Nuprl Lemma : Message-eta
∀[f:Name ─→ Type]. ∀[m:Message(f)].
(m
= if msg-authentic(m) then make-Authentic-Msg(msg-header(m);msg-body(m)) else make-Msg(msg-header(m);msg-body(m)) fi
∈ Message(f))
Proof
Definitions occuring in Statement :
make-Authentic-Msg: make-Authentic-Msg(hdr;val),
make-Msg: make-Msg(hdr;val),
msg-body: msg-body(msg),
msg-header: msg-header(m),
msg-authentic: msg-authentic(m),
Message: Message(f),
name: Name,
ifthenelse: if b then t else f fi ,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
bool_wf,
eqtt_to_assert,
btrue_wf,
make-basicMsg_wf,
basicMessage_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bfalse_wf,
Message_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[m:Message(f)].
(m
= if msg-authentic(m)
then make-Authentic-Msg(msg-header(m);msg-body(m))
else make-Msg(msg-header(m);msg-body(m))
fi )
Date html generated:
2015_07_21-PM-04_53_42
Last ObjectModification:
2015_01_28-AM-08_43_02
Home
Index