Nuprl Lemma : int_consensus_test_wf
∀[s:𝔹 × ℤ × Id List × ℤ List × ℤ]. (int_consensus_test(s) ∈ ℤ × ℤ + Top)
Proof
Definitions occuring in Statement :
int_consensus_test: int_consensus_test(s),
Id: Id,
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
product: x:A × B[x],
union: left + right,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
int_consensus_test: int_consensus_test(s),
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,
top: Top
Latex:
\mforall{}[s:\mBbbB{} \mtimes{} \mBbbZ{} \mtimes{} Id List \mtimes{} \mBbbZ{} List \mtimes{} \mBbbZ{}]. (int\_consensus\_test(s) \mmember{} \mBbbZ{} \mtimes{} \mBbbZ{} + Top)
Date html generated:
2016_05_16-PM-00_38_30
Last ObjectModification:
2015_12_29-PM-01_34_50
Theory : event-ordering
Home
Index