Nuprl Lemma : bm_T_wf
∀[T,Key:Type]. ∀[key:Key]. ∀[value:T]. ∀[cnt:ℤ]. ∀[left,right:binary_map(T;Key)].
(bm_T(key;value;cnt;left;right) ∈ binary_map(T;Key))
Proof
Definitions occuring in Statement :
bm_T: bm_T(key;value;cnt;left;right),
binary_map: binary_map(T;Key),
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
universe: Type
Lemmas :
binary_mapco-ext,
binary_mapco_wf,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
unit_wf2,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
add_nat_wf,
false_wf,
le_wf,
binary_map_size_wf,
nat_wf,
value-type-has-value,
set-value-type,
int-value-type,
has-value_wf-partial,
binary_mapco_size_wf,
binary_map_wf
\mforall{}[T,Key:Type]. \mforall{}[key:Key]. \mforall{}[value:T]. \mforall{}[cnt:\mBbbZ{}]. \mforall{}[left,right:binary\_map(T;Key)].
(bm\_T(key;value;cnt;left;right) \mmember{} binary\_map(T;Key))
Date html generated:
2015_07_17-AM-08_17_39
Last ObjectModification:
2015_01_27-PM-00_40_20
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