{ 
[Info:Type]. [es:EO+(Info)]. [T:Type]. [X:EClass(T)]. [e:E]. [e':E(X)].
((X)'(e) = X(e')) supposing ((
(e' <loc prior(X)(e))) and (e' <loc e)) }
{ Proof }
Definitions occuring in Statement :
es-prior-val: (X)',
es-prior-interface: prior(X),
es-E-interface: E(X),
eclass-val: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
not: A,
universe: Type,
equal: s = t
Definitions :
void: Void,
axiom: Ax,
es-prior-val: (X)',
cand: A c
B,
guard: {T},
btrue: tt,
sq_type: SQType(T),
es-interface-at: X@i,
es-local-pred: last(P),
bool: 
,
rev_implies: P 
Q,
exists: 
x:A. B[x],
implies: P 
Q,
iff: P Q,
fpf-cap: f(x)?z,
true: True,
in-eclass: e 
X,
es-loc: loc(e),
intensional-universe: IType,
false: False,
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
less_than: a < b,
uiff: uiff(P;Q),
fpf: a:A fp-> B[a],
decide: case b of inl(x) => s[x] | inr(y) => t[y],
es-prior-interface: prior(X),
eclass-val: X(e),
infix_ap: x f y,
pair: <a, b>,
Id: Id,
es-causl: (e < e'),
product: x:A 
B[x],
and: P Q,
not: A,
set: {x:A| B[x]} ,
assert: 
b,
prop: 
,
es-locl: (e <loc e'),
uimplies: b supposing a,
es-E-interface: E(X),
union: left + right,
subtype: S 
T,
subtype_rel: A r B,
atom: Atom,
apply: f a,
top: Top,
token: "$token",
ifthenelse: if b then t else f fi ,
record-select: r.x,
event_ordering: EO,
es-E: E,
lambda: 
x.A[x],
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
all: x:A. B[x],
function: x:A 
B[x],
isect: 
x:A. B[x],
uall: [x:A]. B[x],
universe: Type,
member: t T,
event-ordering+: EO+(Info),
equal: s = t,
tactic: Error :tactic,
or: P 
Q,
null: null(as),
es-le: e loc e' ,
isl: isl(x),
can-apply: can-apply(f;x)
Lemmas :
es-locl_transitivity2,
es-le-prior-interface-val,
prior-val-is,
es-E_wf,
member_wf,
es-locl_wf,
not_wf,
false_wf,
subtype_rel_self,
event-ordering+_inc,
es-interface-top,
eclass_wf,
es-E-interface_wf,
event-ordering+_wf,
intensional-universe_wf,
subtype_rel_wf,
Id_wf,
es-loc_wf,
es-causl_wf,
es-prior-interface_wf,
eclass-val_wf,
eclass-val_wf2,
assert_wf,
ifthenelse_wf,
in-eclass_wf,
true_wf,
is-prior-interface,
bool_wf,
subtype_base_sq,
bool_subtype_base,
assert_elim,
es-prior-val_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[e:E]. \mforall{}[e':E(X)].
((X)'(e) = X(e')) supposing ((\mneg{}(e' <loc prior(X)(e))) and (e' <loc e))
Date html generated:
2011_08_16-PM-05_07_08
Last ObjectModification:
2011_06_20-AM-01_11_03
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