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Step * 2 1 of Lemma four-squares


1. p : Prime
2. p = 2 ∈ ℤ
⊢ ∃a,b,c,d:ℤ. (2 = ((a * a) + (b * b) + (c * c) + (d * d)) ∈ ℤ)
BY
{ (InstConcl [⌜1⌝;⌜1⌝;⌜0⌝;⌜0⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  p  :  Prime
2.  p  =  2
\mvdash{}  \mexists{}a,b,c,d:\mBbbZ{}.  (2  =  ((a  *  a)  +  (b  *  b)  +  (c  *  c)  +  (d  *  d)))


By

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Latex:
(InstConcl  [\mkleeneopen{}1\mkleeneclose{};\mkleeneopen{}1\mkleeneclose{};\mkleeneopen{}0\mkleeneclose{};\mkleeneopen{}0\mkleeneclose{}]\mcdot{}  THEN  Auto)

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