Nuprl Lemma : new_23_sig_QuorumState-functional
∀[Cmd:ValueAllType]. ∀[notify,propose:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀[es:EO+(Message(f))]. ∀[x:ℤ × ℤ].
new_23_sig_QuorumState(Cmd;notify;propose;f) x is functional
Proof
Definitions occuring in Statement :
new_23_sig_QuorumState: new_23_sig_QuorumState(Cmd;notify;propose;f),
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
Message: Message(f),
es-functional-class: X is functional,
event-ordering+: EO+(Info),
Id: Id,
list: T List,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
apply: f a,
product: x:A × B[x],
int: ℤ,
atom: Atom
Lemmas :
sq_stable__and,
equal_wf,
vatype_wf,
cons_wf_listp,
cons_wf,
nil_wf,
listp_wf,
Id_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,
loop-class-memory-functional,
Message_wf,
list_wf,
single-bag_wf,
eclass1_wf,
new_23_sig_vote'base_wf,
new_23_sig_add_to_quorum_wf,
bag_size_single_lemma,
false_wf,
eclass1-single-val,
base-headers-msg-val-single-val,
subtype_rel_weakening,
ext-eq_weakening,
single-valued-bag-single,
classrel_wf,
new_23_sig_QuorumState_wf,
es-E_wf,
event-ordering+_subtype,
less_than_wf,
bag-size_wf,
class-ap_wf,
nat_wf,
event-ordering+_wf,
subtype_rel_dep_function,
new_23_sig_headers_type_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[notify,propose:Atom List].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[x:\mBbbZ{} \mtimes{} \mBbbZ{}].
new\_23\_sig\_QuorumState(Cmd;notify;propose;f) x is functional
Date html generated:
2015_07_23-PM-03_50_41
Last ObjectModification:
2015_02_04-PM-01_59_40
Home
Index