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Step * of Lemma cubical-app_wf-csm

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∀[X:j⊢]. ∀[A:{X ⊢ _}]. ∀[B:{X.A ⊢ _}]. ∀[w:{X ⊢ _:ΠA B}]. ∀[H:j⊢]. ∀[tau:H j⟶ X]. ∀[u:{H ⊢ _:(A)tau}].
  (app((w)tau; u) ∈ {H ⊢ _:((B)tau+)[u]})
BY
{ PresheafMLTTInstance Obid: presheaf-app_wf-pscm⋅ }

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Latex:

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Latex:
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\mforall{}[X:j\mvdash{}].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[B:\{X.A  \mvdash{}  \_\}].  \mforall{}[w:\{X  \mvdash{}  \_:\mPi{}A  B\}].  \mforall{}[H:j\mvdash{}].  \mforall{}[tau:H  j{}\mrightarrow{}  X].
\mforall{}[u:\{H  \mvdash{}  \_:(A)tau\}].
    (app((w)tau;  u)  \mmember{}  \{H  \mvdash{}  \_:((B)tau+)[u]\})


By

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Latex:
PresheafMLTTInstance  Obid:  presheaf-app\_wf-pscm\mcdot{}

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