[{"type":"thinking","thinking":"Line 996: `div_le_div_of_nonneg_left (by norm_num : (0:ℝ) ≤ 2.5) (by norm_num) he2` — goal `2.5/2.7182819 ≤ 2.5/exp 1`: a/b ≤ a/c with b = 2.7182819, c = exp 1: hc = 0 < exp 1 = NOT by norm_num!! The (by norm_num) tries to prove 0 < Real.exp 1 and fails — that's the error! hc must be (Real.exp_pos 1). And h : c ≤ b = exp 1 ≤ 2.7182819 = he2 ✓.\n\nSo the rule per call site:\n- hylo (2.5/exp 1 ≤ 2.5/2.7182818): b = exp 1, c = 2.7182818: hc = 0 < 2.7182818 = by norm_num ✓, h = he1 ✓. Current code at 988-990 has the WRONG mix: (by norm_num) (by linarith [Real.exp_pos 1]) (by exact_mod_cast he1) — leftover from before my sed (the replace didn't match because of the exact string mismatch — my earlier replace targeted a different hylo text). Fix line 988-990: div_le_div_of_nonneg_left (by norm_num : (0:ℝ) ≤ 2.5) (by norm_num) he1.\n- hyub (2.5/2.7182819 ≤ 2.5/exp 1): hc = 0 < exp 1 = Real.exp_pos 1, h = he2. Current: (by norm_num : 0≤2.5) (by norm_num) he2 — fix hc → (Real.exp_pos 1).\n- h1my: same as hyub → (Real.exp_pos 1).\n- one_div_exp_one_le (1/exp 1 ≤ 1/2.7182818): b = exp 1, c = 2.7182818: hc = by norm_num, h = he1 ✓ — current code: div_le_div_of_nonneg_left one_pos.le (Real.exp_pos 1) he1 — hc wrong → by norm_num.\n- log_fourteen_ge versions (7/(e·e) ≤ 7/7.3890559): b = e·e, c = 7.3890559: hc = by norm_num, h = he1sq ✓ — check current state of those... the sed earlier replaced them with (by norm_num : (0:ℝ) ≤ 7) (by positivity) he1sq — hc = by positivity : 0 < e·e?? positivity proves 0 < exp 1 * exp 1 ✓ but hc wants 0 < c = 0 < 7.3890559 = by norm_num!! Ugh — same class of error. For 7/(e·e) ≤ 7/7.3890559: c = 7.3890559: hc = by norm_num. For 7/7.3890566 ≤ 7/(e·e): c = e·e: hc = by positivity ✓.\n\nLet me fix all occurrences carefully by scanning the file for div_le_div_of_nonneg_left.","signature":""},{"type":"text","text":"The `hc` argument is per-site (0 < *second* denominator). Let me fix all occurrences."},{"type":"tool_use","id":"Grep_64","name":"Grep","input":{"pattern":"div_le_div_of_nonneg_left","path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiTightR.lean","output_mode":"content","-n":true},"extra_content":null}]