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Step * 1 of Lemma four-squares

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

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Latex:

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Latex:
.....antecedent..... 
\mexists{}a,b,c,d:\mBbbZ{}.  (1  =  ((a  *  a)  +  (b  *  b)  +  (c  *  c)  +  (d  *  d)))


By

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

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