Nuprl Lemma : consensus-event-constraint_wf
∀[V:Type]. ∀[A:Id List]. ∀[a:{a:Id| (a ∈ A)} ]. ∀[W:{a:Id| (a ∈ A)} List List]. ∀[e:consensus-event(V;A)].
∀[x:consensus-state6(V;A)].
(e@a allowed in state x ∈ ℙ)
Proof
Definitions occuring in Statement :
consensus-event-constraint: e@a allowed in state x,
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,
consensus-event-constraint: e@a allowed in state x,
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
consensus-state6: consensus-state6(V;A),
so_apply: x[s],
all: ∀x:A. B[x],
spreadn: spread3,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top,
nat: ℕ,
int_seg: {i..j-},
lelt: i ≤ j < k
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List].
\mforall{}[e:consensus-event(V;A)]. \mforall{}[x:consensus-state6(V;A)].
(e@a allowed in state x \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-00_30_19
Last ObjectModification:
2015_12_29-PM-01_31_20
Theory : event-ordering
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