Nuprl Lemma : class-output-support-no_repeats
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[bg:bag(E)].
(bag-no-repeats(E;class-output-support(es;bg))) supposing
(bag-no-repeats(E;bg) and
(∀e1,e2:E. (e2 ↓∈ bg ⇒ e1 ↓∈ bg ⇒ (¬(e1 <loc e2)))))
Proof
Definitions occuring in Statement :
class-output-support: class-output-support(es;bg),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
universe: Type,
bag-member: x ↓∈ bs,
bag-no-repeats: bag-no-repeats(T;bs),
bag: bag(T)
Lemmas :
bag-no-repeats_wf,
es-E_wf,
event-ordering+_subtype,
all_wf,
bag-member_wf,
not_wf,
es-locl_wf,
bag_wf,
event-ordering+_wf,
sq_stable__bag-no-repeats,
bag-combine_wf,
es-le-before_wf,
list-subtype-bag,
Id_wf,
es-loc_wf,
squash_wf,
true_wf,
iff_weakening_equal,
concat_wf,
map_wf,
list_wf,
es-le-before_wf2,
subtype_rel_list,
es-le_wf,
subtype_rel_self,
no_repeats_wf,
no_repeats_concat,
length-map-sq,
top_wf,
select-map,
es-le-before-no_repeats,
select_wf,
sq_stable__le,
l_member_wf,
int_seg_wf,
length_wf,
set_wf,
equal_wf,
lelt_wf,
member-es-le-before,
es-le-loc,
select_member,
subtype_base_sq,
atom2_subtype_base,
es-causl-total,
int_seg_subtype-nat,
false_wf,
bag-member-select
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[bg:bag(E)].
(bag-no-repeats(E;class-output-support(es;bg))) supposing
(bag-no-repeats(E;bg) and
(\mforall{}e1,e2:E. (e2 \mdownarrow{}\mmember{} bg {}\mRightarrow{} e1 \mdownarrow{}\mmember{} bg {}\mRightarrow{} (\mneg{}(e1 <loc e2)))))
Date html generated:
2015_07_17-PM-00_28_59
Last ObjectModification:
2015_02_04-PM-05_33_30
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