Nuprl Lemma : decidable__cs-not-completed
∀[V:Type]. ∀A:Id List. ∀s:ConsensusState. ∀a:{a:Id| (a ∈ A)} . ∀i:ℤ. Dec(in state s, a has not completed inning i)
Proof
Definitions occuring in Statement :
cs-not-completed: in state s, a has not completed inning i,
consensus-state4: ConsensusState,
Id: Id,
l_member: (x ∈ l),
list: T List,
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
int: ℤ,
universe: Type
Definitions unfolded in proof :
cs-not-completed: in state s, a has not completed inning i,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top,
prop: ℙ,
implies: P ⇒ Q,
and: P ∧ Q,
cand: A c∧ B,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[V:Type]
\mforall{}A:Id List. \mforall{}s:ConsensusState. \mforall{}a:\{a:Id| (a \mmember{} A)\} . \mforall{}i:\mBbbZ{}.
Dec(in state s, a has not completed inning i)
Date html generated:
2016_05_16-AM-11_57_34
Last ObjectModification:
2015_12_29-PM-01_19_10
Theory : event-ordering
Home
Index