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Step * 2 of Lemma halfpi_wf1


1. π/2(slower) = cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k)))
2. π/2 = cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k))) ∈ (ℕ+ ⟶ ℤ)
⊢ π/2 ∈ {x:ℝ| x = π/2(slower)} 
BY
{ ((Assert cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k))) ∈ ℝ BY
          (MemCD THEN Try (BLemma `converges-cauchy-witness`) THEN Auto))
   THEN (Assert ⌜cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k))) = π/2 ∈ ℝ⌝⋅
         THENA (MemTypeHD (-1) THEN Auto)
         )
   THEN Thin 2
   THEN MemTypeCD
   THEN Auto) }

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Latex:

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Latex:

1.  \mpi{}/2(slower)  =  cauchy-limit(n.fastpi(n);\mlambda{}k.(TERMOF\{fastpi-converges-ext:o,  \mbackslash{}\mbackslash{}v:l\}  (2  *  k)))
2.  \mpi{}/2  =  cauchy-limit(n.fastpi(n);\mlambda{}k.(TERMOF\{fastpi-converges-ext:o,  \mbackslash{}\mbackslash{}v:l\}  (2  *  k)))
\mvdash{}  \mpi{}/2  \mmember{}  \{x:\mBbbR{}|  x  =  \mpi{}/2(slower)\} 


By

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Latex:
((Assert  cauchy-limit(n.fastpi(n);\mlambda{}k.(TERMOF\{fastpi-converges-ext:o,  \mbackslash{}\mbackslash{}v:l\}  (2  *  k)))  \mmember{}  \mBbbR{}  BY
                (MemCD  THEN  Try  (BLemma  `converges-cauchy-witness`)  THEN  Auto))
  THEN  (Assert  \mkleeneopen{}cauchy-limit(n.fastpi(n);\mlambda{}k.(TERMOF\{fastpi-converges-ext:o,  \mbackslash{}\mbackslash{}v:l\}  (2  *  k)))  =  \mpi{}/2\mkleeneclose{}\mcdot{}
              THENA  (MemTypeHD  (-1)  THEN  Auto)
              )
  THEN  Thin  2
  THEN  MemTypeCD
  THEN  Auto)

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