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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
int_consensus_accum: int_consensus_accum(num),
consensus-accum-num: consensus-accum-num(num;f;s;r),
spreadn: let a,b,c,d,e = u in v[a; b; c; d; e],
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
spreadn: spread3,
not: ¬A,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\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:
2016_05_16-PM-00_37_46
Last ObjectModification:
2015_12_29-PM-01_35_20
Theory : event-ordering
Home
Index