lean_workbook_plus_53405

⚠️ 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.

$y_1\leq 3, y_2 \leq 5, y_3\leq 7, y_4 \leq 8$ and $3-y_1+5-y_2+7-y_3+8-y_4=19$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_53405 (y1 y2 y3 y4 : ℝ) (h1 : y1 ≤ 3) (h2 : y2 ≤ 5) (h3 : y3 ≤ 7) (h4 : y4 ≤ 8) (h5 : 3 - y1 + 5 - y2 + 7 - y3 + 8 - y4 = 19) : y1 = 3 ∧ y2 = 5 ∧ y3 = 7 ∧ y4 = 8   :=  by sorry

The conclusion sets all y_i to their upper bounds, which would make the required deficit sum0 rather than19.

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

Proposed corrected statement

Rewrite the constraints as y₁+y₂+y₃+y₄=4 with y₁≤3,y₂≤5,y₃≤7,y₄≤8. Recover any intended nonnegative/integer counting question before classifying the solutions.

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.