Nuprl Lemma : global-eo-locl
∀[L:(Id × Top) List]. ∀[a,b:E]. ((a <loc b) ⇐⇒ (loc(a) = loc(b) ∈ Id) ∧ a < b)
Proof
Definitions occuring in Statement :
global-eo: global-eo(L),
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
Id: Id,
list: T List,
less_than: a < b,
uall: ∀[x:A]. B[x],
top: Top,
iff: P ⇐⇒ Q,
and: P ∧ Q,
product: x:A × B[x],
equal: s = t ∈ T
Lemmas :
rec_select_update_lemma,
Id_wf,
select_wf,
top_wf,
sq_stable__le,
squash_wf,
less_than_wf,
member-less_than,
set_wf,
int_seg_wf,
length_wf,
true_wf,
list_wf
Latex:
\mforall{}[L:(Id \mtimes{} Top) List]. \mforall{}[a,b:E]. ((a <loc b) \mLeftarrow{}{}\mRightarrow{} (loc(a) = loc(b)) \mwedge{} a < b)
Date html generated:
2015_07_21-PM-04_34_54
Last ObjectModification:
2015_01_27-PM-05_08_10
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