{ 
[A:Type]. [P:A 
]. [B:A Type].
(a:{a:A| P[a]} fp-> B[a] 
r a:A fp-> B[a]) }
{ Proof }
Definitions occuring in Statement :
fpf: a:A fp-> B[a],
subtype_rel: A r B,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
set: {x:A| B[x]} ,
function: x:A B[x],
universe: Type
Definitions :
isect: 
x:A. B[x],
uall: [x:A]. B[x],
parameter: parm{i},
CollapseTHEN: Error :CollapseTHEN,
tactic: Error :tactic
Lemmas :
subtype-fpf-general
\mforall{}[A:Type]. \mforall{}[P:A {}\mrightarrow{} \mBbbP{}]. \mforall{}[B:A {}\mrightarrow{} Type]. (a:\{a:A| P[a]\} fp-> B[a] \msubseteq{}r a:A fp-> B[a])
Date html generated:
2011_08_10-AM-07_54_28
Last ObjectModification:
2011_06_18-AM-08_15_00
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