Nuprl Lemma : st-next_wf
∀[T:Id ─→ Type]. ∀[tab:secret-table(T)]. (next(tab) ∈ ℕ||tab|| × Atom1?)
Proof
Definitions occuring in Statement :
st-next: next(tab),
st-length: ||tab|| ,
secret-table: secret-table(T),
Id: Id,
int_seg: {i..j-},
atom: Atom$n,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
union: left + right,
natural_number: $n,
universe: Type
Lemmas :
secret-table_wf,
Id_wf,
lt_int_wf,
st-ptr_wf,
nat_wf,
st-length_wf,
bool_wf,
equal-wf-T-base,
assert_wf,
less_than_wf,
st-atom_wf,
unit_wf2,
le_int_wf,
le_wf,
bnot_wf,
it_wf,
int_seg_wf,
uiff_transitivity,
eqtt_to_assert,
assert_of_lt_int,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. (next(tab) \mmember{} \mBbbN{}||tab|| \mtimes{} Atom1?)
Date html generated:
2015_07_17-AM-08_57_12
Last ObjectModification:
2015_01_27-PM-01_03_03
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