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Step * 2 1 of Lemma p-unitize_wf


1. p : ℕ+
2. a : p-adics(p)
3. n : ℕ+
4. ¬((a n) = 0 ∈ ℤ)
5. ¬(greatest-p-zero(n;a) = 0 ∈ ℤ)
⊢ greatest-p-zero(n;a) < n + 1
BY
{ (InstLemma `greatest-p-zero-property` [⌜p⌝;⌜a⌝;⌜n⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  p  :  \mBbbN{}\msupplus{}
2.  a  :  p-adics(p)
3.  n  :  \mBbbN{}\msupplus{}
4.  \mneg{}((a  n)  =  0)
5.  \mneg{}(greatest-p-zero(n;a)  =  0)
\mvdash{}  greatest-p-zero(n;a)  <  n  +  1


By

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Latex:
(InstLemma  `greatest-p-zero-property`  [\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}n\mkleeneclose{}]\mcdot{}  THEN  Auto)

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