Nuprl Lemma : local-class-predicate-property2
∀[Info,A:Type]. ∀[X1,X2:EClass(A)]. ∀[F:Id ─→ hdataflow(Info;A)].
(local-class-predicate{i:l}(F;Info;A;X1)) supposing
(local-class-predicate{i:l}(F;Info;A;X2) and
(∀es:EO+(Info). ∀e:E. (X1(e) = X2(e) ∈ bag(A))))
Proof
Definitions occuring in Statement :
local-class-predicate: local-class-predicate{i:l}(F;Info;A;X),
class-ap: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T),
hdataflow: hdataflow(A;B)
Lemmas :
bag_wf,
hdf-ap_wf,
iterate-hdataflow_wf,
es-loc_wf,
map_wf,
es-info_wf,
es-before_wf,
hdataflow_wf,
iff_weakening_equal,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
local-class-predicate_wf,
all_wf,
equal_wf,
class-ap_wf,
Id_wf,
eclass_wf
\mforall{}[Info,A:Type]. \mforall{}[X1,X2:EClass(A)]. \mforall{}[F:Id {}\mrightarrow{} hdataflow(Info;A)].
(local-class-predicate\{i:l\}(F;Info;A;X1)) supposing
(local-class-predicate\{i:l\}(F;Info;A;X2) and
(\mforall{}es:EO+(Info). \mforall{}e:E. (X1(e) = X2(e))))
Date html generated:
2015_07_17-PM-00_31_31
Last ObjectModification:
2015_02_04-PM-05_32_44
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