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Step * of Lemma copath-extend_wf

∀[A:𝕌']. ∀[B:A ⟶ Type]. ∀[w:coW(A;a.B[a])]. ∀[p:copath(a.B[a];w)]. ∀[t:coW-dom(a.B[a];copath-at(w;p))].
  (copath-extend(p;t) ∈ copath(a.B[a];w))
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Latex:
\mforall{}[A:\mBbbU{}'].  \mforall{}[B:A  {}\mrightarrow{}  Type].  \mforall{}[w:coW(A;a.B[a])].  \mforall{}[p:copath(a.B[a];w)].
\mforall{}[t:coW-dom(a.B[a];copath-at(w;p))].
    (copath-extend(p;t)  \mmember{}  copath(a.B[a];w))


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