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Step * of Lemma A-face-name-image

∀X:CubicalSet. ∀A:{X ⊢ _}. ∀I:Cname List. ∀alpha:X(I). ∀K,f:Top. ∀face:A-face(X;A;I;alpha).
  (A-face-name(A-face-image(X;A;I;K;f;alpha;face)) ~ (λp.<f (fst(p)), snd(p)>) A-face-name(face))
BY
{ (Intros THEN RepeatFor 2 (D -1) THEN RepUR ``A-face-name A-face-image`` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}X:CubicalSet.  \mforall{}A:\{X  \mvdash{}  \_\}.  \mforall{}I:Cname  List.  \mforall{}alpha:X(I).  \mforall{}K,f:Top.  \mforall{}face:A-face(X;A;I;alpha).
    (A-face-name(A-face-image(X;A;I;K;f;alpha;face))  \msim{}  (\mlambda{}p.<f  (fst(p)),  snd(p)>)  A-face-name(face))


By

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Latex:
(Intros  THEN  RepeatFor  2  (D  -1)  THEN  RepUR  ``A-face-name  A-face-image``  0  THEN  Auto)

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