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Step * 1 of Lemma halfpi_wf1

.....assertion..... 
1. π/2(slower) = cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k)))
⊢ π/2 = cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k))) ∈ (ℕ+ ⟶ ℤ)
BY
{ (Subst' TERMOF{fastpi-converges-ext:o, \\v:l} ~ λk.cubic_converge(100000000000000000000;k) 0
   THENA (RW (SubC (TagC (mk_tag_term 1))) 0 THEN Auto)
   ) }

1
1. π/2(slower) = cauchy-limit(n.fastpi(n);λk.(TERMOF{fastpi-converges-ext:o, \\v:l} (2 * k)))
⊢ π/2 = cauchy-limit(n.fastpi(n);λk.((λk.cubic_converge(100000000000000000000;k)) (2 * k))) ∈ (ℕ+ ⟶ ℤ)

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Latex:

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


By

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Latex:
(Subst'  TERMOF\{fastpi-converges-ext:o,  \mbackslash{}\mbackslash{}v:l\}  \msim{}  \mlambda{}k.cubic\_converge(100000000000000000000;k)  0
  THENA  (RW  (SubC  (TagC  (mk\_tag\_term  1)))  0  THEN  Auto)
  )

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