{ 
[Info:Type]
es:EO+(Info). X:EClass(Top). f:E(X) 
E(X).
((x:E(X). f x c
x)
global-order-preserving(es;X;f)
interface-order-preserving(es;X;
e.f**(e))) }
{ Proof }
Definitions occuring in Statement :
global-order-preserving: global-order-preserving(es;X;f),
interface-order-preserving: interface-order-preserving(es;X;f),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-fix: f**(e),
es-causle: e c e',
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
implies: P Q,
apply: f a,
lambda: x.A[x],
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
interface-order-preserving: interface-order-preserving(es;X;f),
member: t 
T,
prop: 
,
so_lambda: 
x y.t[x; y],
es-E-interface: E(X),
global-order-preserving: global-order-preserving(es;X;f),
so_apply: x[s1;s2],
uimplies: b supposing a,
and: P 
Q,
subtype: S 
T
Lemmas :
global-order-preserving_wf,
es-E-interface_wf,
es-causle_wf,
es-E-interface-subtype_rel,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
es-fix_wf2,
es-fix_property,
Id_wf,
es-loc_wf,
event-ordering+_inc
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:E(X) {}\mrightarrow{} E(X).
((\mforall{}x:E(X). f x c\mleq{} x)
{}\mRightarrow{} global-order-preserving(es;X;f)
{}\mRightarrow{} interface-order-preserving(es;X;\mlambda{}e.f**(e)))
Date html generated:
2011_08_16-PM-04_06_14
Last ObjectModification:
2011_06_20-AM-00_40_34
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