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,
no_repeats: no_repeats(T;l),
deq-member: x ∈b L,
filter: filter(P;l),
list: T List,
uall: ∀[x:A]. B[x],
lambda: λx.A[x],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x],
prop: ℙ,
implies: P ⇒ Q
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:
2016_05_17-AM-08_55_24
Last ObjectModification:
2015_12_29-PM-02_54_09
Theory : messages
Home
Index