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Step * of Lemma m-open-cover_wf

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∀[X:Type]. ∀[d:metric(X)]. ∀[I:Type]. ∀[A:I ⟶ X ⟶ ℙ].  (m-open-cover(X;d;I;i,x.A[i;x]) ∈ ℙ)
BY
{ ProveWfLemma }

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Latex:

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Latex:
No  Annotations
\mforall{}[X:Type].  \mforall{}[d:metric(X)].  \mforall{}[I:Type].  \mforall{}[A:I  {}\mrightarrow{}  X  {}\mrightarrow{}  \mBbbP{}].    (m-open-cover(X;d;I;i,x.A[i;x])  \mmember{}  \mBbbP{})


By

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Latex:
ProveWfLemma

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