Nuprl Lemma : OARcast_DelivererForSenderSeqState_wf
∀[M:ValueAllType]. ∀[deliverhdr:Atom List]. ∀[deqM:EqDecider(M)]. ∀[oarcasthdr,orderedhdr:Atom List].
∀[orderers:bag(Id)]. ∀[orderhdr:Atom List].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
(OARcast_DelivererForSenderSeqState(M;deliverhdr;deqM;oarcasthdr;orderedhdr;orderers;orderhdr;mf) ∈ Id
─→ ℤ
─→ EClass(bag(Id) × ((M × ℕ) List)))
Proof
Definitions occuring in Statement :
OARcast_DelivererForSenderSeqState: OARcast_DelivererForSenderSeqState(M;deliverhdr;deqM;oarcasthdr;orderedhdr;orderers;orderhdr;mf),
OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr),
Message: Message(f),
eclass: EClass(A[eo; e]),
Id: Id,
deq: EqDecider(T),
list: T List,
nat: ℕ,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
atom: Atom,
bag: bag(T)
Lemmas :
sq_stable__and,
equal_wf,
vatype_wf,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
OARcast_headers_wf,
l_all_iff,
l_member_wf,
OARcast_headers_fun_wf,
cons_member,
cons_wf,
nil_wf,
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,
Id_wf,
subtype_rel_dep_function,
state-class1_wf,
Message_wf,
list_wf,
nat_wf,
OARcast_init_odstate_wf,
OARcast_deliverer_for_sender_seq_update_wf,
OARcast_ordered'verify_wf,
OARcast_headers_type_wf,
bag_wf,
deq_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[M:ValueAllType]. \mforall{}[deliverhdr:Atom List]. \mforall{}[deqM:EqDecider(M)].
\mforall{}[oarcasthdr,orderedhdr:Atom List]. \mforall{}[orderers:bag(Id)]. \mforall{}[orderhdr:Atom List].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
(OARcast\_DelivererForSenderSeqState(M;deliverhdr;deqM;oarcasthdr;orderedhdr;orderers;orderhdr;mf)
\mmember{} Id {}\mrightarrow{} \mBbbZ{} {}\mrightarrow{} EClass(bag(Id) \mtimes{} ((M \mtimes{} \mBbbN{}) List)))
Date html generated:
2015_07_23-PM-00_33_00
Last ObjectModification:
2015_02_04-PM-04_28_37
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