Step 
*
 of Lemma 
is-partition-choice_wf
∀[p:ℝ List]. ∀[x:ℕ||p|| - 1 ⟶ ℝ].  (is-partition-choice(p;x) ∈ ℙ)
BY
 
{ (Auto THEN ProveWfLemma) }
 
Latex: 
Latex:
\mforall{}[p:\mBbbR{}  List].  \mforall{}[x:\mBbbN{}||p||  -  1  {}\mrightarrow{}  \mBbbR{}].    (is-partition-choice(p;x)  \mmember{}  \mBbbP{})
 By 
Latex:
(Auto  THEN  ProveWfLemma)
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