Nuprl Lemma : until-class-program_wf
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[Y:EClass(C)]. ∀[xpr:LocalClass(X)]. ∀[ypr:LocalClass(Y)].
(until-class-program(xpr;ypr) ∈ LocalClass((X until Y)))
Proof
Definitions occuring in Statement :
until-class-program: until-class-program(xpr;ypr),
until-class: (X until Y),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
es-le_wf,
event-ordering+_subtype,
es-E_wf,
es-loc_wf,
hdataflow_wf,
es-le-loc,
and_wf,
equal_wf,
Id_wf,
iterate-hdataflow_wf,
map_wf,
es-info_wf,
es-before_wf,
hdf-ap_wf,
bag_wf,
pi2_wf,
es-causl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
all_wf,
class-ap_wf,
int_seg_wf,
int_seg_subtype-nat,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
decidable__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
le_wf,
nat_wf,
zero-le-nat,
lelt_wf,
es-causl_wf,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
es-first_wf2,
bool_wf,
eqtt_to_assert,
map_nil_lemma,
iter_hdf_nil_lemma,
hdf-until_wf,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
es-pred_wf,
subtype_rel_list,
top_wf,
map_cons_lemma,
iter_hdf_cons_lemma,
es-pred-locl,
es-causl_weakening,
es-locl_transitivity1,
es-le_weakening,
iff_weakening_equal,
lt_int_wf,
bag-size_wf,
assert_of_lt_int,
hdf-halt_wf,
isl_wf,
sq_exists_wf,
es-locl_wf,
assert_wf,
not_wf,
es-local-pred_wf,
or_wf,
map_append_sq,
iterate-hdf-append,
hdf-until-ap-fst,
hdf_ap_halt_lemma,
hdf-until-halt-left,
hdataflow-ext,
unit_wf2,
bag-null_wf,
assert-bag-null,
equal-wf-T-base,
hdf-run_wf,
hdf-ap-inl,
hdf-until-halt-right,
bag_size_empty_lemma,
squash_wf,
true_wf,
empty-bag-iff-size,
minus-zero,
until-class_wf,
es-interface-subtype_rel2,
event-ordering+_wf,
class-pred_wf,
empty-bag_wf,
hdf-until-ap-snd
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[Y:EClass(C)]. \mforall{}[xpr:LocalClass(X)]. \mforall{}[ypr:LocalClass(Y)].
(until-class-program(xpr;ypr) \mmember{} LocalClass((X until Y)))
Date html generated:
2015_07_22-PM-00_02_19
Last ObjectModification:
2015_02_04-PM-05_13_59
Home
Index