{ 
[Info,A,B,C,D:Type]. [f:bag(A) 
bag(B) bag(C) bag(D)].
[X:EClass(A)]. [Y:EClass(B)]. [Z:EClass(C)].
(eclass-compose3(f;X;Y;Z) 
EClass(D)) }
{ Proof }
Definitions occuring in Statement :
eclass-compose3: eclass-compose3(f;X;Y;Z),
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
apply: f a,
lambda: 
x.A[x],
subtype: S 
T,
all: x:A. B[x],
axiom: Ax,
eclass-compose3: eclass-compose3(f;X;Y;Z),
event-ordering+: EO+(Info),
event_ordering: EO,
es-E: E,
bag: bag(T),
function: x:A B[x],
eclass: EClass(A[eo; e]),
equal: s = t,
uall: [x:A]. B[x],
universe: Type,
isect: 
x:A. B[x],
member: t T,
Unfold: Error :Unfold,
CollapseTHEN: Error :CollapseTHEN
Lemmas :
event-ordering+_wf,
es-E_wf,
bag_wf,
event-ordering+_inc
\mforall{}[Info,A,B,C,D:Type]. \mforall{}[f:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
\mforall{}[Z:EClass(C)].
(eclass-compose3(f;X;Y;Z) \mmember{} EClass(D))
Date html generated:
2011_08_16-AM-11_32_24
Last ObjectModification:
2011_01_20-PM-02_05_04
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