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Step * 1 of Lemma strong-continuity2-no-inner-squash-cantor5

.....antecedent..... 
1. F : (ℕ ⟶ 𝔹) ⟶ ℤ
⊢ ∃r:ℕ ⟶ ℕ. ∀x:ℕ. ((r x) = x ∈ ℕ)
BY
{ (D 0 With ⌜λx.x⌝  THEN Reduce 0 THEN Auto) }

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Latex:

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Latex:
.....antecedent..... 
1.  F  :  (\mBbbN{}  {}\mrightarrow{}  \mBbbB{})  {}\mrightarrow{}  \mBbbZ{}
\mvdash{}  \mexists{}r:\mBbbN{}  {}\mrightarrow{}  \mBbbN{}.  \mforall{}x:\mBbbN{}.  ((r  x)  =  x)


By

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Latex:
(D  0  With  \mkleeneopen{}\mlambda{}x.x\mkleeneclose{}    THEN  Reduce  0  THEN  Auto)

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