Nuprl Lemma : eo-forward-E-subtype
[Info:Type]. [eo:EO+(Info)]. [e:E]. (E 
r E)
Proof not projected
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
subtype_rel: A r B,
uall: [x:A]. B[x],
universe: Type
Definitions :
implies: P 
Q,
all: x:A. B[x],
btrue: tt,
bfalse: ff,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
band: p 
q,
eo-restrict: eo-restrict(eo;P),
member: t 
T,
eo-forward: eo.e,
es-E: E,
uall: [x:A]. B[x],
false: False,
assert: 
b,
es-base-E: es-base-E(es),
and: P Q,
uiff: uiff(P;Q),
uimplies: b supposing a,
unit: Unit,
prop: 
,
bool: 
,
it: 
,
subtype: S T,
es-dom: es-dom(es)
Lemmas :
event-ordering+_wf,
es-E_wf,
bfalse_wf,
assert_of_bnot,
eqff_to_assert,
not_wf,
equal_wf,
uiff_transitivity,
es-loc_wf,
eq_id_wf,
bnot_wf,
es-ble_wf,
bor_wf,
eqtt_to_assert,
bool_wf,
es-base-E_wf,
event-ordering+_inc,
es-dom_wf,
assert_wf,
false_wf
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E]. (E \msubseteq{}r E)
Date html generated:
2012_01_23-PM-12_15_19
Last ObjectModification:
2011_12_13-PM-12_40_52
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