Step
*
of Lemma
on-loc-class-single-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:Id ⟶ EClass(T)].
single-valued-classrel(es;on-loc-class(X);T) supposing ∀i:Id. single-valued-classrel(es;X i;T)
BY
{ (Unfold `single-valued-classrel` 0
THEN (UnivCD THENA MaAuto)
THEN MaUseClassRel (-2)
THEN MaUseClassRel (-1)
THEN InstHyp [⌜loc(e)⌝;⌜e⌝;⌜v1⌝;⌜v2⌝] (-6)⋅
THEN Auto) }
Latex:
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:Id {}\mrightarrow{} EClass(T)].
single-valued-classrel(es;on-loc-class(X);T) supposing \mforall{}i:Id. single-valued-classrel(es;X i;T)
By
Latex:
(Unfold `single-valued-classrel` 0
THEN (UnivCD THENA MaAuto)
THEN MaUseClassRel (-2)
THEN MaUseClassRel (-1)
THEN InstHyp [\mkleeneopen{}loc(e)\mkleeneclose{};\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}v1\mkleeneclose{};\mkleeneopen{}v2\mkleeneclose{}] (-6)\mcdot{}
THEN Auto)
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