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Step * 1 of Lemma coded-pair_wf


1. n : ℕ
⊢ <n - t(tsqrt(n)), tsqrt(n) - n - t(tsqrt(n))> ∈ ℕ × ℕ
BY
{ ((InstLemma `tsqrt-property` [⌜n⌝]⋅ THENA Auto) THEN RWO "triangular-num-add1" (-1) THEN Auto THEN Auto') }

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Latex:

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Latex:

1.  n  :  \mBbbN{}
\mvdash{}  <n  -  t(tsqrt(n)),  tsqrt(n)  -  n  -  t(tsqrt(n))>  \mmember{}  \mBbbN{}  \mtimes{}  \mBbbN{}


By

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Latex:
((InstLemma  `tsqrt-property`  [\mkleeneopen{}n\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  RWO  "triangular-num-add1"  (-1)
  THEN  Auto
  THEN  Auto')

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