Nuprl Lemma : base-noloc-classrel-make-Msg2
∀[T:Type]. ∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. ∀[v:T].
uiff(v ∈ Base(hdr)(e);info(e) = mk-msg(msg-authentic(info(e));hdr;v) ∈ Message(f)) supposing T = (f hdr) ∈ Type
Proof
Definitions occuring in Statement :
mk-msg: mk-msg(auth;hdr;val),
base-headers-msg-val: Base(hdr),
msg-authentic: msg-authentic(m),
Message: Message(f),
classrel: v ∈ X(e),
es-info: info(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
apply: f a,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
base-noloc-classrel-make-Msg,
classrel_wf,
squash_wf,
true_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
base-headers-msg-val_wf,
encodes-msg-type-trivial,
subtype_rel_weakening,
ext-eq_weakening,
iff_weakening_equal,
mk-msg_wf,
msg-authentic_wf,
es-info_wf,
equal_wf,
Message_wf,
name_wf
Latex:
\mforall{}[T:Type]. \mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name]. \mforall{}[v:T].
uiff(v \mmember{} Base(hdr)(e);info(e) = mk-msg(msg-authentic(info(e));hdr;v)) supposing T = (f hdr)
Date html generated:
2015_07_22-PM-00_06_19
Last ObjectModification:
2015_02_04-PM-04_42_23
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