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Step * 1 1 of Lemma prime-sum-of-two-squares-iff-one-mod-four


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

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Latex:

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Latex:

1.  p  :  \{p:\{2...\}|  prime(p)\} 
2.  p  =  2
\mvdash{}  \mexists{}a,b:\mBbbZ{}.  (p  =  ((a  *  a)  +  (b  *  b)))


By

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

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