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Step * of Lemma named-path-equal-implies

∀[X:CubicalSet]. ∀[A:{X ⊢ _}]. ∀[a,b:{X ⊢ _:A}]. ∀[I:Cname List]. ∀[alpha:X(I)]. ∀[z:Cname].
  ∀[p,q:named-path(X;A;a;b;I;alpha;z)].  p = q ∈ A(iota(z)(alpha)) supposing p = q ∈ named-path(X;A;a;b;I;alpha;z) 
  supposing ¬(z ∈ I)
BY
{ (InstLemma `named-path-subtype` [] THEN RepeatFor 7 (ParallelLast') THEN Auto) }

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Latex:

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Latex:
\mforall{}[X:CubicalSet].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[a,b:\{X  \mvdash{}  \_:A\}].  \mforall{}[I:Cname  List].  \mforall{}[alpha:X(I)].  \mforall{}[z:Cname].
    \mforall{}[p,q:named-path(X;A;a;b;I;alpha;z)].    p  =  q  supposing  p  =  q  supposing  \mneg{}(z  \mmember{}  I)


By

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Latex:
(InstLemma  `named-path-subtype`  []  THEN  RepeatFor  7  (ParallelLast')  THEN  Auto)

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