end NguyenRH1` position — I'll edit: remove the `end NguyenRH1` line that precedes the appended part (it's right after the re_li_summand_le's end, before the comparison section). Let me check the file structure and fix.","signature":""},{"type":"text","text":"The heredoc landed outside the namespace and one nlinarith needs a hint. Fixing both."},{"type":"tool_use","id":"Bash_141","name":"Bash","input":{"command":"grep -n \"end NguyenRH1\" /d/Python/Quantum/research/lean/NguyenRH1/Scratch.lean","description":"Locate namespace end lines"},"extra_content":null}]