Nuprl Lemma : es-le-before-partition
∀[es:EO]. ∀[e,a:E]. ≤loc(e) = (before(a) @ [a, e]) ∈ (E List) supposing a ≤loc e
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le-before: ≤loc(e),
es-before: before(e),
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
append: as @ bs,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Lemmas :
all_wf,
es-E_wf,
es-le_wf,
list_wf,
append_wf,
es-before_wf,
cons_wf,
nil_wf,
es-interval_wf,
es-locl_wf,
event_ordering_wf,
es-locl-wellfnd,
es-pred_wf,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
assert_wf,
es-first_wf2,
es-pred-locl,
es-le-pred,
es-le-self,
es-interval-eq,
length_wf_nat,
equal_wf,
nat_wf,
append_assoc,
squash_wf,
true_wf,
es-interval-partition,
bool_wf,
equal-wf-T-base,
bnot_wf,
not_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[es:EO]. \mforall{}[e,a:E]. \mleq{}loc(e) = (before(a) @ [a, e]) supposing a \mleq{}loc e
Date html generated:
2015_07_17-AM-08_42_56
Last ObjectModification:
2015_01_27-PM-02_39_21
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