Step
*
of Lemma
real-has-valueall
∀[x:ℝ]. has-valueall(x)
BY
{ ((D 0 THENA Auto) THEN D 1 THEN InstLemma `function-valueall-type` [⌜ℕ+⌝;⌜λ2n.ℤ⌝]⋅ THEN Auto) }
1
.....antecedent..... 
1. x : ℕ+ ⟶ ℤ
2. regular-seq(x)
⊢ ↓∃a:ℕ+. value-type(ℤ)
Latex:
Latex:
\mforall{}[x:\mBbbR{}].  has-valueall(x)
By
Latex:
((D  0  THENA  Auto)  THEN  D  1  THEN  InstLemma  `function-valueall-type`  [\mkleeneopen{}\mBbbN{}\msupplus{}\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}n.\mBbbZ{}\mkleeneclose{}]\mcdot{}  THEN  Auto)
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