Nuprl Lemma : rotate-ring-eq-sets
T:Type. L1,L2:T List. (rotate-ring(T;L1;L2) 
(x:{x:T| (x 
L1)} . (x {x:T| (x L2)} )))
Proof not projected
Definitions occuring in Statement :
rotate-ring: rotate-ring(T;L1;L2),
all: x:A. B[x],
implies: P Q,
member: t T,
set: {x:A| B[x]} ,
list: type List,
universe: Type,
l_member: (x l)
Definitions :
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
BHyp: Error :BHyp,
Auto: Error :Auto,
universe: Type,
prop: 
,
equal: s = t,
member: t T,
isect: 
x:A. B[x],
uall: [x:A]. B[x],
function: x:A 
B[x],
all: x:A. B[x],
l_member: (x l),
set: {x:A| B[x]} ,
list: type List,
rotate-ring: rotate-ring(T;L1;L2),
implies: P Q,
exists: 
x:A. B[x],
product: x:A 
B[x],
cand: A c
B,
less_than: a < b,
nat: 
,
subtype_rel: A 
r B,
uiff: uiff(P;Q),
and: P Q,
uimplies: b supposing a,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
iff: P 
Q,
rev_implies: P Q
Lemmas :
l_member_wf,
rotate-ring-property1,
nat_wf,
rotate-ring_wf
\mforall{}T:Type. \mforall{}L1,L2:T List. (rotate-ring(T;L1;L2) {}\mRightarrow{} (\mforall{}x:\{x:T| (x \mmember{} L1)\} . (x \mmember{} \{x:T| (x \mmember{} L2)\} )))
Date html generated:
2012_02_20-PM-05_54_57
Last ObjectModification:
2012_02_02-PM-02_29_17
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