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Step * of Lemma presheaf-apply_wf

No Annotations
∀[C:SmallCategory]. ∀[X:ps_context{j:l}(C)]. ∀[A:{X ⊢ _}]. ∀[B:{X.A ⊢ _}]. ∀[w:{X ⊢ _:ΠA B}]. ∀[u:{X ⊢ _:A}].
  (presheaf-apply(w;u) ∈ {X ⊢ _:(B)[u]})
BY
{ ProveWfLemma }

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Latex:

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Latex:
No  Annotations
\mforall{}[C:SmallCategory].  \mforall{}[X:ps\_context\{j:l\}(C)].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[B:\{X.A  \mvdash{}  \_\}].  \mforall{}[w:\{X  \mvdash{}  \_:\mPi{}A  B\}].
\mforall{}[u:\{X  \mvdash{}  \_:A\}].
    (presheaf-apply(w;u)  \mmember{}  \{X  \mvdash{}  \_:(B)[u]\})


By

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Latex:
ProveWfLemma

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