Step
*
of Lemma
m-cont-metric-fun_wf
∀[X:Type]. ∀[dX:metric(X)]. ∀[Y:Type]. ∀[dY:metric(Y)]. ∀[f:X ⟶ Y].  (m-cont-metric-fun(X;dX;Y;dY;x.f[x]) ∈ ℙ)
BY
{ ProveWfLemma }
Latex:
Latex:
\mforall{}[X:Type].  \mforall{}[dX:metric(X)].  \mforall{}[Y:Type].  \mforall{}[dY:metric(Y)].  \mforall{}[f:X  {}\mrightarrow{}  Y].
    (m-cont-metric-fun(X;dX;Y;dY;x.f[x])  \mmember{}  \mBbbP{})
By
Latex:
ProveWfLemma
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