-- Reproduction axiom trail -- re-derived from source (TOOLCHAIN tier). -- theorem : MachLib.ChainExp2NoZeros.chain2_khovanskii_bound_unconditional -- source : MachLib.ChainExp2NoZeros (machlib module; the theorem's own #print axioms) -- tool : forge 8074510 . machlib 1420f96 . lean via lake -- when : 2026-07-02T04:37:24Z -- verdict : CLEAN -- footprint free of sorry- and classical-citation axioms -- (re-derive: make verify-proof) -- 'MachLib.ChainExp2NoZeros.chain2_khovanskii_bound_unconditional' depends on axioms: [propext, Classical.choice, MachLib.Real, Quot.sound, MachLib.Real.HasDerivAt, MachLib.Real.HasDerivAt_add, MachLib.Real.HasDerivAt_comp, MachLib.Real.HasDerivAt_const, MachLib.Real.HasDerivAt_exp, MachLib.Real.HasDerivAt_id, MachLib.Real.HasDerivAt_mul, MachLib.Real.HasDerivAt_sub, MachLib.Real.HasDerivAt_unique, MachLib.Real.addR, MachLib.Real.add_assoc, MachLib.Real.add_comm, MachLib.Real.add_lt_add_left, MachLib.Real.add_neg, MachLib.Real.add_zero, MachLib.Real.divR, MachLib.Real.exp, MachLib.Real.exp_pos, MachLib.Real.leR, MachLib.Real.le_iff_lt_or_eq, MachLib.Real.ltR, MachLib.Real.lt_irrefl_ax, MachLib.Real.lt_total, MachLib.Real.lt_trans_ax, MachLib.Real.mulR, MachLib.Real.mul_assoc, MachLib.Real.mul_comm, MachLib.Real.mul_distrib, MachLib.Real.mul_inv, MachLib.Real.mul_one_ax, MachLib.Real.natCast, MachLib.Real.natCast_succ, MachLib.Real.natCast_zero, MachLib.Real.negR, MachLib.Real.oneR, MachLib.Real.rolle, MachLib.Real.subR, MachLib.Real.sub_def, MachLib.Real.zeroR, MachLib.Real.zero_count_bound_by_deriv, MachLib.Real.zero_lt_one_ax, MachLib.Real.zero_ne_one_ax]