Nuprl Lemma : Accum-class-es-sv1
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(B)]. ∀[f:A ─→ B ─→ B].
(es-sv-class(es;Accum-class(f;init;X))) supposing ((∀l:Id. (#(init l) ≤ 1)) and es-sv-class(es;X))
Proof
Definitions occuring in Statement :
Accum-class: Accum-class(f;init;X),
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
le: A ≤ B,
all: ∀x:A. B[x],
apply: f a,
function: x:A ─→ B[x],
natural_number: $n,
universe: Type,
bag-size: #(bs),
bag: bag(T)
Lemmas :
rec-combined-class-opt-1-es-sv,
subtype_rel_dep_function,
bag_wf,
top_wf,
subtype_rel_bag,
less_than_wf,
bag-size_wf,
Accum-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
nat_wf,
all_wf,
Id_wf,
le_wf,
es-sv-class_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} B].
(es-sv-class(es;Accum-class(f;init;X))) supposing ((\mforall{}l:Id. (\#(init l) \mleq{} 1)) and es-sv-class(es;X))
Date html generated:
2015_07_22-PM-00_17_42
Last ObjectModification:
2015_01_28-AM-10_42_58
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