lean_workbook_plus_3736

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Calculate the result of multiplying $2.303884477 \times 10^{13}$ by $1.5223912704 \times 10^{12}$.

Why this node was retired

The posted statement is

theorem lean_workbook_plus_3736 (a b : ℝ) (ha : a = 2.303884477 * 10^13) (hb : b = 1.5223912704 * 10^12) : a * b = 3.4999999999999997 * 10^25   :=  by sorry

A finite rounded floating-point-looking product was inserted as an exact real equality.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Restore the original find-all/evaluation task without the inserted answer; prove the resulting characterization in both directions. No replacement fixed answer is asserted here. Original task: Calculate the result of multiplying $2.303884477 \times 10^{13}$ by $1.5223912704 \times 10^{12}$. Compute the product of the exact finite decimals rationally, or specify a precision/rounding tolerance rather than exact equality to a rounded numeral.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.