Nuprl Lemma : consensus-message_wf
∀[V:Type]. ∀[A:Id List]. ∀[b:{a:Id| (a ∈ A)} ]. ∀[i:ℕ]. ∀[z:ℕi × V?]. (consensus-message(b;i;z) ∈ consensus-event(V;A))
Proof
Definitions occuring in Statement :
consensus-message: consensus-message(b;i;z),
consensus-event: consensus-event(V;A),
Id: Id,
l_member: (x ∈ l),
list: T List,
int_seg: {i..j-},
nat: ℕ,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
set: {x:A| B[x]} ,
product: x:A × B[x],
union: left + right,
natural_number: $n,
universe: Type
Definitions unfolded in proof :
consensus-message: consensus-message(b;i;z),
consensus-event: consensus-event(V;A),
uall: ∀[x:A]. B[x],
member: t ∈ T,
nat: ℕ,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[b:\{a:Id| (a \mmember{} A)\} ]. \mforall{}[i:\mBbbN{}]. \mforall{}[z:\mBbbN{}i \mtimes{} V?].
(consensus-message(b;i;z) \mmember{} consensus-event(V;A))
Date html generated:
2016_05_16-PM-00_28_01
Last ObjectModification:
2015_12_29-PM-01_28_33
Theory : event-ordering
Home
Index