Nuprl Lemma : three-cs-decided_wf
∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ+]. ∀[f:(V List) ─→ V]. ∀[v:V]. ∀[s:{a:Id| (a ∈ A)} ─→ (consensus-rcv(V;A) List)].
(three-cs-decided(V;A;t;f;s;v) ∈ ℙ)
Proof
Definitions occuring in Statement :
three-cs-decided: three-cs-decided(V;A;t;f;s;v),
consensus-rcv: consensus-rcv(V;A),
Id: Id,
l_member: (x ∈ l),
list: T List,
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
exists_wf,
list_wf,
no_repeats_wf,
length_wf,
l_all_wf2,
l_member_wf,
set_wf,
consensus-rcv_wf,
iseg_wf,
archive-condition_wf,
nat_plus_subtype_nat,
Id_wf,
nat_plus_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[f:(V List) {}\mrightarrow{} V]. \mforall{}[v:V].
\mforall{}[s:\{a:Id| (a \mmember{} A)\} {}\mrightarrow{} (consensus-rcv(V;A) List)].
(three-cs-decided(V;A;t;f;s;v) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-11_52_23
Last ObjectModification:
2015_01_28-AM-00_41_44
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