{ 
[Info:Type]
es:EO+(Info). X:EClass(Top). u:E(X). v:E(X) List.
e:E(X). ((e 
[u / v]) 
(e':E(X). ((e' [u / v]) 
(
(e < e'))))) }
{ Proof }
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-causl: (e < e'),
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
exists: x:A. B[x],
not: A,
implies: P Q,
and: P Q,
cons: [car / cdr],
list: type List,
universe: Type,
l_member: (x l)
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
member: t T,
so_lambda: 
x y.t[x; y],
exists: x:A. B[x],
and: P Q,
implies: P Q,
not: A,
cand: A c B,
or: P 
Q,
prop: 
,
label: ...$L... t,
top: Top,
select: l[i],
int_seg: {i..j
},
length: ||as||,
ycomb: Y,
lelt: i 
j < k,
le: A B,
false: False,
subtype: S 
T,
ifthenelse: if b then t else f fi ,
le_int: i z j,
bnot: 
b,
lt_int: i <z j,
btrue: tt,
bfalse: ff,
iff: P 
Q,
rev_implies: P Q,
guard: {T},
so_apply: x[s1;s2],
es-E-interface: E(X),
uimplies: b supposing a,
decidable: Dec(P)
Lemmas :
es-E-interface_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
cons_member,
l_member_wf,
member_singleton,
es-causl_transitivity2,
event-ordering+_inc,
es-causle_weakening_eq,
es-causl_irreflexivity,
es-causl_wf,
not_wf,
es-causle_wf,
decidable__es-causl,
select_member,
length_wf1,
non_neg_length,
length_wf_nat,
le_wf,
decidable__l_member,
decidable__equal_es-E-interface,
es-causle_weakening,
not_functionality_wrt_iff,
iff_transitivity,
or_functionality_wrt_iff
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}u:E(X). \mforall{}v:E(X) List.
\mexists{}e:E(X). ((e \mmember{} [u / v]) \mwedge{} (\mforall{}e':E(X). ((e' \mmember{} [u / v]) {}\mRightarrow{} (\mneg{}(e < e')))))
Date html generated:
2011_08_16-PM-05_45_38
Last ObjectModification:
2011_06_20-AM-01_32_58
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