{ 
[Info:Type]. [es:EO+(Info)]. [A,B:Type]. [Ia1,Ia2:EClass(A)].
[Ib1,Ib2:EClass(B)]. [g1:E(Ib1) 
E(Ia1)]. [g2:E(Ib2) E(Ia2)].
([{Ib1}? g1 : g2] 
E([Ib1?Ib2]) E) }
{ Proof }
Definitions occuring in Statement :
es-E-interface: E(X),
es-interface-predicate: {I},
cond-class: [X?Y],
in-eclass: e 
X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
conditional: [P? f : g],
es-E: E,
uall: [x:A]. B[x],
member: t T,
lambda: 
x.A[x],
function: x:A B[x],
universe: Type,
bool-decider: bool-decider(b)
Definitions :
es-E-interface: E(X),
member: t T,
prop: 
,
so_lambda: 
x y.t[x; y],
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
conditional_wf-interface,
subtype_rel_function,
es-E-interface_wf,
cond-class_wf,
es-interface-top,
es-E_wf,
event-ordering+_inc,
subtype_rel_self,
assert_wf,
in-eclass_wf,
top_wf,
eclass_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[Ia1,Ia2:EClass(A)]. \mforall{}[Ib1,Ib2:EClass(B)].
\mforall{}[g1:E(Ib1) {}\mrightarrow{} E(Ia1)]. \mforall{}[g2:E(Ib2) {}\mrightarrow{} E(Ia2)].
([\{Ib1\}? g1 : g2] \mmember{} E([Ib1?Ib2]) {}\mrightarrow{} E)
Date html generated:
2011_08_16-PM-05_57_01
Last ObjectModification:
2011_06_20-AM-01_39_50
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