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Step * of Lemma prior-imax-class-lb

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[n:ℕ]. ∀[Z:EClass(ℕ)].
  uiff(if e ∈b ((maximum x ≥ 0 with x from Z))' then ((maximum x ≥ 0 with x from Z))'(e) else -1 fi  
       ≤ n;∀[e':E(Z)]. Z(e') ≤ n supposing e' ≤loc e ) 
  supposing ¬↑e ∈b Z
BY
{ (BasicUniformUnivCD Auto THEN InstLemma `prior-imax-class-lb2` [⌈Info⌉;⌈es⌉;⌈e⌉;⌈n⌉;⌈ℕ⌉;⌈λ2x.x⌉;⌈Z⌉]⋅ THEN Auto)⋅ }

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Latex:

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Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[n:\mBbbN{}].  \mforall{}[Z:EClass(\mBbbN{})].
    uiff(if  e  \mmember{}\msubb{}  ((maximum  x  \mgeq{}  0  with  x  from  Z))'
              then  ((maximum  x  \mgeq{}  0  with  x  from  Z))'(e)
              else  -1
              fi    \mleq{}  n;\mforall{}[e':E(Z)].  Z(e')  \mleq{}  n  supposing  e'  \mleq{}loc  e  ) 
    supposing  \mneg{}\muparrow{}e  \mmember{}\msubb{}  Z


By

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Latex:
(BasicUniformUnivCD  Auto
  THEN  InstLemma  `prior-imax-class-lb2`  [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}es\mkleeneclose{};\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}n\mkleeneclose{};\mkleeneopen{}\mBbbN{}\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}x.x\mkleeneclose{};\mkleeneopen{}Z\mkleeneclose{}]\mcdot{}
  THEN  Auto)\mcdot{}

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