Nuprl Lemma : Accum-loc-class-es-sv
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[init:Id ⟶ bag(Top)]. ∀[f:Top].
(es-sv-class(es;Accum-loc-class(f;init;X))) supposing ((∀l:Id. (#(init l) ≤ 1)) and es-sv-class(es;X))
Proof
Definitions occuring in Statement :
Accum-loc-class: Accum-loc-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],
top: Top,
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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
Accum-loc-class: Accum-loc-class(f;init;X),
member: t ∈ T,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
nat: ℕ,
so_apply: x[s],
all: ∀x:A. B[x],
prop: ℙ,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)]. \mforall{}[f:Top].
(es-sv-class(es;Accum-loc-class(f;init;X))) supposing
((\mforall{}l:Id. (\#(init l) \mleq{} 1)) and
es-sv-class(es;X))
Date html generated:
2016_05_17-AM-09_32_34
Last ObjectModification:
2015_12_29-PM-03_59_51
Theory : classrel!lemmas
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