Nuprl Lemma : local-class-predicate-property
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[F1,F2:Id ─→ hdataflow(Info;A)].
(local-class-predicate{i:l}(F2;Info;A;X)) supposing
(local-class-predicate{i:l}(F1;Info;A;X) and
(∀i:Id. (F1[i] = F2[i] ∈ hdataflow(Info;A))))
Proof
Definitions occuring in Statement :
local-class-predicate: local-class-predicate{i:l}(F;Info;A;X),
eclass: EClass(A[eo; e]),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
hdataflow: hdataflow(A;B)
Lemmas :
es-loc_wf,
equal_wf,
bag_wf,
hdf-ap_wf,
iterate-hdataflow_wf,
map_wf,
es-info_wf,
es-before_wf,
hdataflow_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
local-class-predicate_wf,
all_wf,
Id_wf,
eclass_wf
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[F1,F2:Id {}\mrightarrow{} hdataflow(Info;A)].
(local-class-predicate\{i:l\}(F2;Info;A;X)) supposing
(local-class-predicate\{i:l\}(F1;Info;A;X) and
(\mforall{}i:Id. (F1[i] = F2[i])))
Date html generated:
2015_07_17-PM-00_31_25
Last ObjectModification:
2015_01_27-PM-11_30_15
Home
Index