{ 
[M:Type 
Type]
[n,m:
]. lvprocess(lp.M[lp];m) 
r lvprocess(lp.M[lp];n) supposing m 
n
supposing A,B:Type. ((A r B) 
(M[A] r M[B])) }
{ Proof }
Definitions occuring in Statement :
lvprocess: lvprocess(lp.M[lp];n),
subtype_rel: A r B,
nat: ,
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
le: A B,
all: x:A. B[x],
implies: P Q,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
implies: P Q,
so_apply: x[s],
nat: ,
le: A B,
member: t 
T,
ge: i 
j ,
not: 
A,
false: False,
prop: 
,
so_lambda: 
x.t[x],
decidable: Dec(P),
or: P 
Q,
sq_type: SQType(T),
guard: {T}
Lemmas :
nat_properties,
ge_wf,
nat_wf,
decidable__lt,
le_wf,
process-cumulative1,
subtype_base_sq,
set_subtype_base,
int_subtype_base,
subtype_rel_transitivity,
lvprocess_wf,
subtype_rel_self
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[n,m:\mBbbN{}]. lvprocess(lp.M[lp];m) \msubseteq{}r lvprocess(lp.M[lp];n) supposing m \mleq{} n
supposing \mforall{}A,B:Type. ((A \msubseteq{}r B) {}\mRightarrow{} (M[A] \msubseteq{}r M[B]))
Date html generated:
2011_08_17-PM-06_37_40
Last ObjectModification:
2011_06_18-PM-12_01_36
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