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Step * of Lemma cubical-pi-family-comp

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∀X,Delta:j⊢. ∀s:Delta j⟶ X. ∀I,J:fset(ℕ). ∀f:J ⟶ I. ∀a:Delta(I). ∀A:{X ⊢ _}. ∀B:{X.A ⊢ _}.
∀w:cubical-pi-family(X;A;B;I;(s)a).
  (λK,g. (w K f ⋅ g) ∈ cubical-pi-family(X;A;B;J;(s)f(a)))
BY
{ PresheafMLTTInstance Obid: presheaf-pi-family-comp⋅ }

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Latex:

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Latex:
No  Annotations
\mforall{}X,Delta:j\mvdash{}.  \mforall{}s:Delta  j{}\mrightarrow{}  X.  \mforall{}I,J:fset(\mBbbN{}).  \mforall{}f:J  {}\mrightarrow{}  I.  \mforall{}a:Delta(I).  \mforall{}A:\{X  \mvdash{}  \_\}.  \mforall{}B:\{X.A  \mvdash{}  \_\}.
\mforall{}w:cubical-pi-family(X;A;B;I;(s)a).
    (\mlambda{}K,g.  (w  K  f  \mcdot{}  g)  \mmember{}  cubical-pi-family(X;A;B;J;(s)f(a)))


By

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Latex:
PresheafMLTTInstance  Obid:  presheaf-pi-family-comp\mcdot{}

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