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Step * of Lemma I-path-morph_wf2

∀X:CubicalSet. ∀A:{X ⊢ _}. ∀a,b:{X ⊢ _:A}. ∀I,K:Cname List. ∀f:name-morph(I;K). ∀alpha:X(I).
∀w:cubical-path(X;A;a;b;I;alpha).
  (I-path-morph(X;A;I;K;f;alpha;w) ∈ cubical-path(X;A;a;b;K;f(alpha)))
BY
{ (Intros THEN quotD (-1) THEN EqTypeCD THEN Auto THEN BLemma `I-path-morph_functionality` 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,K:Cname  List.  \mforall{}f:name-morph(I;K).  \mforall{}alpha:X(I).
\mforall{}w:cubical-path(X;A;a;b;I;alpha).
    (I-path-morph(X;A;I;K;f;alpha;w)  \mmember{}  cubical-path(X;A;a;b;K;f(alpha)))


By

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Latex:
(Intros  THEN  quotD  (-1)  THEN  EqTypeCD  THEN  Auto  THEN  BLemma  `I-path-morph\_functionality`  THEN  Auto)

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