Nuprl Lemma : bar26_4a_imp_fan26_6a
bar_26_4a{i:l}() 
fan_26_6a{i:l}()
Proof
Definitions occuring in Statement :
fan_26_6a: fan_26_6a{i:l}(),
bar_26_4a: bar_26_4a{i:l}(),
implies: P Q
Definitions :
int_seg: {i..j
},
so_lambda: 
x.t[x],
member: t 
T,
fin_spr: fin_spr(B),
prop: 
,
nat: 
,
all: 
x:A. B[x],
fan_26_6a: fan_26_6a{i:l}(),
implies: P Q,
nil: Error :nil,
exists: 
x:A. B[x],
and: P 
Q,
le: A 
B,
ifthenelse: if b then t else f fi ,
list-in-fin_spr: (a fspr(B)),
it: 
,
btrue: tt,
not: 
A,
false: False,
bfalse: ff,
list_ind_reverse: Error :list_ind_reverse,
eq_int: (i =
j),
length: ||as||,
list_ind: Error :list_ind,
cand: A c B,
mklist: mklist(n;f),
primrec: primrec(n;b;c),
squash: 
T,
true: True,
top: Top,
rev_implies: P 
Q,
iff: P Q,
lelt: i j < k,
uimplies: b supposing a,
so_apply: x[s],
uall: [x:A]. B[x],
bar_26_4a: bar_26_4a{i:l}(),
append: as @ bs,
bool: 
,
unit: Unit,
assert: 
b,
uiff: uiff(P;Q),
bnot: 
b,
or: P 
Q,
sq_type: SQType(T),
guard: {T},
ge: i 
j ,
sq_stable: SqStable(P)
Lemmas :
bar_26_4a_wf,
decidable_wf,
Error :list_wf,
ext-eq_weakening,
subtype_rel_weakening,
lelt_wf,
subtype_rel_sets,
subtype_rel_dep_function,
le_wf,
subtype_rel_set_simple,
int_seg_wf,
subtype_rel_set,
mklist_wf,
nat_wf,
exists_wf,
fin_spr_wf,
all_wf,
list-in-fin_spr_wf,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
Error :assert-bnot,
nat_properties,
append_wf,
subtype_rel_self,
Error :zero-le-nat,
Error :cons_wf,
Error :nil_wf,
fin_spr_is_spr,
fin_spr_as_list,
append_back_nil,
boolean_as_01,
list-in-fin_spr_unfold_prp,
FIM26_5,
ge_wf,
append_assoc_sq,
squash_wf,
true_wf,
Error :mklist-prepend1,
Error :isaxiom_wf_list,
and_wf,
Error :sq_stable__le
bar\_26\_4a\{i:l\}() {}\mRightarrow{} fan\_26\_6a\{i:l\}()
Date html generated:
2013_03_20-AM-10_37_16
Last ObjectModification:
2013_03_11-PM-11_45_36
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