{ 
[A:Type]. [d1,d2:EqDecider(A)]. [f:a:A fp-> Type]. [x:A]. [z:Type].
(f(x)?z 
r f(x)?z) }
{ Proof }
Definitions occuring in Statement :
fpf-cap: f(x)?z,
fpf: a:A fp-> B[a],
subtype_rel: A r B,
uall: [x:A]. B[x],
universe: Type,
deq: EqDecider(T)
Definitions :
uall: [x:A]. B[x],
member: t 
T,
so_lambda: 
x.t[x],
so_apply: x[s]
Lemmas :
subtype_rel_self,
fpf-cap_wf,
fpf_wf,
deq_wf,
fpf-cap_functionality
\mforall{}[A:Type]. \mforall{}[d1,d2:EqDecider(A)]. \mforall{}[f:a:A fp-> Type]. \mforall{}[x:A]. \mforall{}[z:Type]. (f(x)?z \msubseteq{}r f(x)?z)
Date html generated:
2011_08_10-AM-07_57_56
Last ObjectModification:
2011_06_18-AM-08_18_02
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