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Step * 1 of Lemma gcd_elim


1. a : ℤ
2. b : ℤ
⊢ ∃y:ℤ. (GCD(a;b;y) ∧ (gcd(a;b) = y ∈ ℤ))
BY
{ (InstConcl [⌜gcd(a;b)⌝] THEN Auto) }

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Latex:

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Latex:

1.  a  :  \mBbbZ{}
2.  b  :  \mBbbZ{}
\mvdash{}  \mexists{}y:\mBbbZ{}.  (GCD(a;b;y)  \mwedge{}  (gcd(a;b)  =  y))


By

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Latex:
(InstConcl  [\mkleeneopen{}gcd(a;b)\mkleeneclose{}]  THEN  Auto)

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