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Step * of Lemma length-copath-extend

∀[A:𝕌']. ∀[B:A ⟶ Type]. ∀[w:coW(A;a.B[a])]. ∀[p:copath(a.B[a];w)]. ∀[t:Top].
  (copath-length(copath-extend(p;t)) = (copath-length(p) + 1) ∈ ℤ)
BY
{ (Auto THEN D -2 THEN RepUR ``copath-extend copath-length`` 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{}[p:copath(a.B[a];w)].  \mforall{}[t:Top].
    (copath-length(copath-extend(p;t))  =  (copath-length(p)  +  1))


By

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Latex:
(Auto  THEN  D  -2  THEN  RepUR  ``copath-extend  copath-length``  0  THEN  Auto)

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