Nuprl Lemma : vr_natInd4
P:
. (((P 0) 
(i:. ((P (i 
4)) 
(P i)))) (n:. (P n)))
Proof not projected
Definitions occuring in Statement :
nat: ,
prop: ,
all: x:A. B[x],
implies: P Q,
and: P Q,
apply: f a,
function: x:A B[x],
divide: n m,
natural_number: $n
Definitions :
all: x:A. B[x],
nat: ,
prop: ,
implies: P Q,
member: t 
T,
le: A 
B,
not: 
A,
false: False,
so_lambda: 
x.t[x],
nat_plus: 
,
exists: 
x:A. B[x],
subtype: S 
T,
and: P Q,
length: ||as||,
ycomb: Y,
uall: [x:A]. B[x],
so_apply: x[s],
int_seg: {i..j
},
lelt: i j < k,
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T}
Lemmas :
nat_wf,
and_wf,
le_wf,
all_wf,
divide_wf,
equal_wf,
sum_wf,
length_wf_nat,
int_seg_wf,
exp_wf2,
select_wf,
length_wf,
subtype_base_sq,
int_subtype_base,
set_subtype_base,
vr_divKplus
\mforall{}P:\mBbbN{} {}\mrightarrow{} \mBbbP{}. (((P 0) \mwedge{} (\mforall{}i:\mBbbN{}. ((P (i \mdiv{} 4)) {}\mRightarrow{} (P i)))) {}\mRightarrow{} (\mforall{}n:\mBbbN{}. (P n)))
Date html generated:
2012_02_20-PM-03_32_08
Last ObjectModification:
2012_02_02-PM-01_55_05
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