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Step * 1 of Lemma equal-padics


1. p : ℤ
2. x : padic(p)
3. y : padic(p)
4. x = y ∈ padic(p)
⊢ x = y ∈ basic-padic(p)
BY
{ (SubsumeC ⌜padic(p)⌝⋅ THEN Auto) }

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Latex:

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Latex:

1.  p  :  \mBbbZ{}
2.  x  :  padic(p)
3.  y  :  padic(p)
4.  x  =  y
\mvdash{}  x  =  y


By

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Latex:
(SubsumeC  \mkleeneopen{}padic(p)\mkleeneclose{}\mcdot{}  THEN  Auto)

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