Step
*
of Lemma
Q-R-pre-preserving_wf
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[Q,R:E ─→ E ─→ ℙ]. ∀[f:{e:E| P e} ─→ E]. (f is Q-R-pre-preserving on P ∈ ℙ)
BY
{ (Unfold `Q-R-pre-preserving` 0 THEN Auto) }
Latex:
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[Q,R:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[f:\{e:E| P e\} {}\mrightarrow{} E]. (f is Q-R-pre-preserving on P \mmember{} \mBbbP{}\000C)
By
(Unfold `Q-R-pre-preserving` 0 THEN Auto)
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