Nuprl Lemma : pv8_p1_on_p2a_wf
[Cid,Op:ValueAllType]. [eq_Cid:EqDecider(Cid)]. [ldrs_uid:Id 
].
(pv8_p1_on_p2a(Cid;Op;eq_Cid;ldrs_uid) 
Id
Id 
Id? Id Cid Op
Id? (( Id? Id Cid Op) List)
( Id? (( Id? Id Cid Op) List)))
Proof not projected
Definitions occuring in Statement :
pv8_p1_on_p2a: pv8_p1_on_p2a(Cid;Op;eq_Cid;ldrs_uid),
Id: Id,
uall: [x:A]. B[x],
unit: Unit,
member: t T,
function: x:A B[x],
product: x:A B[x],
union: left + right,
list: type List,
int: ,
deq: EqDecider(T),
vatype: ValueAllType
Definitions :
bfalse: ff,
so_lambda: 
x.t[x],
btrue: tt,
implies: P 
Q,
all: x:A. B[x],
pv8_p1_add_if_new: pv8_p1_add_if_new(),
ifthenelse: if b then t else f fi ,
let: let,
pv8_p1_on_p2a: pv8_p1_on_p2a(Cid;Op;eq_Cid;ldrs_uid),
member: t T,
vatype: ValueAllType,
uall: [x:A]. B[x],
prop: 
,
so_apply: x[s],
and: P 
Q,
uiff: uiff(P;Q),
uimplies: b supposing a,
bool: 
,
unit: Unit,
it: 
Lemmas :
deq_wf,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
assert_wf,
equal_wf,
uiff_transitivity,
append_wf,
l_member_wf,
valueall-type_wf,
pv8_p1_same_pvalue_wf,
unit_wf2,
Id_wf,
bl-exists_wf,
ifthenelse_wf,
pv8_p1_max_bnum_wf,
eqtt_to_assert,
bool_wf,
pv8_p1_leq_bnum_wf
\mforall{}[Cid,Op:ValueAllType]. \mforall{}[eq$_{Cid}$:EqDecider(Cid)]. \mforall{}[ldrs$_{uid\mbackslash{}f\000Cf7d$:Id {}\mrightarrow{} \mBbbZ{}].
(pv8\_p1\_on\_p2a(Cid;Op;eq$_{Cid}$;ldrs$_{uid}$) \mmember{} Id
{}\mrightarrow{} Id \mtimes{} \mBbbZ{} \mtimes{} Id? \mtimes{} \mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op
{}\mrightarrow{} \mBbbZ{} \mtimes{} Id? \mtimes{} ((\mBbbZ{} \mtimes{} Id? \mtimes{} \mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op) List)
{}\mrightarrow{} (\mBbbZ{} \mtimes{} Id? \mtimes{} ((\mBbbZ{} \mtimes{} Id? \mtimes{} \mBbbZ{} \mtimes{} Id \mtimes{} Cid \mtimes{} Op) List)))
Date html generated:
2012_02_20-PM-07_24_58
Last ObjectModification:
2012_02_06-PM-01_58_01
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