Step
*
of Lemma
locl-pre-preserving_wf
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[f:{e:E| P e}  ─→ E].  (f is locl-pre-preserving on P ∈ ℙ)
BY
{ (Unfolds ``locl-pre-preserving antecedent-rel-preserving`` 0 THEN Auto) }
Latex:
\mforall{}[es:EO].  \mforall{}[P:E  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[f:\{e:E|  P  e\}    {}\mrightarrow{}  E].    (f  is  locl-pre-preserving  on  P  \mmember{}  \mBbbP{})
By
(Unfolds  ``locl-pre-preserving  antecedent-rel-preserving``  0  THEN  Auto)
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