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Step * of Lemma decidable-cantor-to-int-ext

∀[R:ℤ ⟶ ℤ ⟶ ℙ]. ((∀x,y:ℤ.  Dec(R[x;y])) ⇒ (∀F:(ℕ ⟶ 𝔹) ⟶ ℤ. Dec(∃f,g:ℕ ⟶ 𝔹. R[F f;F g])))
BY
{ ... }

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Latex:

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Latex:
\mforall{}[R:\mBbbZ{}  {}\mrightarrow{}  \mBbbZ{}  {}\mrightarrow{}  \mBbbP{}].  ((\mforall{}x,y:\mBbbZ{}.    Dec(R[x;y]))  {}\mRightarrow{}  (\mforall{}F:(\mBbbN{}  {}\mrightarrow{}  \mBbbB{})  {}\mrightarrow{}  \mBbbZ{}.  Dec(\mexists{}f,g:\mBbbN{}  {}\mrightarrow{}  \mBbbB{}.  R[F  f;F  g])))


By

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Latex:
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