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Step * 2 of Lemma gcd_properties


1. a : ℤ@i
2. b : ℤ@i
⊢ ∀c:ℤ. ((c | a) ⇒ (c | b) ⇒ (c | gcd(a;b)))
BY
{ (InstLemma `gcd_is_gcd` [⌜a⌝;⌜b⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  a  :  \mBbbZ{}@i
2.  b  :  \mBbbZ{}@i
\mvdash{}  \mforall{}c:\mBbbZ{}.  ((c  |  a)  {}\mRightarrow{}  (c  |  b)  {}\mRightarrow{}  (c  |  gcd(a;b)))


By

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Latex:
(InstLemma  `gcd\_is\_gcd`  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]\mcdot{}  THEN  Auto)

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