Nuprl Lemma : es-init-eq
[es:EO]. [e,e':E]. es-init(es;e) = es-init(es;e') supposing loc(e) = loc(e')
Proof not projected
Definitions occuring in Statement :
es-init: es-init(es;e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uimplies: b supposing a,
uall: [x:A]. B[x],
equal: s = t
Definitions :
member: t 
T,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
so_lambda: 
x.t[x],
implies: P 
Q,
prop: 
,
and: P 
Q,
ifthenelse: if b then t else f fi ,
bfalse: ff,
assert: 
b,
not: 
A,
guard: {T},
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
or: P 
Q,
so_apply: x[s],
false: False,
sq_type: SQType(T)
Lemmas :
event_ordering_wf,
es-E_wf,
es-loc_wf,
Id_wf,
equal_wf,
es-locl-wellfnd,
es-locl_wf,
es-locl-total,
es-init_wf,
all_wf,
and_wf,
es-loc-pred,
es-locl-first,
es-pred-locl,
es-pred_wf,
false_wf,
bool_subtype_base,
bool_wf,
subtype_base_sq,
es-init-elim2
\mforall{}[es:EO]. \mforall{}[e,e':E]. es-init(es;e) = es-init(es;e') supposing loc(e) = loc(e')
Date html generated:
2012_01_23-PM-12_11_42
Last ObjectModification:
2011_12_13-AM-10_31_01
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