Nuprl Lemma : pi-system_wf
∀[f:(Id List) ─→ Id]. ∀[l_server,l_choose,l_comm,l_pi:Id].
(pi-system(f;l_server;l_choose;l_comm;l_pi) ∈ pi_term() ─→ System(P.piM(P)))
Proof
Definitions occuring in Statement :
pi-system: pi-system(f;l_server;l_choose;l_comm;l_pi),
piM: piM(T),
pi_term: pi_term(),
System: System(P.M[P]),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x]
Lemmas :
cons_wf,
component_wf,
piM_wf,
loc-Server_wf2,
pi-process_wf,
nat-to-incomparable_wf,
nil_wf,
make-lg_wf_dag,
pInTransit_wf,
pi_term_wf,
Id_wf,
list_wf,
mk-tagged_wf,
Process_wf,
assert_of_eq_atom,
pDVfire_wf,
PiDataVal_wf,
mk-tagged_wf_unequal,
iff_transitivity,
not_wf,
equal-wf-base,
false_wf,
true_wf,
iff_weakening_uiff,
assert_of_bnot,
bfalse_wf,
unit_wf2,
bool_wf
Latex:
\mforall{}[f:(Id List) {}\mrightarrow{} Id]. \mforall{}[l$_{server}$,l$_{choose}$,l$\mbackslash{}ff5\000Cf{comm}$,l$_{pi}$:Id].
(pi-system(f;l$_{server}$;l$_{choose}$;l$_{com\000Cm}$;l$_{pi}$) \mmember{} pi\_term() {}\mrightarrow{} System(P.piM(P)))
Date html generated:
2015_07_23-AM-11_59_36
Last ObjectModification:
2015_01_29-AM-07_47_05
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