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Step * of Lemma gcd_assoc_nat

∀a,b,c:ℕ.  (gcd(gcd(a;b);c) ~ gcd(a;gcd(b;c)))
BY
{ (Auto
   THEN (Assert gcd(gcd(a;b);c) ~ gcd(a;gcd(b;c)) BY
               Auto)
   THEN RWO "assoced_nelim" (-1)
   THEN Auto
   THEN MemTypeCD
   THEN Auto) }

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Latex:

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Latex:
\mforall{}a,b,c:\mBbbN{}.    (gcd(gcd(a;b);c)  \msim{}  gcd(a;gcd(b;c)))


By

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Latex:
(Auto
  THEN  (Assert  gcd(gcd(a;b);c)  \msim{}  gcd(a;gcd(b;c))  BY
                          Auto)
  THEN  RWO  "assoced\_nelim"  (-1)
  THEN  Auto
  THEN  MemTypeCD
  THEN  Auto)

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