Step
*
of Lemma
first-m-not-reg_wf
∀[X:Type]. ∀[d:metric(X)]. ∀[k:ℕ]. ∀[s:ℕk ⟶ X].  (first-m-not-reg(d;s;k) ∈ ℕk + 1)
BY
{ ProveWfLemma }
Latex:
Latex:
\mforall{}[X:Type].  \mforall{}[d:metric(X)].  \mforall{}[k:\mBbbN{}].  \mforall{}[s:\mBbbN{}k  {}\mrightarrow{}  X].    (first-m-not-reg(d;s;k)  \mmember{}  \mBbbN{}k  +  1)
By
Latex:
ProveWfLemma
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