Nuprl Lemma : base-process-class-program_wf
∀[f:Name ─→ Type]. ∀[Info,T:Type]. ∀[loc:Id]. ∀[hdr:Name].
∀[X:EClass(T)]. ∀[P:LocalClass(X)].
(base-process-class-program(P;loc;hdr) ∈ LocalClass(base-process-class(X;loc;hdr)))
supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
base-process-class-program: base-process-class-program(X;loc;hdr),
base-process-class: base-process-class(X;loc;hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
Id: Id,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
iterate-base-process-class-program,
base-process-class_wf,
base-process-class-program_wf1,
map_wf,
es-info_wf,
es-before_wf,
test-msg-header-and-loc_wf,
subtype_rel_product,
Id_wf,
top_wf,
subtype_rel_transitivity,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
empty-bag_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf,
all_wf,
bag_wf,
class-ap_wf,
hdf-ap_wf,
iterate-hdataflow_wf,
es-loc_wf,
hdataflow_wf,
local-class_wf,
eclass_wf,
encodes-msg-type_wf,
name_wf,
map_append_sq,
map_cons_lemma,
map_nil_lemma,
filter_append_sq,
filter_cons_lemma,
filter_nil_lemma,
list_wf,
assert_elim,
bfalse_wf,
and_wf,
bnot_wf,
btrue_neq_bfalse,
filter_type,
assert_wf,
assert-test-msg-header-and-loc,
msg-body_wf2,
subtype_rel-equal,
msg-type_wf,
iff_weakening_equal,
list-eo_wf,
assert_of_lt_int,
length_wf,
length_nil,
non_neg_length,
nil_wf,
length_wf_nil,
length_wf_nat,
length_cons,
length_append,
subtype_rel_list,
lt_int_wf,
list-eo-E,
subtract_wf,
zero-le-nat,
le_wf,
subtract-is-less,
append_wf,
cons_wf,
lelt_wf,
list-eo-loc,
list-eo-info-before,
list-eo-info,
length_of_cons_lemma,
length_of_nil_lemma,
firstn-append,
le_int_wf,
assert_of_le_int,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-mul-special,
zero-mul,
add-zero,
add-associates,
add-commutes,
le-add-cancel,
length-append,
trivial-int-eq1,
pi2_wf,
squash_wf,
true_wf,
firstn_all,
le_weakening,
select_append_back,
select-cons-hd,
decidable__le,
false_wf,
zero-add,
minus-zero
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info,T:Type]. \mforall{}[loc:Id]. \mforall{}[hdr:Name].
\mforall{}[X:EClass(T)]. \mforall{}[P:LocalClass(X)].
(base-process-class-program(P;loc;hdr) \mmember{} LocalClass(base-process-class(X;loc;hdr)))
supposing hdr encodes Id \mtimes{} Info
Date html generated:
2015_07_22-PM-00_03_47
Last ObjectModification:
2015_02_04-PM-05_10_34
Home
Index