lean_workbook_plus_80912

⚠️ 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.

$T_3 > 0 \Longrightarrow a> g/3\sqrt{3}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_80912 (g : ℝ) (a : ℝ) (T3 : ℝ) (h₁ : 0 < T3) (h₂ : T3 ≤ a) (h₃ : a = g / (3 * Real.sqrt 3)) : a > g / (3 * Real.sqrt 3)   :=  by sorry

An equality to the desired strict lower bound was inserted as a hypothesis, making the conclusion false for valid positive data.

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

Proposed corrected statement

Recover the actual formula for T₃ in terms of a,g. Prove T₃>0 implies a>g/(3√3) from that formula, without assuming a equals the boundary.

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.