Step
*
of Lemma
stable-element-predicate_wf
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∀[C:SmallCategory]. ∀[F:Presheaf(C)]. ∀[P:I:cat-ob(C) ⟶ (F I) ⟶ ℙ].
  (stable-element-predicate(C;F;I,rho.P[I;rho]) ∈ ℙ)
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\mforall{}[C:SmallCategory].  \mforall{}[F:Presheaf(C)].  \mforall{}[P:I:cat-ob(C)  {}\mrightarrow{}  (F  I)  {}\mrightarrow{}  \mBbbP{}].
    (stable-element-predicate(C;F;I,rho.P[I;rho])  \mmember{}  \mBbbP{})
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