Nuprl Lemma : one-consensus-event_wf
∀[V:Type]. ∀[A:Id List]. ∀[a:{a:Id| (a ∈ A)} ]. ∀[e:consensus-event(V;A)]. ∀[x,y:consensus-state6(V;A)].
(y = x after e@a ∈ ℙ)
Proof
Definitions occuring in Statement :
one-consensus-event: y = x after e@a,
consensus-state6: consensus-state6(V;A),
consensus-event: consensus-event(V;A),
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
one-consensus-event: y = x after e@a,
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
consensus-state6: consensus-state6(V;A),
so_apply: x[s]
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ]. \mforall{}[e:consensus-event(V;A)].
\mforall{}[x,y:consensus-state6(V;A)].
(y = x after e@a \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-00_30_01
Last ObjectModification:
2015_12_29-PM-01_30_13
Theory : event-ordering
Home
Index