{ 
[Info:Type]
es:EO+(Info). X:EClass(Top). f:E(X) 
E(X).
((x:E(X). f x c
x) 
(e,e':E(X). (e' is f*(e) e' c e))) }
{ Proof }
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-causle: e c e',
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
implies: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
fun-connected: y is f*(x)
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
member: t 
T,
prop: 
,
so_lambda: 
x y.t[x; y],
trans: Trans(T;x,y.E[x; y]),
refl: Refl(T;x,y.E[x; y]),
es-E-interface: E(X),
so_apply: x[s1;s2],
uimplies: b supposing a,
subtype: S 
T,
guard: {T}
Lemmas :
fun-connected_wf,
es-E-interface_wf,
es-causle_wf,
es-E-interface-subtype_rel,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
fun-connected-relation,
event-ordering+_inc,
es-causle_transitivity,
es-causle_weakening_eq
\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{} (\mforall{}e,e':E(X). (e' is f*(e) {}\mRightarrow{} e' c\mleq{} e)))
Date html generated:
2011_08_16-PM-04_05_46
Last ObjectModification:
2011_06_20-AM-00_40_07
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