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Step * of Lemma strong-continuity2-no-inner-squash-cantor3

∀F:(ℕ ⟶ 𝔹) ⟶ ℕ2
  ⇃(∃M:n:ℕ ⟶ (ℕn ⟶ 𝔹) ⟶ (ℕ2?)
     ∀f:ℕ ⟶ 𝔹. ((∃n:ℕ. ((M n f) = (inl (F f)) ∈ (ℕ2?))) ∧ (∀n:ℕ. (M n f) = (inl (F f)) ∈ (ℕ2?) supposing ↑isl(M n f))))
BY
{ ((UnivCD THENA Auto) THEN InstLemma `strong-continuity2-half-squash-surject-biject`  [⌜𝔹⌝;⌜ℕ2⌝;⌜ℕ2⌝;⌜F⌝]⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}F:(\mBbbN{}  {}\mrightarrow{}  \mBbbB{})  {}\mrightarrow{}  \mBbbN{}2
    \00D9(\mexists{}M:n:\mBbbN{}  {}\mrightarrow{}  (\mBbbN{}n  {}\mrightarrow{}  \mBbbB{})  {}\mrightarrow{}  (\mBbbN{}2?)
          \mforall{}f:\mBbbN{}  {}\mrightarrow{}  \mBbbB{}
              ((\mexists{}n:\mBbbN{}.  ((M  n  f)  =  (inl  (F  f))))  \mwedge{}  (\mforall{}n:\mBbbN{}.  (M  n  f)  =  (inl  (F  f))  supposing  \muparrow{}isl(M  n  f))))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  InstLemma  `strong-continuity2-half-squash-surject-biject`
    [\mkleeneopen{}\mBbbB{}\mkleeneclose{};\mkleeneopen{}\mBbbN{}2\mkleeneclose{};\mkleeneopen{}\mBbbN{}2\mkleeneclose{};\mkleeneopen{}F\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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