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Step * of Lemma init0-implies-eq-upto1-zero-seq

∀a:ℕ ⟶ ℕ. (init0(a) ⇒ (a = 0s ∈ (ℕ1 ⟶ ℕ)))
BY
{ ((UnivCD THENA Auto)
   THEN Ext
   THEN Auto
   THEN Assert ⌜x = 0 ∈ ℕ⌝⋅
   THEN Auto
   THEN Eliminate ⌜x⌝⋅
   THEN RepUR ``zero-seq`` 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}a:\mBbbN{}  {}\mrightarrow{}  \mBbbN{}.  (init0(a)  {}\mRightarrow{}  (a  =  0s))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  Ext
  THEN  Auto
  THEN  Assert  \mkleeneopen{}x  =  0\mkleeneclose{}\mcdot{}
  THEN  Auto
  THEN  Eliminate  \mkleeneopen{}x\mkleeneclose{}\mcdot{}
  THEN  RepUR  ``zero-seq``  0
  THEN  Auto)

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