Nuprl Lemma : natInd4Boot22
P:
. (((P 0) 
(i:. ((P (i 
4)) 
(P i)))) (n:. (P n)))
Proof
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,
and: P Q,
int_seg: {i..j
},
member: t 
T,
not: 
A,
lelt: i 
j < k,
nequal: a 
b T ,
false: False,
le: A B,
nat_plus: 
,
so_lambda: 
x.t[x],
so_apply: x[s1;s2],
so_lambda: x y.t[x; y],
decidable: Dec(P),
or: P 
Q,
uall: [x:A]. B[x],
uimplies: b supposing a,
so_apply: x[s],
sq_type: SQType(T),
guard: {T}
Lemmas :
decidable__equal_int,
divide_wf,
div_mono1,
le_wf,
lelt_wf,
all_wf,
int_seg_wf,
Error :natrec_wf,
nat_wf,
subtype_base_sq,
int_subtype_base
\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:
2013_03_20-AM-09_47_19
Last ObjectModification:
2012_11_27-AM-10_31_59
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