Nuprl Lemma : pv11_p1_CommanderOutput-program_wf
∀[Cmd:ValueAllType]. ∀[accpts,reps:bag(Id)]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  (pv11_p1_CommanderOutput-program(Cmd;accpts;reps;mf) ∈ ∀x:pv11_p1_Ballot_Num() × ℤ × Cmd
                                                           LocalClass(pv11_p1_CommanderOutput(Cmd;accpts;reps;mf) x))
Proof
Definitions occuring in Statement : 
pv11_p1_CommanderOutput-program: pv11_p1_CommanderOutput-program(Cmd;accpts;reps;mf)
, 
pv11_p1_CommanderOutput: pv11_p1_CommanderOutput(Cmd;accpts;reps;mf)
, 
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd)
, 
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num()
, 
msg-interface: Interface
, 
Message: Message(f)
, 
local-class: LocalClass(X)
, 
Id: Id
, 
vatype: ValueAllType
, 
uall: ∀[x:A]. B[x]
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
apply: f a
, 
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, 
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, 
once-class-program_wf, 
Message_wf, 
msg-interface_wf, 
eclass2_wf, 
eclass1_wf, 
bag_wf, 
pv11_p1_p2b'base_wf, 
pv11_p1_commander_output_wf, 
pv11_p1_CommanderState_wf, 
eclass2-program_wf, 
product-valueall-type, 
int-valueall-type, 
Id-valueall-type, 
Message-valueall-type, 
eclass1-program_wf, 
function-valueall-type, 
bag-value-type, 
pv11_p1_p2b'base-program_wf, 
pv11_p1_CommanderState-program_wf, 
all_wf, 
local-class_wf, 
pv11_p1_headers_type_wf, 
Id_wf, 
set_wf, 
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[accpts,reps:bag(Id)].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
    (pv11\_p1\_CommanderOutput-program(Cmd;accpts;reps;mf)
      \mmember{}  \mforall{}x:pv11\_p1\_Ballot\_Num()  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd.  LocalClass(pv11\_p1\_CommanderOutput(Cmd;accpts;reps;mf)  x))
Date html generated:
2015_07_23-PM-04_32_06
Last ObjectModification:
2015_02_04-AM-07_22_22
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