{ 
[Info:Type]
es:EO+(Info)
[A,B:Type].
Ia:EClass(A). f:A 
B.
[Q:E(Ia) E(Ia) 
]. 
e.e glues Ia:Q e.(f Ia(e)) f'Ia:Q }
{ Proof }
Definitions occuring in Statement :
Q-R-glues: g glues Ia:Qa f Ib:Rb,
es-E-interface: E(X),
es-interface-image: f'Ia,
eclass-val: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
prop: ,
all: x:A. B[x],
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],
prop: ,
Q-R-glues: g glues Ia:Qa f Ib:Rb,
and: P 
Q,
inject: Inj(A;B;f),
member: t 
T,
implies: P 
Q,
subtype: S 
T,
top: Top,
suptype: suptype(S; T),
so_lambda: 
x y.t[x; y],
weak-antecedent-surjection: Q 
= f== P,
es-interface-predicate: {I},
weak-antecedent-function: Q ==f== P,
false: False,
exists: 
x:A. B[x],
Q-R-pre-preserving: f is Q-R-pre-preserving on P,
es-E-interface: E(X),
assert: 
b,
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
so_apply: x[s1;s2],
uimplies: b supposing a,
decidable: Dec(P),
or: P 
Q,
not: 
A,
sq_type: SQType(T),
guard: {T}
Lemmas :
es-E_wf,
event-ordering+_inc,
es-E-interface_wf,
es-interface-image_wf,
top_wf,
es-interface-top,
eclass_wf,
event-ordering+_wf,
assert_witness,
in-eclass_wf,
assert_wf,
es-causle_weakening_eq,
es-causle_wf,
decidable__assert,
es-is-interface-image,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_elim,
es-interface-image-val,
eclass-val_wf
\mforall{}[Info:Type]
\mforall{}es:EO+(Info)
\mforall{}[A,B:Type].
\mforall{}Ia:EClass(A). \mforall{}f:A {}\mrightarrow{} B. \mforall{}[Q:E(Ia) {}\mrightarrow{} E(Ia) {}\mrightarrow{} \mBbbP{}]. \mlambda{}e.e glues Ia:Q {}{}\mlambda{}e.(f Ia(e)){}\mrightarrow{} f'Ia:Q
Date html generated:
2011_08_16-PM-05_57_45
Last ObjectModification:
2011_06_20-AM-01_40_34
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