Nuprl Lemma : es-info-make-Msg-iff2
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. ∀[v:f hdr].
uiff(make-Msg(hdr;v) = info(e) ∈ Message(f);es-authentic(es;e) = ff
∧ (header(e) = hdr ∈ Name)
∧ (msgval(e) = v ∈ (f hdr)))
Proof
Definitions occuring in Statement :
make-Msg: make-Msg(hdr;val),
es-info-body: msgval(e),
es-header: header(e),
es-authentic: es-authentic(es;e),
Message: Message(f),
es-info: info(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
bfalse: ff,
bool: 𝔹,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
and: P ∧ Q,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-info-make-Msg-iff
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name]. \mforall{}[v:f hdr].
uiff(make-Msg(hdr;v) = info(e);es-authentic(es;e) = ff \mwedge{} (header(e) = hdr) \mwedge{} (msgval(e) = v))
Date html generated:
2015_07_21-PM-04_53_56
Last ObjectModification:
2015_01_28-AM-08_42_05
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