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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