{ 
[Info:Type]
es:EO+(Info). X:EClass(Top). f:sys-antecedent(es;X). b,a:E(X).
a c
b supposing a (X;f) b }
{ Proof }
Definitions occuring in Statement :
cut-order: a (X;f) b,
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-causle: e c e',
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
universe: Type
Definitions :
minus: -n,
infix_ap: x f y,
subtract: n - m,
atom: Atom,
es-base-E: es-base-E(es),
token: "$token",
record-select: r.x,
grp_car: |g|,
strong-subtype: strong-subtype(A;B),
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
dep-isect: Error :dep-isect,
record+: record+,
ge: i 
j ,
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
natural_number: $n,
apply: f a,
not: 
A,
le: A B,
set: {x:A| B[x]} ,
real: 
,
rationals: 
,
int: 
,
add: n + m,
nat: 
,
less_than: a < b,
guard: {T},
product: x:A 
B[x],
exists: 
x:A. B[x],
strongwellfounded: SWellFounded(R[x; y]),
es-causl: (e < e'),
implies: P 
Q,
void: Void,
false: False,
true: True,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
assert: 
b,
fset-member: a 
s,
prop: 
,
subtype: S T,
top: Top,
es-E: E,
lambda: 
x.A[x],
equal: s = t,
member: t T,
union: left + right,
or: P 
Q,
so_lambda: 
x.t[x],
cut-order: a (X;f) b,
es-E-interface: E(X),
sys-antecedent: sys-antecedent(es;Sys),
eclass: EClass(A[eo; e]),
so_lambda: x y.t[x; y],
universe: Type,
uall: [x:A]. B[x],
all: x:A. B[x],
function: x:A 
B[x],
uimplies: b supposing a,
isect: 
x:A. B[x],
es-causle: e c e',
event_ordering: EO,
event-ordering+: EO+(Info),
in-eclass: e 
X,
es-prior-interface: prior(X),
Id: Id,
es-init: es-init(es;e),
es-pred: pred(e),
es-fix: f**(e),
eclass-val: X(e),
es-le: e loc e' ,
es-locl: (e <loc e'),
es-p-le: e p e',
es-p-locl: e p< e',
causal-predecessor: causal-predecessor(es;p),
record: record(x.T[x]),
cand: A c B,
rev_implies: P 
Q,
iff: P Q,
fpf: a:A fp-> B[a]
Lemmas :
eclass-val_wf,
eclass-val_wf2,
es-prior-interface_wf,
es-prior-interface-causl,
es-causl_transitivity1,
es-causle_weakening,
assert_wf,
subtype_rel_wf,
es-E-interface-subtype_rel,
es-locl_wf,
es-le_wf,
Id_wf,
es-causle-le,
es-le-causle,
es-causle_weakening_eq,
cut-order-iff1,
ge_wf,
nat_properties,
es-causle_wf,
nat_wf,
es-E-interface_wf,
guard_wf,
cut-order_wf,
es-causl-swellfnd,
es-E_wf,
es-causl_wf,
cut-order_witness,
sys-antecedent_wf,
event-ordering+_inc,
top_wf,
event-ordering+_wf,
eclass_wf,
uall_wf,
nat_ind_tp,
le_wf,
not_wf,
false_wf,
member_wf,
es-base-E_wf,
subtype_rel_self
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:sys-antecedent(es;X). \mforall{}b,a:E(X). a c\mleq{} b supposing a \mleq{}(X;f) b
Date html generated:
2011_08_16-PM-05_54_57
Last ObjectModification:
2011_06_20-AM-01_38_28
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