Nuprl Lemma : delivered-with-headers-no_repeats
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdrs:Name List].
no_repeats(E;filter(λe.header(e) ∈b hdrs);≤loc(e)))
Proof
Definitions occuring in Statement :
es-header: header(e),
Message: Message(f),
event-ordering+: EO+(Info),
es-le-before: ≤loc(e),
es-E: E,
name-deq: NameDeq,
name: Name,
deq-member: x ∈b L),
no_repeats: no_repeats(T;l),
filter: filter(P;l),
list: T List,
uall: ∀[x:A]. B[x],
lambda: λx.A[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
no_repeats_filter,
deq-member_wf,
name-deq_wf,
es-header_wf,
subtype_rel_dep_function,
name_wf,
es-le-before_wf2,
subtype_rel_list,
es-le_wf,
es-le-before-no_repeats,
es-E_wf,
event-ordering+_subtype,
Message_wf,
filter_wf5,
l_member_wf,
list_wf,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdrs:Name List].
no\_repeats(E;filter(\mlambda{}e.header(e) \mmember{}\msubb{} hdrs);\mleq{}loc(e)))
Date html generated:
2015_07_21-PM-04_51_22
Last ObjectModification:
2015_01_28-AM-08_43_33
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