Nuprl Lemma : null-es-hist
∀[Info:Type]. ∀es:EO+(Info). ∀e1,e2:E. ↑null(es-hist(es;e1;e2)) ⇐⇒ (e2 <loc e1) supposing loc(e2) = loc(e1) ∈ Id
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
Id: Id,
null: null(as),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
decidable__es-locl,
assert_wf,
null_wf3,
es-hist_wf,
subtype_rel_list,
top_wf,
assert_witness,
es-locl_wf,
event-ordering+_subtype,
equal_wf,
Id_wf,
es-loc_wf,
es-E_wf,
event-ordering+_wf,
es-interval-is-nil,
map_nil_lemma,
null_nil_lemma,
true_wf,
null-map,
es-interval_wf,
assert_of_null,
es-interval-nil
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}e1,e2:E. \muparrow{}null(es-hist(es;e1;e2)) \mLeftarrow{}{}\mRightarrow{} (e2 <loc e1) supposing loc(e2) = loc(e1)
Date html generated:
2015_07_17-PM-00_09_49
Last ObjectModification:
2015_01_28-AM-00_09_11
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