Nuprl Lemma : int_consensus_accum_wf
∀[n:ℤ]
(int_consensus_accum(n) ∈ (𝔹 × ℤ × Id List × ℤ List × ℤ) ─→ (ℤ + (Id × ℤ × ℤ)) ─→ (𝔹 × ℤ × Id List × ℤ List × ℤ))
Proof
Definitions occuring in Statement :
int_consensus_accum: int_consensus_accum(num),
Id: Id,
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
union: left + right,
int: ℤ
Lemmas :
eq_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
btrue_wf,
nil_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
lt_int_wf,
subtract_wf,
assert_of_lt_int,
bfalse_wf,
less_than_wf,
cons_wf,
let_wf,
length_wf,
remove-repeats_wf,
id-deq_wf,
strict-majority-or-max_wf,
values-for-distinct_wf,
zip_wf,
append_wf,
Id_wf,
list_wf
\mforall{}[n:\mBbbZ{}]
(int\_consensus\_accum(n) \mmember{} (\mBbbB{} \mtimes{} \mBbbZ{} \mtimes{} Id List \mtimes{} \mBbbZ{} List \mtimes{} \mBbbZ{})
{}\mrightarrow{} (\mBbbZ{} + (Id \mtimes{} \mBbbZ{} \mtimes{} \mBbbZ{}))
{}\mrightarrow{} (\mBbbB{} \mtimes{} \mBbbZ{} \mtimes{} Id List \mtimes{} \mBbbZ{} List \mtimes{} \mBbbZ{}))
Date html generated:
2015_07_17-AM-11_48_59
Last ObjectModification:
2015_01_28-AM-00_44_00
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