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Step * of Lemma simple-loc-comb-1-classrel-weak

∀[Info,B,C:Type]. ∀[f:Id ─→ B ─→ C]. ∀[X:EClass(B)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:C].
  (v ∈ lifting-loc-1(f)(Loc, X)(e) ⇐⇒ ↓∃b:B. (b ∈ X(e) ∧ (v = (f loc(e) b) ∈ C)))
BY
{ ((InstLemma `simple-loc-comb-1-classrel` []⋅ THEN RepeatFor 8 (ParallelLast')) THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,B,C:Type].  \mforall{}[f:Id  {}\mrightarrow{}  B  {}\mrightarrow{}  C].  \mforall{}[X:EClass(B)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[v:C].
    (v  \mmember{}  lifting-loc-1(f)(Loc,  X)(e)  \mLeftarrow{}{}\mRightarrow{}  \mdownarrow{}\mexists{}b:B.  (b  \mmember{}  X(e)  \mwedge{}  (v  =  (f  loc(e)  b))))


By

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Latex:
((InstLemma  `simple-loc-comb-1-classrel`  []\mcdot{}  THEN  RepeatFor  8  (ParallelLast'))  THEN  Auto)

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