Step
*
2
2
of Lemma
gcd-non-neg
1. y : ℕ
2. x : ℕ
3. ¬(y = 0 ∈ ℤ)
4. ¬(x = 0 ∈ ℤ)
⊢ 0 ≤ gcd(x;y)
BY
{ (InstLemma `gcd-positive` [⌜y⌝;⌜x⌝]⋅ THEN Auto) }
Latex:
Latex:
1.  y  :  \mBbbN{}
2.  x  :  \mBbbN{}
3.  \mneg{}(y  =  0)
4.  \mneg{}(x  =  0)
\mvdash{}  0  \mleq{}  gcd(x;y)
By
Latex:
(InstLemma  `gcd-positive`  [\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THEN  Auto)
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