Step
*
of Lemma
rec-combined-loc-class-opt-1-single-val
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[F:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(B)].
(single-valued-classrel(es;lifting-loc-2(F)|Loc, X, Prior(self)?init|;B)) supposing
(single-valued-classrel(es;X;A) and
(∀l:Id. single-valued-bag(init l;B)))
BY
{ ((UnivCD THENA Auto)
THEN RepUR ``single-valued-classrel`` 0
THEN Auto
THEN InstLemma `rec-combined-loc-class-opt-1-single-val0` [⌈Info⌉;⌈A⌉;⌈B⌉;⌈es⌉;⌈F⌉;⌈X⌉;⌈init⌉;⌈e⌉;⌈v1⌉;⌈v2⌉]⋅
THEN Auto) }
Latex:
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[F:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)].
(single-valued-classrel(es;lifting-loc-2(F)|Loc, X, Prior(self)?init|;B)) supposing
(single-valued-classrel(es;X;A) and
(\mforall{}l:Id. single-valued-bag(init l;B)))
By
Latex:
((UnivCD THENA Auto)
THEN RepUR ``single-valued-classrel`` 0
THEN Auto
THEN InstLemma `rec-combined-loc-class-opt-1-single-val0` [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{};\mkleeneopen{}es\mkleeneclose{};\mkleeneopen{}F\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}init\mkleeneclose{};\mkleeneopen{}e\mkleeneclose{};
\mkleeneopen{}v1\mkleeneclose{};\mkleeneopen{}v2\mkleeneclose{}]\mcdot{}
THEN Auto)
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