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Step * 2 of Lemma shadow_inequalities_wf


1. n : {2...}
2. u : {L:ℤ List| ||L|| = n ∈ ℤ} 
3. u1 : {L:ℤ List| ||L|| = n ∈ ℤ} 
4. v : {L:ℤ List| ||L|| = n ∈ ℤ}  List
⊢ index-of-min(max_tl_coeffs([u; [u1 / v]])) + 1 ∈ ℕn
BY
{ ((GenConclTerm ⌜max_tl_coeffs([u; [u1 / v]])⌝⋅ THENA Auto)
   THEN (GenConclTerm ⌜index-of-min(v1)⌝⋅ THENA Auto)
   THEN TACTIC:(DSetVars THEN Auto)) }

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Latex:

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Latex:

1.  n  :  \{2...\}
2.  u  :  \{L:\mBbbZ{}  List|  ||L||  =  n\} 
3.  u1  :  \{L:\mBbbZ{}  List|  ||L||  =  n\} 
4.  v  :  \{L:\mBbbZ{}  List|  ||L||  =  n\}    List
\mvdash{}  index-of-min(max\_tl\_coeffs([u;  [u1  /  v]]))  +  1  \mmember{}  \mBbbN{}n


By

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Latex:
((GenConclTerm  \mkleeneopen{}max\_tl\_coeffs([u;  [u1  /  v]])\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  (GenConclTerm  \mkleeneopen{}index-of-min(v1)\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  TACTIC:(DSetVars  THEN  Auto))

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