{ 
[A:Type]. [P:A 
]. [eq:EqDecider(A)]. [B:A Type].
[f,g:x:A fp-> B[x]].
f || fpf-restrict(g;P) supposing f || g }
{ Proof }
Definitions occuring in Statement :
fpf-restrict: fpf-restrict(f;P),
fpf-compatible: f || g,
fpf: a:A fp-> B[a],
bool: ,
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
function: x:A B[x],
universe: Type,
deq: EqDecider(T)
Definitions :
uall: [x:A]. B[x],
so_apply: x[s],
uimplies: b supposing a,
fpf-compatible: f || g,
all: x:A. B[x],
implies: P 
Q,
and: P 
Q,
member: t 
T,
so_lambda: 
x.t[x],
prop: 
,
uiff: uiff(P;Q),
guard: {T}
Lemmas :
fpf-restrict-dom,
assert_wf,
fpf-dom_wf,
fpf-trivial-subtype-top,
fpf-restrict_wf2,
top_wf,
fpf-ap_wf,
fpf_wf,
deq_wf,
bool_wf
\mforall{}[A:Type]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}]. \mforall{}[eq:EqDecider(A)]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[f,g:x:A fp-> B[x]].
f || fpf-restrict(g;P) supposing f || g
Date html generated:
2011_08_10-AM-08_09_58
Last ObjectModification:
2011_06_18-AM-08_26_08
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