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Step * 1 of Lemma comparison-max_wf


1. T : Type
2. cmp : comparison(T)
3. valueall-type(T)
4. ||[]|| ≥ 1 
⊢ comparison-max(cmp;[]) ∈ {mx:T| (mx ∈ []) ∧ (∀x∈[].0 ≤ (cmp x mx))} 
BY
{ (Reduce -1 THEN Auto) }

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Latex:

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Latex:

1.  T  :  Type
2.  cmp  :  comparison(T)
3.  valueall-type(T)
4.  ||[]||  \mgeq{}  1 
\mvdash{}  comparison-max(cmp;[])  \mmember{}  \{mx:T|  (mx  \mmember{}  [])  \mwedge{}  (\mforall{}x\mmember{}[].0  \mleq{}  (cmp  x  mx))\} 


By

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Latex:
(Reduce  -1  THEN  Auto)

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