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Step * 1 of Lemma Kan_id_filler_wf

.....assertion..... 
1. X : CubicalSet
2. A : {X ⊢ _(Kan)}
3. a : {X ⊢ _:Kan-type(A)}
4. b : {X ⊢ _:Kan-type(A)}
⊢ Kan_id_filler(X;A;a;b) ∈ I:(Cname List)
  ⟶ alpha:X(I)
  ⟶ J:(nameset(I) List)
  ⟶ x:nameset(I)
  ⟶ i:ℕ2
  ⟶ A-open-box(X;(Id_Kan-type(A) a b);I;alpha;J;x;i)
  ⟶ I-path(X;Kan-type(A);a;b;I;alpha)
BY
{ TACTIC:(BLemma `Kan_id_filler_wf1` THEN Auto) }

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Latex:

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Latex:
.....assertion..... 
1.  X  :  CubicalSet
2.  A  :  \{X  \mvdash{}  \_(Kan)\}
3.  a  :  \{X  \mvdash{}  \_:Kan-type(A)\}
4.  b  :  \{X  \mvdash{}  \_:Kan-type(A)\}
\mvdash{}  Kan\_id\_filler(X;A;a;b)  \mmember{}  I:(Cname  List)
    {}\mrightarrow{}  alpha:X(I)
    {}\mrightarrow{}  J:(nameset(I)  List)
    {}\mrightarrow{}  x:nameset(I)
    {}\mrightarrow{}  i:\mBbbN{}2
    {}\mrightarrow{}  A-open-box(X;(Id\_Kan-type(A)  a  b);I;alpha;J;x;i)
    {}\mrightarrow{}  I-path(X;Kan-type(A);a;b;I;alpha)


By

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Latex:
TACTIC:(BLemma  `Kan\_id\_filler\_wf1`  THEN  Auto)

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