{ 
[A1,B1,A2,B2:Type].
(dataflow(A1;B1) 
r dataflow(A2;B2)) supposing ((B1 r B2) and (A2 r A1)) }
{ Proof }
Definitions occuring in Statement :
dataflow: dataflow(A;B),
subtype_rel: A r B,
uimplies: b supposing a,
uall: [x:A]. B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
dataflow: dataflow(A;B),
member: t 
T,
all: x:A. B[x],
implies: P 
Q,
so_lambda: 
x.t[x],
so_apply: x[s]
Lemmas :
corec-subtype-corec2,
subtype_rel_function,
subtype_rel_simple_product
\mforall{}[A1,B1,A2,B2:Type]. (dataflow(A1;B1) \msubseteq{}r dataflow(A2;B2)) supposing ((B1 \msubseteq{}r B2) and (A2 \msubseteq{}r A1))
Date html generated:
2011_08_10-AM-08_13_39
Last ObjectModification:
2011_06_18-AM-08_29_24
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