Nuprl Lemma : in_spr_wf
f:
. g: List . ((f 
spr(g)) 
)
Proof
Definitions occuring in Statement :
in_spr: (f spr(g)),
nat: ,
prop: ,
all: x:A. B[x],
member: t T,
function: x:A B[x]
Definitions :
all: x:A. B[x],
nat: ,
member: t T,
in_spr: (f spr(g)),
so_lambda: 
x.t[x],
int_seg: {i..j
},
le: A 
B,
lelt: i j < k,
implies: P 
Q,
and: P 
Q,
not: 
A,
false: False,
prop: ,
uall: [x:A]. B[x],
so_apply: x[s],
uimplies: b supposing a
Lemmas :
all_wf,
equal_wf,
mklist_wf,
subtype_rel_dep_function,
int_seg_wf,
subtype_rel_sets,
lelt_wf,
le_wf,
Error :list_wf,
nat_wf
\mforall{}f:\mBbbN{} {}\mrightarrow{} \mBbbN{}. \mforall{}g:\mBbbN{} List {}\mrightarrow{} \mBbbN{}. ((f \mmember{} spr(g)) \mmember{} \mBbbP{})
Date html generated:
2013_03_20-AM-10_32_40
Last ObjectModification:
2013_03_16-PM-06_56_28
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