Nuprl Lemma : st-ptr-wf2
∀[T:Id ─→ Type]. ∀[tab:secret-table(T)]. ptr(tab) ∈ ℕ||tab|| supposing ↑isl(next(tab))
Proof
Definitions occuring in Statement :
st-next: next(tab)
,
st-ptr: ptr(tab)
,
st-length: ||tab||
,
secret-table: secret-table(T)
,
Id: Id
,
int_seg: {i..j-}
,
assert: ↑b
,
isl: isl(x)
,
uimplies: b supposing a
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
,
function: x:A ─→ B[x]
,
natural_number: $n
,
universe: Type
Lemmas :
st-ptr_wf,
nat_wf,
zero-le-nat,
lelt_wf,
st-length_wf,
assert_wf,
lt_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_lt_int,
btrue_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
less_than_wf,
bfalse_wf,
secret-table_wf,
Id_wf,
bool_cases,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. ptr(tab) \mmember{} \mBbbN{}||tab|| supposing \muparrow{}isl(next(tab))
Date html generated:
2015_07_17-AM-08_56_35
Last ObjectModification:
2015_01_27-PM-01_04_17
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