Nuprl Lemma : eo-forward-first
[Info:Type]. [eo:EO+(Info)]. [e:E]. [e':E].
(first(e') ~ if loc(e') = loc(e) then es-eq(eo) e' e else first(e') fi )
Proof not projected
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-first: first(e),
es-loc: loc(e),
es-eq: es-eq(es),
es-E: E,
eq_id: a = b,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
apply: f a,
universe: Type,
sqequal: s ~ t
Definitions :
member: t 
T,
uall: [x:A]. B[x],
es-first: first(e),
guard: {T},
bfalse: ff,
btrue: tt,
exposed-bfalse: exposed-bfalse,
implies: P 
Q,
all: x:A. B[x],
isl: isl(x),
bnot: 
b,
ifthenelse: if b then t else f fi ,
and: P 
Q,
top: Top,
or: P 
Q,
not: A,
uimplies: b supposing a,
sq_type: SQType(T),
uiff: uiff(P;Q),
bool: 
,
unit: Unit,
false: False,
prop: 
,
decidable: Dec(P),
cand: A c B,
rev_uimplies: rev_uimplies(P;Q),
subtype: S 
T,
it: 
Lemmas :
event-ordering+_wf,
event-ordering+_inc,
eo-forward_wf,
es-E_wf,
bool_subtype_base,
bool_wf,
subtype_base_sq,
eo-forward-pred?,
unit_wf2,
isl_wf,
bnot_wf,
eo-forward-E-subtype,
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
not_wf,
es-eq_wf,
assert-deq,
eqtt_to_assert,
assert_wf,
equal_wf,
uiff_transitivity,
btrue_wf,
assert-eq-id,
Id_wf,
es-loc_wf,
eq_id_wf,
and_wf,
eo-forward-loc,
es-first_wf,
es-le_wf,
decidable__es-le,
eo-forward-E-member,
ifthenelse_wf,
es-le-first,
assert_elim
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E]. \mforall{}[e':E].
(first(e') \msim{} if loc(e') = loc(e) then es-eq(eo) e' e else first(e') fi )
Date html generated:
2012_01_23-PM-12_15_40
Last ObjectModification:
2011_12_13-PM-12_33_44
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