Nuprl Lemma : es-info-make-Msg-iff
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. ∀[v:f hdr].
uiff(make-Msg(hdr;v) = info(e) ∈ Message(f);msg-authentic(info(e)) = ff
∧ (header(e) = hdr ∈ Name)
∧ (msg-body(info(e)) = v ∈ (f hdr)))
Proof
Definitions occuring in Statement :
make-Msg: make-Msg(hdr;val),
es-header: header(e),
msg-body: msg-body(msg),
msg-authentic: msg-authentic(m),
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 :
equal_wf,
Message_wf,
make-Msg_wf,
es-info_wf,
es-info-make-Msg,
equal-wf-T-base,
bool_wf,
msg-authentic_wf,
es-header_wf,
subtype_rel_dep_function,
name_wf,
msg-body_wf2,
subtype_base_sq,
list_subtype_base,
atom_subtype_base,
subtype_rel_self,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
bfalse_wf,
basicMessage_wf,
msg-msg_wf,
and_wf,
pi1_wf_top,
subtype_rel_product,
top_wf,
subtype_top
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);msg-authentic(info(e)) = ff
\mwedge{} (header(e) = hdr)
\mwedge{} (msg-body(info(e)) = v))
Date html generated:
2015_07_21-PM-04_53_54
Last ObjectModification:
2015_01_28-AM-08_43_09
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