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) }

Latex:

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

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)

Home Index