Nuprl Lemma : pv11_p1_decision'broadcast_wf
∀[Cmd:ValueAllType]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
(pv11_p1_decision'broadcast(Cmd;mf) ∈ bag(Id) ─→ (ℤ × Cmd) ─→ bag(Interface))
Proof
Definitions occuring in Statement :
pv11_p1_decision'broadcast: pv11_p1_decision'broadcast(Cmd;mf),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
msg-interface: Interface,
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
bag: bag(T)
Lemmas :
sq_stable__and,
equal_wf,
cons_wf_listp,
nil_wf,
listp_wf,
vatype_wf,
cons_wf,
pv11_p1_Ballot_Num_wf,
list_wf,
equal-wf-T-base,
Id_wf,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
pv11_p1_headers_wf,
l_all_iff,
l_member_wf,
pv11_p1_headers_fun_wf,
cons_member,
equal-wf-base,
iff_weakening_equal,
subtype_rel_dep_function,
bag-map_wf,
msg-interface_wf,
mk-msg-interface_wf,
make-Msg_wf,
subtype_rel_weakening,
ext-eq_weakening,
bag_wf,
pv11_p1_headers_type_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
(pv11\_p1\_decision'broadcast(Cmd;mf) \mmember{} bag(Id) {}\mrightarrow{} (\mBbbZ{} \mtimes{} Cmd) {}\mrightarrow{} bag(Interface))
Date html generated:
2015_07_23-PM-04_12_28
Last ObjectModification:
2015_02_04-AM-07_24_35
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