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