Step
*
of Lemma
A-adjacent-compatible_wf
∀[X:CubicalSet]. ∀[A:{X ⊢ _}]. ∀[I:Cname List]. ∀[alpha:X(I)]. ∀[L:A-face(X;A;I;alpha) List].
  (A-adjacent-compatible(X;A;I;alpha;L) ∈ ℙ)
BY
{ ProveWfLemma }
Latex:
Latex:
\mforall{}[X:CubicalSet].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[I:Cname  List].  \mforall{}[alpha:X(I)].  \mforall{}[L:A-face(X;A;I;alpha)  List].
    (A-adjacent-compatible(X;A;I;alpha;L)  \mmember{}  \mBbbP{})
By
Latex:
ProveWfLemma
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