Nuprl Lemma : information-flow-relation_wf
∀[Info,T:Type]. ∀[S:Id List]. ∀[F:information-flow(T;S)]. ∀[es:EO+(Info)]. ∀[X:EClass(T)].
∀[i:{i:Id| (i ∈ S)} ]. ∀[e:E(X)]. (information-flow-relation(es;X;F;e;i) ∈ ℙ) supposing es-interface-locs-list(es;X;S\000C)
Proof
Definitions occuring in Statement :
information-flow-relation: information-flow-relation(es;X;F;e;i),
es-interface-locs-list: es-interface-locs-list(es;X;S),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
information-flow: information-flow(T;S),
Id: Id,
l_member: (x ∈ l),
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type
Lemmas :
length-es-interface-vals,
es-interface-predecessors-nonempty,
less_than_wf,
length_wf,
set_wf,
list_wf,
assert_wf,
can-apply_wf,
l_member_wf,
subtype_rel_dep_function,
top_wf,
subtype_rel_sum,
equal_wf,
es-E-interface_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Id_wf,
es-interface-locs-list_wf,
eclass_wf,
information-flow_wf
Latex:
\mforall{}[Info,T:Type]. \mforall{}[S:Id List]. \mforall{}[F:information-flow(T;S)]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)].
\mforall{}[i:\{i:Id| (i \mmember{} S)\} ]. \mforall{}[e:E(X)]. (information-flow-relation(es;X;F;e;i) \mmember{} \mBbbP{})
supposing es-interface-locs-list(es;X;S)
Date html generated:
2015_07_20-PM-03_52_52
Last ObjectModification:
2015_01_27-PM-10_09_00
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