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Step * of Lemma fills-A-open-box_wf

∀[X:CubicalSet]. ∀[A:{X ⊢ _}]. ∀[I:Cname List]. ∀[alpha:X(I)]. ∀[J:Cname List]. ∀[x:nameset(I)]. ∀[i:ℕ2].
∀[cube:A(alpha)]. ∀[bx:A-open-box(X;A;I;alpha;J;x;i)].
  fills-A-open-box(X;A;I;alpha;bx;cube) ∈ ℙ supposing l_subset(Cname;J;I)
BY
{ ProveWfLemma }

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Latex:

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Latex:
\mforall{}[X:CubicalSet].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[I:Cname  List].  \mforall{}[alpha:X(I)].  \mforall{}[J:Cname  List].  \mforall{}[x:nameset(I)].
\mforall{}[i:\mBbbN{}2].  \mforall{}[cube:A(alpha)].  \mforall{}[bx:A-open-box(X;A;I;alpha;J;x;i)].
    fills-A-open-box(X;A;I;alpha;bx;cube)  \mmember{}  \mBbbP{}  supposing  l\_subset(Cname;J;I)


By

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Latex:
ProveWfLemma

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