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

∀[Info,B,C:Type]. ∀[f:Id ⟶ B ⟶ C]. ∀[X:EClass(B)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:C].
  uiff(v ∈ lifting-loc-1(f)(Loc, X)(e);↓∃b:B. (b ∈ X(e) ∧ (v = (f loc(e) b) ∈ C)))
BY
{ ((UnivCD THENA Auto)
   THEN (InstLemma `simple-loc-comb1-classrel` [⌜Info⌝;  ⌜B⌝; ⌜C⌝; ⌜f⌝; ⌜X⌝;  ⌜es⌝; ⌜e⌝; ⌜v⌝]⋅ THENA Auto)
   THEN RepUR ``simple-loc-comb-1 lifting-loc-1`` 0
   THEN RepUR ``simple-loc-comb1`` (-1)
   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].
    uiff(v  \mmember{}  lifting-loc-1(f)(Loc,  X)(e);\mdownarrow{}\mexists{}b:B.  (b  \mmember{}  X(e)  \mwedge{}  (v  =  (f  loc(e)  b))))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (InstLemma  `simple-loc-comb1-classrel`  [\mkleeneopen{}Info\mkleeneclose{};    \mkleeneopen{}B\mkleeneclose{};  \mkleeneopen{}C\mkleeneclose{};  \mkleeneopen{}f\mkleeneclose{};  \mkleeneopen{}X\mkleeneclose{};    \mkleeneopen{}es\mkleeneclose{};  \mkleeneopen{}e\mkleeneclose{};  \mkleeneopen{}v\mkleeneclose{}]\mcdot{}
              THENA  Auto
              )
  THEN  RepUR  ``simple-loc-comb-1  lifting-loc-1``  0
  THEN  RepUR  ``simple-loc-comb1``  (-1)
  THEN  Auto)

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