Nuprl Lemma : strong-message-constraint-no-rep-large-1hdr
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. ∀[hdrs:Name List].
(no_repeats(Name;hdrs)
⇒ strong-message-constraint-no-rep-large{i:l}(es;X;hdrs;f)
⇒ (∀hdr:Name. ((hdr ∈ hdrs) ⇒ strong-message-constraint-no-rep-large{i:l}(es;X;[hdr];f))))
Proof
Definitions occuring in Statement :
strong-message-constraint-no-rep-large: strong-message-constraint-no-rep-large{i:l}(es;X;hdrs;f),
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
no_repeats: no_repeats(T;l),
l_member: (x ∈ l),
cons: [a / b],
nil: [],
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
l_member_decomp,
name_wf,
subtype_base_sq,
list_wf,
list_subtype_base,
atom_subtype_base,
deq-member-append,
name-deq_wf,
append_wf,
cons_wf,
nil_wf,
es-header_wf,
subtype_rel_dep_function,
bor_wf,
deq-member_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
sub-bag_wf,
squash_wf,
true_wf,
bag_wf,
Id_wf,
mapfilter_wf,
es-loc_wf,
es-le-before_wf,
assert_wf,
set_wf,
es-info_wf,
list-subtype-bag,
subtype_rel_self,
member_wf,
bool_wf,
and_wf,
equal_wf,
es-le-before_wf2,
subtype_rel_wf,
iff_weakening_equal,
mapfilter-subbag,
deq_member_cons_lemma,
deq_member_nil_lemma,
iff_transitivity,
deq_wf,
bfalse_wf,
or_wf,
l_member_wf,
false_wf,
iff_weakening_uiff,
assert_of_bor,
assert-deq-member,
assert-name-deq,
list_ind_cons_lemma,
list_ind_nil_lemma,
eqtt_to_assert,
eqff_to_assert,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[X:EClass(Id \mtimes{} Message(f))]. \mforall{}[hdrs:Name List].
(no\_repeats(Name;hdrs)
{}\mRightarrow{} strong-message-constraint-no-rep-large\{i:l\}(es;X;hdrs;f)
{}\mRightarrow{} (\mforall{}hdr:Name. ((hdr \mmember{} hdrs) {}\mRightarrow{} strong-message-constraint-no-rep-large\{i:l\}(es;X;[hdr];f))))
Date html generated:
2015_07_21-PM-04_52_56
Last ObjectModification:
2015_02_04-PM-05_08_51
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