Nuprl Lemma : strong-message-constraint-implies-message-constraint
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. ∀[hdrs:Name List].
(strong-message-constraint{i:l}(es;X;hdrs;f) ⇒ message-constraint{i:l}(es;X;hdrs;f))
Proof
Definitions occuring in Statement :
strong-message-constraint: strong-message-constraint{i:l}(es;X;hdrs;f),
message-constraint: message-constraint{i:l}(es;X;hdrs;f),
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
list: T List,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
member-class-output,
es-loc_wf,
es-info_wf,
member-class-le-before,
es-causl_transitivity1,
es-causle_weakening_locl,
es-causl_wf,
classrel_wf,
Id_wf,
Message_wf,
l_member_wf,
es-header_wf,
es-E_wf,
event-ordering+_subtype,
strong-message-constraint_wf,
name_wf,
subtype_rel_dep_function,
list_wf,
eclass_wf3,
event-ordering+_wf,
bag-member_wf,
squash_wf,
true_wf,
bag_wf,
iff_weakening_equal,
bag-member-append,
delivered-with-headers_wf,
list-subtype-bag,
msg-header_wf,
subtype_rel_list,
member-mapfilter,
es-le-before_wf,
set_wf,
deq-member_wf,
name-deq_wf,
assert_wf,
assert-deq-member,
subtype_rel_self,
member-es-le-before2,
es-le_weakening_eq
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[X:EClass(Id \mtimes{} Message(f))]. \mforall{}[hdrs:Name List].
(strong-message-constraint\{i:l\}(es;X;hdrs;f) {}\mRightarrow{} message-constraint\{i:l\}(es;X;hdrs;f))
Date html generated:
2015_07_21-PM-04_51_27
Last ObjectModification:
2015_02_04-PM-05_08_46
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