Nuprl Lemma : ses-thread-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-locl: (e <loc e'),
select: L[n],
length: ||as||,
int_seg: {i..j-},
less_than: a < b,
uimplies: b supposing a,
all: ∀x:A. B[x],
natural_number: $n
Lemmas :
ses-thread_wf,
event-ordering+_wf,
ses-info_wf,
security-event-structure_wf,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
le_wf,
subtract_wf,
int_seg_wf,
length_wf,
ses-act_wf,
decidable__le,
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,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
lelt_wf,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
nat_wf,
es-le_weakening,
le_weakening2,
less_than_transitivity2,
select_wf,
event-ordering+_subtype,
es-locl_transitivity2,
le-add-cancel2,
int_subtype_base,
subtype_base_sq
Latex:
\mforall{}s:SES. \mforall{}es:EO+(Info). \mforall{}thr:Thread. \mforall{}i,j:\mBbbN{}||thr||. (thr[i] <loc thr[j]) supposing i < j
Date html generated:
2015_07_23-PM-00_09_46
Last ObjectModification:
2015_07_16-AM-09_37_29
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