Step * 2 2 of Lemma gcd-non-neg


1. : ℕ
2. : 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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