{ 
[M:Type 
 Type]. 
[c:pCom(P.M[P])]. 
[nmsg,lmsg:pMsg(P.M[P])].
    (command-to-msg(c;nmsg;lmsg) 
 pMsg(P.M[P])) }
{ Proof }
Definitions occuring in Statement : 
command-to-msg: command-to-msg(c;nmsg;lmsg), 
pCom: pCom(P.M[P]), 
pMsg: pMsg(P.M[P]), 
uall:
[x:A]. B[x], 
so_apply: x[s], 
member: t 
 T, 
function: x:A 
 B[x], 
universe: Type
Definitions : 
uall:
[x:A]. B[x], 
so_apply: x[s], 
member: t 
 T, 
command-to-msg: command-to-msg(c;nmsg;lmsg), 
ifthenelse: if b then t else f fi , 
so_lambda: 
x.t[x], 
all:
x:A. B[x], 
implies: P 
 Q, 
btrue: tt, 
prop:
, 
bfalse: ff, 
bool:
, 
unit: Unit, 
iff: P 

 Q, 
and: P 
 Q, 
uimplies: b supposing a, 
it:
Lemmas : 
eq_atom_wf, 
com-kind_wf, 
bool_wf, 
iff_weakening_uiff, 
uiff_transitivity, 
assert_wf, 
eqtt_to_assert, 
assert_of_eq_atom, 
comm-msg_wf, 
not_wf, 
bnot_wf, 
eqff_to_assert, 
assert_of_bnot, 
not_functionality_wrt_uiff, 
pMsg_wf, 
pCom_wf
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}[c:pCom(P.M[P])].  \mforall{}[nmsg,lmsg:pMsg(P.M[P])].
    (command-to-msg(c;nmsg;lmsg)  \mmember{}  pMsg(P.M[P]))
Date html generated:
2011_08_17-PM-03_44_22
Last ObjectModification:
2011_06_18-AM-11_25_28
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