{ 
[Info:Type]
es:EO+(Info)
[A,B,C:Type].
Ia:EClass(A). Ib:EClass(B). Ic:EClass(C). f1:E(Ia) 
B. f2:B C.
((glued(es;B;f1;Ia;Ib) 
glued(es;C;
e.(f2 Ib(e));Ib;Ic))
glued(es;C;f2 o f1;Ia;Ic)) }
{ Proof }
Definitions occuring in Statement :
glued: glued(es;B;f;Ia;Ib),
es-E-interface: E(X),
eclass-val: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
compose: f o g,
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
and: 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,
and: P Q,
glued: glued(es;B;f;Ia;Ib),
cand: A c B,
member: t 
T,
prop: 
,
assert: 
b,
so_lambda: 
x y.t[x; y],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
exists: 
x:A. B[x],
es-E-interface: E(X),
so_apply: x[s1;s2],
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
subtype: S 
T
Lemmas :
glued_wf,
eclass-val_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-E-interface_wf,
eclass_wf,
assert_elim,
in-eclass_wf,
glues-property,
es-interface-top,
compose_wf,
glues_wf,
glue-composes
\mforall{}[Info:Type]
\mforall{}es:EO+(Info)
\mforall{}[A,B,C:Type].
\mforall{}Ia:EClass(A). \mforall{}Ib:EClass(B). \mforall{}Ic:EClass(C). \mforall{}f1:E(Ia) {}\mrightarrow{} B. \mforall{}f2:B {}\mrightarrow{} C.
((glued(es;B;f1;Ia;Ib) \mwedge{} glued(es;C;\mlambda{}e.(f2 Ib(e));Ib;Ic)) {}\mRightarrow{} glued(es;C;f2 o f1;Ia;Ic))
Date html generated:
2011_08_16-PM-06_01_35
Last ObjectModification:
2011_06_20-AM-01_44_54
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