Nuprl Lemma : local-class-only-headers
∀[f:Name ─→ Type]. ∀[hdrs:Name List]. ∀[X:EClass(Interface)].
(class-only-headers{i:l}(f;hdrs;X) ⇒ (∀P:LocalClass(X). ∀a:Id. hdf-only-headers(f;hdrs;P a)))
Proof
Definitions occuring in Statement :
class-only-headers: class-only-headers{i:l}(f;hdrs;X),
hdf-only-headers: hdf-only-headers(f;hdrs;X),
msg-interface: Interface,
Message: Message(f),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
Id: Id,
name: Name,
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
function: x:A ─→ B[x],
universe: Type
Lemmas :
Id_wf,
local-class_wf,
Message_wf,
msg-interface_wf,
class-only-headers_wf,
eclass_wf3,
list_wf,
name_wf,
iterate-hdataflow_wf,
hdataflow_wf,
hdataflow-ext,
bag_wf,
unit_wf2,
hdf-ap-run,
hdf-ap_wf,
equal_wf,
hdf-run_wf,
subtype-corec1,
subtype_rel_sum,
subtype_rel_function,
subtype_rel_simple_product,
subtype_rel_wf,
es-loc_wf,
event-ordering+_subtype,
map_wf,
es-E_wf,
es-info_wf,
es-before_wf,
iff_weakening_equal,
event-ordering+_wf,
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,
top_wf,
assert_wf,
lt_int_wf,
list-eo-E,
zero-le-nat,
lelt_wf,
squash_wf,
true_wf,
all_wf,
bag-member_wf,
l_member_wf,
msg-header_wf,
msg-interface-message_wf,
list-eo-loc,
append_wf,
cons_wf,
list-eo-info-before,
length-append,
length_of_cons_lemma,
length_of_nil_lemma,
subtype_base_sq,
bool_wf,
bool_subtype_base,
iff_imp_equal_bool,
btrue_wf,
less_than_wf,
decidable__lt,
false_wf,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-mul-special,
zero-mul,
add-zero,
add-associates,
add-commutes,
le-add-cancel,
iff_wf,
list-eo-info,
firstn-append,
le_int_wf,
eqtt_to_assert,
assert_of_le_int,
firstn_length,
eqff_to_assert,
bool_cases_sqequal,
assert-bnot,
le_wf,
not-le-2,
select-append,
nat_wf,
less_than_irreflexivity,
int_subtype_base
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdrs:Name List]. \mforall{}[X:EClass(Interface)].
(class-only-headers\{i:l\}(f;hdrs;X) {}\mRightarrow{} (\mforall{}P:LocalClass(X). \mforall{}a:Id. hdf-only-headers(f;hdrs;P a)))
Date html generated:
2015_07_22-PM-00_01_01
Last ObjectModification:
2015_02_04-PM-05_08_30
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