← Session 29 — ii′-5e-v: circle bound (far-tail + series bounds)
thinking (1101 chars)
Compiles clean except `hRhi` unused in `logDeriv_circle_le` — wait no, the warning is at 3807 — that's `Fexpr_circle_le`'s hRhi! Fexpr_circle_le's signature has hRhi : R ≤ 4k+3 — is it used? Looking at the proof: hĈR2 uses `C0hat_mono (1 ≤ 4k+9/2) (4k+9/2 ≤ R+2)` — the latter from hRlo (4k+5/2 ≤ R ⟹ 4k+9/2 ≤ R+2 ✓) — hRhi not used! But hRhi is part of the gap-circle data — keep the API uniform (the caller has it from exists_gapCircle_radius). Prefix with underscore: `_hRhi`. Hmm — or keep for API and accept the warning? The project standard: zero warnings preferred (earlier I removed unused args). But hRhi is genuinely part of the natural hypothesis pack — the FINAL capstone will apply Fexpr_circle_le with the full gap-circle data. Options: (a) rename to _hRhi (callers can still pass it positionally — Lean doesn't care about the name for explicit args); (b) drop it. The 5e-v-d caller will have hRhi from exists_gapCircle_radius anyway and can pass or not. Rename to _hRhi — keeps the signature shape (useful for the caller, documents the full hypothesis pack) while silencing the warning.
Clean except unused `hRhi` in `Fexpr_circle_le` — underscore-prefix it (keeps the hypothesis-pack shape for the 5e-v-d caller).
tool: Bash
input
{
"command": "cd \"D:/Python/Quantum/research/lean/NguyenRH1\" && python - << 'PYEOF'\np = 'NguyenRH1/LiCircleBound.lean'\nsrc = open(p, encoding='utf-8').read()\nsrc = src.replace('''theorem Fexpr_circle_le {k : \u2115} (hk : 4000 \u2264 k) {R : \u211d}\n (hRlo : 4 * (k : \u211d) + 5 / 2 \u2264 R) (hRhi : R \u2264 4 * (k : \u211d) + 3)''', '''theorem Fexpr_circle_le {k : \u2115} (hk : 4000 \u2264 k) {R : \u211d}\n (hRlo : 4 * (k : \u211d) + 5 / 2 \u2264 R) (_hRhi : R \u2264 4 * (k : \u211d) + 3)''')\nopen(p, 'w', encoding='utf-8').write(src)\nPYEOF\nexport PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiCircleBound.lean 2>&1 | head -10 && wc -l NguyenRH1/LiCircleBound.lean",
"description": "Underscore hRhi; final compile of 5e-v-c",
"timeout": 300000
}
raw content_json (database row)
[{"type":"thinking","thinking":"Compiles clean except `hRhi` unused in `logDeriv_circle_le` — wait no, the warning is at 3807 — that's `Fexpr_circle_le`'s hRhi! Fexpr_circle_le's signature has hRhi : R ≤ 4k+3 — is it used? Looking at the proof: hĈR2 uses `C0hat_mono (1 ≤ 4k+9/2) (4k+9/2 ≤ R+2)` — the latter from hRlo (4k+5/2 ≤ R ⟹ 4k+9/2 ≤ R+2 ✓) — hRhi not used! But hRhi is part of the gap-circle data — keep the API uniform (the caller has it from exists_gapCircle_radius). Prefix with underscore: `_hRhi`. Hmm — or keep for API and accept the warning? The project standard: zero warnings preferred (earlier I removed unused args). But hRhi is genuinely part of the natural hypothesis pack — the FINAL capstone will apply Fexpr_circle_le with the full gap-circle data. Options: (a) rename to _hRhi (callers can still pass it positionally — Lean doesn't care about the name for explicit args); (b) drop it. The 5e-v-d caller will have hRhi from exists_gapCircle_radius anyway and can pass or not. Rename to _hRhi — keeps the signature shape (useful for the caller, documents the full hypothesis pack) while silencing the warning.","signature":""},{"type":"text","text":"Clean except unused `hRhi` in `Fexpr_circle_le` — underscore-prefix it (keeps the hypothesis-pack shape for the 5e-v-d caller)."},{"type":"tool_use","id":"Bash_241","name":"Bash","input":{"command":"cd \"D:/Python/Quantum/research/lean/NguyenRH1\" && python - << 'PYEOF'\np = 'NguyenRH1/LiCircleBound.lean'\nsrc = open(p, encoding='utf-8').read()\nsrc = src.replace('''theorem Fexpr_circle_le {k : ℕ} (hk : 4000 ≤ k) {R : ℝ}\n (hRlo : 4 * (k : ℝ) + 5 / 2 ≤ R) (hRhi : R ≤ 4 * (k : ℝ) + 3)''', '''theorem Fexpr_circle_le {k : ℕ} (hk : 4000 ≤ k) {R : ℝ}\n (hRlo : 4 * (k : ℝ) + 5 / 2 ≤ R) (_hRhi : R ≤ 4 * (k : ℝ) + 3)''')\nopen(p, 'w', encoding='utf-8').write(src)\nPYEOF\nexport PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiCircleBound.lean 2>&1 | head -10 && wc -l NguyenRH1/LiCircleBound.lean","description":"Underscore hRhi; final compile of 5e-v-c","timeout":300000},"extra_content":null}]