Nuprl Lemma : aa_not_total_enumerable
(
f:
. Surj(; ;f))
Proof
Definitions occuring in Statement :
surject: Surj(A;B;f),
bool: ,
nat: ,
exists: x:A. B[x],
not: A,
function: x:A B[x]
Definitions :
not: A,
implies: P 
Q,
member: t 
T,
so_lambda: 
x.t[x],
all: 
x:A. B[x],
exists: x:A. B[x],
iff: P 
Q,
and: P 
Q,
rev_implies: P Q,
bnot: 
b,
btrue: tt,
ifthenelse: if b then t else f fi ,
assert: 
b,
bfalse: ff,
true: True,
surject: Surj(A;B;f),
uall: [x:A]. B[x],
so_apply: x[s],
bool: ,
false: False,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
prop: 
,
sq_type: SQType(T),
guard: {T},
it: 
Lemmas :
exists_wf,
nat_wf,
bool_wf,
surject_wf,
bnot_wf,
assert_wf,
all_wf,
iff_wf,
eqtt_to_assert,
uiff_transitivity,
equal_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
btrue_neq_bfalse,
assert_elim,
bfalse_wf,
and_wf,
subtype_base_sq,
bool_subtype_base,
not_assert_elim,
btrue_wf
\mneg{}(\mexists{}f:\mBbbN{} {}\mrightarrow{} \mBbbN{} {}\mrightarrow{} \mBbbB{}. Surj(\mBbbN{};\mBbbN{} {}\mrightarrow{} \mBbbB{};f))
Date html generated:
2013_03_20-AM-09_49_28
Last ObjectModification:
2012_11_27-AM-10_32_04
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