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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