Nuprl Lemma : es-local-relation_wf
∀[Info:Type]. ∀[R:Id ─→ Id ─→ Info List+ ─→ Info List+ ─→ ℙ]. ∀[es:EO+(Info)]. ∀[e1,e2:E].
(es-local-relation(i,j,L1,L2.R[i;j;L1;L2];es;e1;e2) ∈ ℙ)
Proof
Definitions occuring in Statement :
es-local-relation: es-local-relation(i,j,L1,L2.R[i; j; L1; L2];es;e1;e2),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
listp: A List+,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2;s3;s4],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-loc_wf,
map_wf_listp,
Id_wf,
es-info_wf,
assert_of_lt_int,
length_wf,
append_wf,
es-before_wf,
cons_wf,
nil_wf,
length_nil,
non_neg_length,
length_wf_nil,
length_wf_nat,
length_cons,
length_append,
subtype_rel_list,
top_wf,
assert_wf,
lt_int_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
listp_wf
\mforall{}[Info:Type]. \mforall{}[R:Id {}\mrightarrow{} Id {}\mrightarrow{} Info List\msupplus{} {}\mrightarrow{} Info List\msupplus{} {}\mrightarrow{} \mBbbP{}]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2:E].
(es-local-relation(i,j,L1,L2.R[i;j;L1;L2];es;e1;e2) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-PM-00_12_04
Last ObjectModification:
2015_01_28-AM-00_11_07
Home
Index