Nuprl Lemma : OARcast_orderer_for_sender_outputs_wf
∀[M:ValueAllType]. ∀[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom List]. ∀[receivers:bag(Id)].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
(OARcast_orderer_for_sender_outputs(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) ∈ Id
─→ Id
─→ ((ℤ × M) List × ℤ × ((ℤ × M) List))
─→ bag(Interface))
Proof
Definitions occuring in Statement :
OARcast_orderer_for_sender_outputs: OARcast_orderer_for_sender_outputs(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf),
OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr),
msg-interface: Interface,
Id: Id,
list: T List,
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,
bag-union_wf,
msg-interface_wf,
map_wf,
bag_wf,
OARcast_ordered'bsign_wf,
list-subtype-bag,
subtype_rel_self,
list_wf,
OARcast_headers_type_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[M:ValueAllType]. \mforall{}[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom List]. \mforall{}[receivers:bag(Id)].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
(OARcast\_orderer\_for\_sender\_outputs(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) \mmember{} Id
{}\mrightarrow{} Id
{}\mrightarrow{} ((\mBbbZ{} \mtimes{} M) List \mtimes{} \mBbbZ{} \mtimes{} ((\mBbbZ{} \mtimes{} M) List))
{}\mrightarrow{} bag(Interface))
Date html generated:
2015_07_23-PM-00_31_38
Last ObjectModification:
2015_02_04-PM-04_30_39
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