Nuprl Lemma : binary_map_case-wf2
∀[X,T,Key:Type]. ∀[x:binary-map(T;Key)]. ∀[E:X]. ∀[F:key:Key
─→ value:T
─→ cnt:ℤ
─→ left:binary-map(T;Key)
─→ right:binary-map(T;Key)
─→ X].
(binary_map_case(x;E;key,value,cnt,left,right.F[key;value;cnt;left;right]) ∈ X)
Proof
Definitions occuring in Statement :
binary-map: binary-map(T;Key),
binary_map_case: binary_map_case(m;E;key,value,cnt,left,right.F[key; value; cnt; left; right]),
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2;s3;s4;s5],
member: t ∈ T,
function: x:A ─→ B[x],
int: ℤ,
universe: Type
Lemmas :
binary_map-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
unit_wf2,
unit_subtype_base,
it_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
bm_cnt_prop_T,
assert_wf,
bm_cnt_prop_wf,
binary-map_wf
\mforall{}[X,T,Key:Type]. \mforall{}[x:binary-map(T;Key)]. \mforall{}[E:X]. \mforall{}[F:key:Key
{}\mrightarrow{} value:T
{}\mrightarrow{} cnt:\mBbbZ{}
{}\mrightarrow{} left:binary-map(T;Key)
{}\mrightarrow{} right:binary-map(T;Key)
{}\mrightarrow{} X].
(binary\_map\_case(x;E;key,value,cnt,left,right.F[key;value;cnt;left;right]) \mmember{} X)
Date html generated:
2015_07_17-AM-08_18_39
Last ObjectModification:
2015_01_27-PM-00_40_13
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