Nuprl Lemma : fin_spr_mem_in_fin_spr2
B:
List 
. f: . ((f 
fspr(B)) 
(f fin_spr(B)))
Proof
Definitions occuring in Statement :
in_fin_spr: (f fspr(B)),
fin_spr: fin_spr(B),
nat: ,
all: x:A. B[x],
implies: P Q,
member: t T,
function: x:A B[x]
Definitions :
all: x:A. B[x],
nat: ,
implies: P Q,
member: t T,
fin_spr: fin_spr(B),
so_lambda: 
x.t[x],
int_seg: {i..j
},
lelt: i 
j < k,
and: P 
Q,
uall: [x:A]. B[x],
prop: 
,
so_apply: x[s],
uimplies: b supposing a,
in_fin_spr: (f fspr(B)),
guard: {T}
Lemmas :
nat_wf,
all_wf,
le_wf,
mklist_wf,
subtype_rel_dep_function,
int_seg_wf,
subtype_rel_sets,
lelt_wf,
in_fin_spr_wf,
Error :list_wf
\mforall{}B:\mBbbN{} List {}\mrightarrow{} \mBbbN{}. \mforall{}f:\mBbbN{} {}\mrightarrow{} \mBbbN{}. ((f \mmember{} fspr(B)) {}\mRightarrow{} (f \mmember{} fin\_spr(B)))
Date html generated:
2013_03_20-AM-10_34_38
Last ObjectModification:
2013_03_17-PM-04_24_45
Home
Index