Nuprl Lemma : new_23_sig_Rounds-program_wf
∀[Cmd:ValueAllType]. ∀[cmdeq:EqDecider(Cmd)]. ∀[coeff,flrs:ℤ]. ∀[notify,propose:Atom List]. ∀[reps:bag(Id)].
∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
  (new_23_sig_Rounds-program(Cmd;cmdeq;coeff;flrs;notify;propose;reps;f)
   ∈ ∀x:ℤ × Cmd. LocalClass(new_23_sig_Rounds(Cmd;cmdeq;coeff;flrs;notify;propose;reps;f) x))
Proof
Definitions occuring in Statement : 
new_23_sig_Rounds-program: new_23_sig_Rounds-program(Cmd;cmdeq;coeff;flrs;notify;propose;reps;f)
, 
new_23_sig_Rounds: new_23_sig_Rounds(Cmd;cmdeq;coeff;flrs;notify;propose;reps;f)
, 
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose)
, 
msg-interface: Interface
, 
Message: Message(f)
, 
local-class: LocalClass(X)
, 
Id: Id
, 
deq: EqDecider(T)
, 
list: T List
, 
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
, 
atom: Atom
, 
bag: bag(T)
Lemmas : 
sq_stable__and, 
equal_wf, 
vatype_wf, 
cons_wf_listp, 
cons_wf, 
nil_wf, 
listp_wf, 
sq_stable__equal, 
squash_wf, 
int_seg_wf, 
length_wf, 
name_wf, 
new_23_sig_headers_wf, 
l_all_iff, 
l_member_wf, 
new_23_sig_headers_fun_wf, 
cons_member, 
equal-wf-base, 
list_subtype_base, 
atom_subtype_base, 
iff_weakening_equal, 
name_eq_wf, 
bool_wf, 
eqtt_to_assert, 
assert-name_eq, 
sq_stable__no_repeats, 
true_wf, 
eqff_to_assert, 
bool_cases_sqequal, 
subtype_base_sq, 
bool_subtype_base, 
assert-bnot, 
subtype_rel_dep_function, 
parallel-class-program_wf, 
Message_wf, 
msg-interface_wf, 
product-valueall-type, 
int-valueall-type, 
Id-valueall-type, 
Message-valueall-type, 
new_23_sig_Round_wf, 
bind-class_wf, 
new_23_sig_NewRounds_wf, 
new_23_sig_Round-program_wf, 
bind-class-program_wf, 
new_23_sig_NewRounds-program_wf, 
new_23_sig_headers_type_wf, 
bag_wf, 
Id_wf, 
list_wf, 
deq_wf, 
set_wf, 
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[cmdeq:EqDecider(Cmd)].  \mforall{}[coeff,flrs:\mBbbZ{}].  \mforall{}[notify,propose:Atom  List].
\mforall{}[reps:bag(Id)].  \mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].
    (new\_23\_sig\_Rounds-program(Cmd;cmdeq;coeff;flrs;notify;propose;reps;f)
      \mmember{}  \mforall{}x:\mBbbZ{}  \mtimes{}  Cmd.  LocalClass(new\_23\_sig\_Rounds(Cmd;cmdeq;coeff;flrs;notify;propose;reps;f)  x))
Date html generated:
2015_07_23-PM-03_51_42
Last ObjectModification:
2015_02_04-PM-01_55_51
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