Nuprl Lemma : brouwer_prin_27_2_imp_27_5
brouwer_prin_for_num_27_2{i:l}() 
brouwer_prin_27_5{i:l}()
Proof
Definitions occuring in Statement :
brouwer_prin_27_5: brouwer_prin_27_5{i:l}(),
brouwer_prin_for_num_27_2: brouwer_prin_for_num_27_2{i:l}(),
implies: P Q
Definitions :
implies: P Q,
brouwer_prin_27_5: brouwer_prin_27_5{i:l}(),
all: 
x:A. B[x],
prop: 
,
exists: 
x:A. B[x],
member: t 
T,
so_lambda: 
x.t[x],
nat: 
,
and: P 
Q,
le: A 
B,
int_seg: {i..j
},
not: 
A,
false: False,
lelt: i j < k,
in_spr: (f spr(g)),
rev_implies: P 
Q,
iff: P Q,
gt: i > j,
squash: 
T,
true: True,
brouwer_prin_for_num_27_2: brouwer_prin_for_num_27_2{i:l}(),
uall: [x:A]. B[x],
so_apply: x[s],
bool: 
,
unit: Unit,
btrue: tt,
uimplies: b supposing a,
assert: 
b,
uiff: uiff(P;Q),
bfalse: ff,
bnot: 
b,
or: P 
Q,
sq_type: SQType(T),
guard: {T},
ifthenelse: if b then t else f fi ,
exists_uni: Error :exists_uni,
nequal: a 
b T ,
mklist: mklist(n;f),
primrec: primrec(n;b;c),
it: 
Lemmas :
all_wf,
nat_wf,
in_spr_wf,
exists_wf,
spr_wf,
Error :list_wf,
brouwer_prin_for_num_27_2_wf,
eq_int_wf,
Error :nil_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
Error :assert-bnot,
neg_assert_of_eq_int,
spr_choice_fun,
select_wf,
gammaFIM_wf,
mklist_wf,
le_wf,
subtype_rel_dep_function,
int_seg_wf,
subtype_rel_sets,
lelt_wf,
gammaFIM_equi_length_mklist,
Error :zero-le-nat,
gammaFIM_fun,
gammaFIM_true,
gt_wf,
Error :exists_uni_wf,
monus_wf,
squash_wf,
true_wf,
gammaFIM_fun_id,
empty_spr
brouwer\_prin\_for\_num\_27\_2\{i:l\}() {}\mRightarrow{} brouwer\_prin\_27\_5\{i:l\}()
Date html generated:
2013_03_20-AM-10_38_54
Last ObjectModification:
2013_03_17-PM-05_11_54
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