{ 
[M:Type 
Type]
EquivRel(System(P.M[P]);S1,S2.system-equiv(P.M[P];S1;S2))
supposing Continuous+(P.M[P]) }
{ Proof }
Definitions occuring in Statement :
system-equiv: system-equiv(T.M[T];S1;S2),
System: System(P.M[P]),
strong-type-continuous: Continuous+(T.F[T]),
equiv_rel: EquivRel(T;x,y.E[x; y]),
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
strong-type-continuous: Continuous+(T.F[T]),
so_apply: x[s],
equiv_rel: EquivRel(T;x,y.E[x; y]),
system-equiv: system-equiv(T.M[T];S1;S2),
member: t 
T,
ext-eq: A 
B,
and: P 
Q,
process-equiv: process-equiv,
refl: Refl(T;x,y.E[x; y]),
sym: Sym(T;x,y.E[x; y]),
trans: Trans(T;x,y.E[x; y]),
all: x:A. B[x],
int_seg: {i..j
},
so_lambda: 
x.t[x],
implies: P 
Q,
lelt: i 
j < k,
le: A B,
prop: 
,
not: 
A,
false: False,
System: System(P.M[P]),
component: component(P.M[P])
Lemmas :
nat_wf,
process-equiv-is-equiv,
length_wf1,
component_wf,
int_seg_properties,
select_wf,
pMsg_wf,
int_seg_wf,
System_wf,
Process_wf,
process-equiv_wf,
le_wf,
Id_wf,
system-equiv_wf,
strong-type-continuous_wf
\mforall{}[M:Type {}\mrightarrow{} Type]
EquivRel(System(P.M[P]);S1,S2.system-equiv(P.M[P];S1;S2)) supposing Continuous+(P.M[P])
Date html generated:
2011_08_16-PM-06_51_47
Last ObjectModification:
2011_06_18-AM-11_06_30
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