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Step * 2 of Lemma p-mu-exists


1. P : ℕ ⟶ 𝔹@i
2. ¬(∃n:ℕ. (↑(P n)))@i
⊢ ∃x:ℕ + Top. p-mu(P;x)
BY
{ (InstConcl [⌜inr ⋅ ⌝]⋅
   THEN Auto
   THEN UnfoldTopAb 0
   THEN Reduce 0
   THEN Auto
   THEN ParallelOp -2
   THEN InstConcl [⌜i⌝]⋅
   THEN Auto) }

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Latex:

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Latex:

1.  P  :  \mBbbN{}  {}\mrightarrow{}  \mBbbB{}@i
2.  \mneg{}(\mexists{}n:\mBbbN{}.  (\muparrow{}(P  n)))@i
\mvdash{}  \mexists{}x:\mBbbN{}  +  Top.  p-mu(P;x)


By

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Latex:
(InstConcl  [\mkleeneopen{}inr  \mcdot{}  \mkleeneclose{}]\mcdot{}
  THEN  Auto
  THEN  UnfoldTopAb  0
  THEN  Reduce  0
  THEN  Auto
  THEN  ParallelOp  -2
  THEN  InstConcl  [\mkleeneopen{}i\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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