Nuprl Lemma : ses-thread-weak-order
∀s:SES. ∀es:EO+(Info). ∀thr:Thread. ∀i,j:ℕ||thr||. thr[i] ≤loc thr[j] supposing i ≤ j
Proof
Definitions occuring in Statement :
ses-thread: Thread,
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
select: L[n],
length: ||as||,
int_seg: {i..j-},
uimplies: b supposing a,
le: A ≤ B,
all: ∀x:A. B[x],
natural_number: $n
Lemmas :
ses-thread-order,
less_than_wf,
decidable__lt,
es-le_weakening,
event-ordering+_subtype,
ses-info_wf,
select_wf,
ses-act_wf,
sq_stable__le,
le_wf,
int_seg_wf,
length_wf,
ses-thread_wf,
event-ordering+_wf,
security-event-structure_wf,
es-le-self,
add-associates,
le-add-cancel,
add-commutes,
add-swap,
add_functionality_wrt_le,
not-equal-2,
false_wf,
decidable__equal_int,
int_subtype_base,
subtype_base_sq,
int_seg_properties
Latex:
\mforall{}s:SES. \mforall{}es:EO+(Info). \mforall{}thr:Thread. \mforall{}i,j:\mBbbN{}||thr||. thr[i] \mleq{}loc thr[j] supposing i \mleq{} j
Date html generated:
2015_07_23-PM-00_09_52
Last ObjectModification:
2015_07_16-AM-09_37_33
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