Nuprl Lemma : es-rec-class_wf
∀[Info,T:Type]. ∀[G:es:EO+(Info) ─→ E ─→ bag(T)]. ∀[F:es:EO+(Info) ─→ e':E ─→ T ─→ {e:E| (e' <loc e)} ─→ bag(T)].
(RecClass(first e
G[es;e]
or next e after e' with value v
F[es;e';v;e]) ∈ EClass(T))
Proof
Definitions occuring in Statement :
es-rec-class: es-rec-class,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2;s3;s4],
so_apply: x[s1;s2],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
top_wf,
es-causl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_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,
equal_wf,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
event-ordering+_wf,
es-E_wf,
event-ordering+_subtype,
es-locl_wf,
bag_wf,
es-local-pred_wf2,
eq_int_wf,
es-causl_weakening,
bag-size_wf,
bag_size_single_lemma,
bag_only_single_lemma,
bag_size_empty_lemma,
or_wf,
sq_exists_wf,
assert_wf,
all_wf,
not_wf,
assert_of_eq_int,
bag-only_wf2,
single-valued-bag-if-le1,
le_antisymmetry_iff
Latex:
\mforall{}[Info,T:Type]. \mforall{}[G:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} bag(T)]. \mforall{}[F:es:EO+(Info)
{}\mrightarrow{} e':E
{}\mrightarrow{} T
{}\mrightarrow{} \{e:E| (e' <loc e)\}
{}\mrightarrow{} bag(T)].
(RecClass(first e
G[es;e]
or next e after e' with value v
F[es;e';v;e]) \mmember{} EClass(T))
Date html generated:
2015_07_21-PM-03_17_19
Last ObjectModification:
2015_01_27-PM-07_23_41
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