Step
*
of Lemma
Accum-class-single-val0
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[f:A ⟶ B ⟶ B]. ∀[X:EClass(A)]. ∀[init:Id ⟶ bag(B)]. ∀[e:E]. ∀[v1,v2:B].
(v1 = v2 ∈ B) supposing
(v1 ∈ Accum-class(f;init;X)(e) and
v2 ∈ Accum-class(f;init;X)(e) and
single-valued-bag(init loc(e);B) and
single-valued-classrel(es;X;A))
BY
{ (InstLemma `rec-combined-class-opt-1-single-val0` []
THEN RepeatFor 10 (ParallelLast)
THEN Unfold `Accum-class` 0
THEN Auto) }
Latex:
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[e:E].
\mforall{}[v1,v2:B].
(v1 = v2) supposing
(v1 \mmember{} Accum-class(f;init;X)(e) and
v2 \mmember{} Accum-class(f;init;X)(e) and
single-valued-bag(init loc(e);B) and
single-valued-classrel(es;X;A))
By
Latex:
(InstLemma `rec-combined-class-opt-1-single-val0` []
THEN RepeatFor 10 (ParallelLast)
THEN Unfold `Accum-class` 0
THEN Auto)
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