{ 
[Info:Type]. [es:EO+(Info)]. [Qa,Rb:E 
E 
]. [A,B:Type].
[Ia:EClass(A)]. [Ib:EClass(B)]. [f:E(Ia) B]. [g:E(Ib) E].
(g glues Ia:Qa f Ib:Rb 
) }
{ Proof }
Definitions occuring in Statement :
Q-R-glues: g glues Ia:Qa f Ib:Rb,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
prop: ,
member: t T,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
prop: ,
member: t T,
Q-R-glues: g glues Ia:Qa f Ib:Rb,
and: P 
Q,
all: x:A. B[x],
cand: A c B,
assert: 
b,
so_lambda: 
x y.t[x; y],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
es-E-interface: E(X),
so_apply: x[s1;s2],
uimplies: b supposing a,
sq_type: SQType(T),
implies: P 
Q,
guard: {T},
weak-antecedent-surjection: Q 
= f== P,
es-interface-predicate: {I},
weak-antecedent-function: Q ==f== P,
subtype: S 
T
Lemmas :
weak-antecedent-surjection_wf,
event-ordering+_inc,
es-interface-predicate_wf,
Q-R-pre-preserving_wf,
inject_wf,
es-E-interface_wf,
es-E_wf,
eclass-val_wf,
event-ordering+_wf,
subtype_base_sq,
bool_subtype_base,
es-interface-top,
eclass_wf,
assert_elim,
in-eclass_wf,
assert_wf,
bool_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[Qa,Rb:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[A,B:Type]. \mforall{}[Ia:EClass(A)]. \mforall{}[Ib:EClass(B)].
\mforall{}[f:E(Ia) {}\mrightarrow{} B]. \mforall{}[g:E(Ib) {}\mrightarrow{} E].
(g glues Ia:Qa {}{}f{}\mrightarrow{} Ib:Rb \mmember{} \mBbbP{})
Date html generated:
2011_08_16-PM-05_57_10
Last ObjectModification:
2011_06_20-AM-01_39_59
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