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
Lemmas :
all_wf,
archive-event_wf,
consensus-accum-state_wf,
fpf_wf,
top_wf,
not_wf,
l_member_wf,
fpf-domain_wf,
subtype-fpf2,
cs-knowledge-precondition_wf,
nat_wf,
int_seg_wf,
unit_wf2,
consensus-message_wf,
int_seg_properties,
le_wf,
assert_wf,
fpf-dom_wf,
int-deq_wf,
less_than_wf,
fpf-ap_wf,
consensus-state6_wf,
consensus-event_wf,
list_wf,
Id_wf,
set_wf
\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:
2015_07_17-AM-11_45_24
Last ObjectModification:
2015_01_28-AM-01_31_50
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