Nuprl Lemma : OARcast_deliverer_for_sender_seq_output_wf
∀[M:ValueAllType]. ∀[deliverhdr:Atom List]. ∀[flrs:ℤ]. ∀[oarcasthdr,orderedhdr,orderhdr:Atom List].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
(OARcast_deliverer_for_sender_seq_output(M;deliverhdr;flrs;oarcasthdr;orderedhdr;orderhdr;mf) ∈ Id
─→ ℤ
─→ Id
─→ (bag(Id) × ((M × ℕ) List))
─→ bag(Interface))
Proof
Definitions occuring in Statement :
OARcast_deliverer_for_sender_seq_output: OARcast_deliverer_for_sender_seq_output(M;deliverhdr;flrs;oarcasthdr;orderedhdr;orderhdr;mf),
OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr),
msg-interface: Interface,
Id: Id,
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,
Id_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,
subtype_rel_dep_function,
let_wf,
unit_wf2,
bag_wf,
msg-interface_wf,
isl_wf,
single-bag_wf,
OARcast_deliver'send_wf,
empty-bag_wf,
oarcast-deliver-output_wf,
list_wf,
nat_wf,
OARcast_headers_type_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[M:ValueAllType]. \mforall{}[deliverhdr:Atom List]. \mforall{}[flrs:\mBbbZ{}]. \mforall{}[oarcasthdr,orderedhdr,orderhdr:Atom List].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
(OARcast\_deliverer\_for\_sender\_seq\_output(M;deliverhdr;flrs;oarcasthdr;orderedhdr;orderhdr;mf) \mmember{} Id
{}\mrightarrow{} \mBbbZ{}
{}\mrightarrow{} Id
{}\mrightarrow{} (bag(Id) \mtimes{} ((M \mtimes{} \mBbbN{}) List))
{}\mrightarrow{} bag(Interface))
Date html generated:
2015_07_23-PM-00_33_36
Last ObjectModification:
2015_02_04-PM-04_28_56
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