Step
*
of Lemma
tuple_wf_ntuple
∀[n:ℕ]. ∀[F:Top].  (tuple(n;i.F[i]) ∈ n-tuple(n))
BY
{ (((InductionOnNat THEN RWO "n-tuple-decomp tuple-decomp" 0) THENA Auto) THEN Reduce 0 THEN Auto) }
Latex:
Latex:
\mforall{}[n:\mBbbN{}].  \mforall{}[F:Top].    (tuple(n;i.F[i])  \mmember{}  n-tuple(n))
By
Latex:
(((InductionOnNat  THEN  RWO  "n-tuple-decomp  tuple-decomp"  0)  THENA  Auto)  THEN  Reduce  0  THEN  Auto)
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