lean_workbook_plus_61824

⚠️ 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.

Solve for $P, Q, R, S$ in the system of equations: $26P+15Q=362$ and $26R+15S=209$ using the method of Euler.

Why this node was retired

The posted statement is

theorem lean_workbook_plus_61824 (P Q R S : ℚ) (h₁ : 26*P + 15*Q = 362) (h₂ : 26*R + 15*S = 209) : P = 14 ∧ Q = 10 ∧ R = 8 ∧ S = 13   :=  by sorry

The inserted unique quadruple is wrong and ignores free parameters overℚ.

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

Proposed corrected statement

Overℚ classify(P,Q,R,S)=(7+15t,12−26t,4+15u,7−26u), with t,u∈ℚ. If the source intended nonnegative integers, specify that domain before selecting the unique feasible parameters.

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.