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Step * 1 of Lemma strong-continuity2-no-inner-squash-cantor


1. F : (ℕ ⟶ ℕ2) ⟶ ℕ
2. ℕ2 ⊆r ℕ
⊢ ↓ℕ2
BY
{ ((D 0 THEN Auto) THEN UseWitness ⌜0⌝⋅ THEN Auto) }

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Latex:

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Latex:

1.  F  :  (\mBbbN{}  {}\mrightarrow{}  \mBbbN{}2)  {}\mrightarrow{}  \mBbbN{}
2.  \mBbbN{}2  \msubseteq{}r  \mBbbN{}
\mvdash{}  \mdownarrow{}\mBbbN{}2


By

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Latex:
((D  0  THEN  Auto)  THEN  UseWitness  \mkleeneopen{}0\mkleeneclose{}\mcdot{}  THEN  Auto)

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