Nuprl Lemma : es-closed-open-interval-decomp-last
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e1,e2:E]. [e1;e2) = ([e1;pred(e2)) @ [pred(e2)]) ∈ (E List) supposing (e1 <loc e2)
Proof
Definitions occuring in Statement :
event-ordering+: EO+(Info),
es-closed-open-interval: [e;e'),
es-locl: (e <loc e'),
es-pred: pred(e),
es-E: E,
append: as @ bs,
cons: [a / b],
nil: [],
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
list_wf,
es-closed-open-interval-eq-before,
es-le_weakening,
append_wf,
es-closed-open-interval_wf,
es-pred_wf,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
assert_wf,
es-first_wf2,
cons_wf,
nil_wf,
iff_weakening_equal,
es-before-split-last,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eo-forward-not-first,
bfalse_wf,
es-locl_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
eo-forward-pred,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
eo-forward_wf,
es-le-pred,
squash_wf,
true_wf,
es-before_wf,
subtype_rel_list,
eo-forward-E-subtype,
es-le_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2:E].
[e1;e2) = ([e1;pred(e2)) @ [pred(e2)]) supposing (e1 <loc e2)
Date html generated:
2015_07_17-PM-00_06_12
Last ObjectModification:
2015_02_04-PM-05_39_06
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