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Step * of Lemma copath-cons_wf

∀[A:𝕌']. ∀[B:A ⟶ Type]. ∀[w:coW(A;a.B[a])]. ∀[b:coW-dom(a.B[a];w)]. ∀[p:copath(a.B[a];coW-item(w;b))].
  (copath-cons(b;p) ∈ copath(a.B[a];w))
BY
{ (Auto THEN D -1 THEN RepUR ``copath copath-cons`` 0 THEN Unfold `coPath` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[A:\mBbbU{}'].  \mforall{}[B:A  {}\mrightarrow{}  Type].  \mforall{}[w:coW(A;a.B[a])].  \mforall{}[b:coW-dom(a.B[a];w)].
\mforall{}[p:copath(a.B[a];coW-item(w;b))].
    (copath-cons(b;p)  \mmember{}  copath(a.B[a];w))


By

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Latex:
(Auto  THEN  D  -1  THEN  RepUR  ``copath  copath-cons``  0  THEN  Unfold  `coPath`  0  THEN  Auto)

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