← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (381 chars)
The remaining goal is `⊢ 4 * 2 = 8` — after field_simp [(...)].ne' cleared denominators, the goal became `4 * 2 = 8` — and field_simp's internal ring did NOT close it (it left it as an unsolved goal). `4 * 2 = 8` is closed by `norm_num` or `ring`. The field_simp left it — add `norm_num` or `ring` after field_simp (this time it's NEEDED — field_simp didn't close). Add `norm_num`.
`field_simp` left `4 * 2 = 8` unsolved — adding `norm_num` to finish.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDogLeg.lean",
"old_string": " _ = 1 / (2 * Real.log 2) := by\n field_simp [(Real.log_pos (by norm_num : (1 : \u211d) < 2)).ne']",
"new_string": " _ = 1 / (2 * Real.log 2) := by\n field_simp [(Real.log_pos (by norm_num : (1 : \u211d) < 2)).ne']\n norm_num"
}
raw content_json (database row)
[{"type":"thinking","thinking":"The remaining goal is `⊢ 4 * 2 = 8` — after field_simp [(...)].ne' cleared denominators, the goal became `4 * 2 = 8` — and field_simp's internal ring did NOT close it (it left it as an unsolved goal). `4 * 2 = 8` is closed by `norm_num` or `ring`. The field_simp left it — add `norm_num` or `ring` after field_simp (this time it's NEEDED — field_simp didn't close). Add `norm_num`.","signature":""},{"type":"text","text":"`field_simp` left `4 * 2 = 8` unsolved — adding `norm_num` to finish."},{"type":"tool_use","id":"Edit_322","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDogLeg.lean","old_string":" _ = 1 / (2 * Real.log 2) := by\n field_simp [(Real.log_pos (by norm_num : (1 : ℝ) < 2)).ne']","new_string":" _ = 1 / (2 * Real.log 2) := by\n field_simp [(Real.log_pos (by norm_num : (1 : ℝ) < 2)).ne']\n norm_num"},"extra_content":null}]