Nuprl Lemma : ma-ring-property1
R:Id List. s:{i:Id| (i 
R)} 
{i:Id| (i R)} . i:Id.
(ma-ring(R;s) 
(i R) (
R':Id List. (rotate-ring(Id;R;R') 
(i = hd(R')) ma-ring(R';s))))
Proof not projected
Definitions occuring in Statement :
ma-ring: ma-ring(R;s),
rotate-ring: rotate-ring(T;L1;L2),
Id: Id,
hd: hd(l),
all: x:A. B[x],
exists: x:A. B[x],
implies: P Q,
and: P Q,
set: {x:A| B[x]} ,
function: x:A B[x],
list: type List,
equal: s = t,
l_member: (x l)
Definitions :
all: x:A. B[x],
implies: P Q,
exists: x:A. B[x],
member: t T,
prop: 
,
and: P Q,
cand: A c B,
so_lambda: 
x.t[x],
l_member: (x l),
nat: 
,
uall: [x:A]. B[x],
uimplies: b supposing a,
rev_implies: P 
Q,
iff: P Q,
so_apply: x[s],
guard: {T}
Lemmas :
append_wf,
nth_tl_wf,
firstn_wf,
l_member_wf,
Id_wf,
ma-ring_wf,
rotate-ring_wf,
hd_wf,
pos_length,
rotate-ring-property1,
subtype_rel_self,
subtype_rel_sets,
subtype_rel_function
\mforall{}R:Id List. \mforall{}s:\{i:Id| (i \mmember{} R)\} {}\mrightarrow{} \{i:Id| (i \mmember{} R)\} . \mforall{}i:Id.
(ma-ring(R;s) {}\mRightarrow{} (i \mmember{} R) {}\mRightarrow{} (\mexists{}R':Id List. (rotate-ring(Id;R;R') \mwedge{} (i = hd(R')) \mwedge{} ma-ring(R';s))))
Date html generated:
2012_02_20-PM-05_55_50
Last ObjectModification:
2012_02_02-PM-02_29_44
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