Nuprl Lemma : global-order-pairwise-compat-msg-interface-constraint
∀f:Name ─→ Type. ∀hdrs:Name List. ∀X:EClass(Interface).
(LocalClass(X)
⇒ (∀LL:(Id × Message(f)) List List
((∀L1,L2∈LL. L1 || L2)
⇒ (∀L∈LL.eo-msg-interface-constraint(global-eo(L);X;hdrs;f))
⇒ (∃G:(Id × Message(f)) List
(eo-msg-interface-constraint(global-eo(G);X;hdrs;f)
∧ (∀L∈LL.∃g:E ─→ E. es-local-embedding(Message(f);global-eo(L);global-eo(G);g)))))))
Proof
Definitions occuring in Statement :
eo-msg-interface-constraint: eo-msg-interface-constraint(es;X;hdrs;f),
msg-interface: Interface,
Message: Message(f),
global-order-compat: L1 || L2,
global-eo: global-eo(L),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
es-local-embedding: es-local-embedding(Info;eo1;eo2;f),
es-E: E,
Id: Id,
name: Name,
pairwise: (∀x,y∈L. P[x; y]),
l_all: (∀x∈L.P[x]),
list: T List,
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
implies: P ⇒ Q,
and: P ∧ Q,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
local-class_wf,
Message_wf,
eclass_wf3,
msg-interface_wf,
list_wf,
name_wf,
l_member_wf,
msg-header_wf,
last_wf,
listp_properties,
list-cases,
null_nil_lemma,
length_of_nil_lemma,
product_subtype_list,
null_cons_lemma,
length_of_cons_lemma,
false_wf,
listp_wf,
Id_wf,
exists_wf,
bag-member_wf,
make-msg-interface_wf,
hdf-ap_wf,
iterate-hdataflow_wf,
firstn_wf,
subtract_wf,
length_wf,
hdataflow_wf,
bag_wf,
map_append_sq,
map_cons_lemma,
map_nil_lemma,
last_append,
map_wf,
top_wf,
es-before_wf,
cons_wf,
es-info_wf,
nil_wf,
subtype_rel_list,
bfalse_wf,
assert_elim,
btrue_neq_bfalse,
assert_wf,
null_wf3,
es-header_wf,
es-E_wf,
event-ordering+_subtype,
squash-causal-invariant_wf,
eo-msg-interface-constraint_wf,
event-ordering+_wf,
all_wf,
iff_wf,
es-local-property_wf,
squash_wf,
and_wf,
es-causl_wf,
es-local-relation_wf,
true_wf,
es-loc_wf,
map-length,
classrel_wf,
equal_wf,
firstn_map,
append_wf,
zero-le-nat,
length_nil,
non_neg_length,
length_wf_nil,
length_wf_nat,
length_cons,
length_append,
le_wf,
firstn_append_front_singleton,
pi2_wf,
null-map,
es-le-before-not-null,
global-order-pairwise-compat-squash-invariant,
global-eo_wf,
select_wf,
sq_stable__le,
int_seg_wf,
l_all_wf2,
es-local-embedding_wf,
pairwise_wf,
global-order-compat_wf
Latex:
\mforall{}f:Name {}\mrightarrow{} Type. \mforall{}hdrs:Name List. \mforall{}X:EClass(Interface).
(LocalClass(X)
{}\mRightarrow{} (\mforall{}LL:(Id \mtimes{} Message(f)) List List
((\mforall{}L1,L2\mmember{}LL. L1 || L2)
{}\mRightarrow{} (\mforall{}L\mmember{}LL.eo-msg-interface-constraint(global-eo(L);X;hdrs;f))
{}\mRightarrow{} (\mexists{}G:(Id \mtimes{} Message(f)) List
(eo-msg-interface-constraint(global-eo(G);X;hdrs;f)
\mwedge{} (\mforall{}L\mmember{}LL.\mexists{}g:E {}\mrightarrow{} E. es-local-embedding(Message(f);global-eo(L);global-eo(G);g)))))))
Date html generated:
2015_07_22-AM-11_59_35
Last ObjectModification:
2015_01_28-AM-08_44_23
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